id
stringlengths 6
16
| text
stringlengths 49
2.62k
| category
int64 0
19
| __index_level_0__
int64 4
861k
| input_ids
sequence | token_type_ids
sequence | attention_mask
sequence |
|---|---|---|---|---|---|---|
2104.02049 | witten reshetikhin turaev invariant manifold lagrangian intersection configuration space paper construct topological model witten reshetikhin turaev invariant manifold coming quantum group graded intersection pairing homology class configuration space precisely fixed level show level wrt invariant manifold state sum lagrangian intersection covering bf fixed configuration space punctured disk model brings new perspective structure level witten reshetikhin turaev invariant showing completely encoded intersection point certain lagrangian submanifolds fixed configuration space additional grading come particular choice local system formula provides new framework investigating open question categorifications wrt invariant | 1 | 314,540 | [
101,
15966,
6528,
24501,
27065,
28209,
2378,
10722,
16652,
2615,
23915,
19726,
2474,
17643,
3070,
2937,
6840,
9563,
2686,
3259,
9570,
24309,
2944,
15966,
6528,
24501,
27065,
28209,
2378,
10722,
16652,
2615,
23915,
19726,
2746,
8559,
2177,
21976,
6840,
22778,
24004,
6483,
2465,
9563,
2686,
10785,
4964,
2504,
2265,
2504,
23277,
2102,
23915,
19726,
2110,
7680,
2474,
17643,
3070,
2937,
6840,
5266,
28939,
4964,
9563,
2686,
26136,
14890,
2094,
9785,
2944,
7545,
2047,
7339,
3252,
2504,
15966,
6528,
24501,
27065,
28209,
2378,
10722,
16652,
2615,
23915,
4760,
3294,
12359,
6840,
2391,
3056,
2474,
17643,
3070,
2937,
4942,
20799,
10371,
2015,
4964,
9563,
2686,
3176,
26886,
2272,
3327,
3601,
2334,
2291,
5675,
3640,
2047,
7705,
11538,
2330,
3160,
4937,
20265,
3089,
10803,
2015,
23277,
2102,
23915,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1811.1268 | voevent solar planetary science planetary space weather service psws europlanet research insfrastructure epnri project proposing compelling set database tool provides space weather forecasting throughout solar system present selected event transfer system voevent describe user requirement develop way implement event alert chain planetary event planetary space weather prediction service alert developed objective facilitate discovery prediction announcement within psws user community order watch warn specific event ultimate objective set dedicated amateur andor professional observation campaign diffuse contextual information science data analysis enable safety operation planet orbiting spacecraft risk impact meteor solar wind disturbance | 10 | 691,596 | [
101,
29536,
18697,
3372,
5943,
17700,
2671,
17700,
2686,
4633,
2326,
8827,
9333,
9944,
11751,
2102,
2470,
16021,
27843,
3367,
6820,
14890,
4958,
16118,
2072,
2622,
21991,
17075,
2275,
7809,
6994,
3640,
2686,
4633,
19939,
2075,
2802,
5943,
2291,
2556,
3479,
2724,
4651,
2291,
29536,
18697,
3372,
6235,
5310,
9095,
4503,
2126,
10408,
2724,
9499,
4677,
17700,
2724,
17700,
2686,
4633,
17547,
2326,
9499,
2764,
7863,
10956,
5456,
17547,
8874,
2306,
8827,
9333,
5310,
2451,
2344,
3422,
11582,
3563,
2724,
7209,
7863,
2275,
4056,
5515,
1998,
2953,
2658,
8089,
3049,
28105,
6123,
8787,
2592,
2671,
2951,
4106,
9585,
3808,
3169,
4774,
26472,
12076,
3891,
4254,
23879,
5943,
3612,
16915,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1907.13321 | acceleration energetic particle coronal shock emergence double power law feature particle energy spectrum present numerical modelling particle acceleration coronal shock propagating streamer like magnetic field solving parker transport equation spatial diffusion along across magnetic field show location shock high energy particle intensity largest depends energy particle time acceleration particle mev mainly occurs shock streamer interaction region due perpendicular shock geometry trapping effect closed magnetic field comparison particle spectrum radial magnetic field show intensity mev mev enhanced one order two order magnitude indicates streamer like magnetic field important factor producing large solar energetic particle event also show energy spectrum integrated simulation domain consists two different power law analysis suggests may mixture two distinct population accelerated streamer open field region acceleration rate differs substantially calculation also show particle spectrum affected considerably number parameter streamer tilt angle particle spatial diffusion coefficient shock compression ratio low energy spectrum agree well standard diffusive shock acceleration theory break energy range mev mev high energy spectrum extend gev slope | 10 | 519,856 | [
101,
16264,
18114,
10811,
21887,
2140,
5213,
14053,
3313,
2373,
2375,
3444,
10811,
2943,
8674,
2556,
15973,
19518,
10811,
16264,
21887,
2140,
5213,
17678,
16098,
3436,
5460,
2121,
2066,
8060,
2492,
13729,
6262,
3665,
8522,
13589,
19241,
2247,
2408,
8060,
2492,
2265,
3295,
5213,
2152,
2943,
10811,
8015,
2922,
9041,
2943,
10811,
2051,
16264,
10811,
2033,
2615,
3701,
5158,
5213,
5460,
2121,
8290,
2555,
2349,
19581,
5213,
10988,
22977,
3466,
2701,
8060,
2492,
7831,
10811,
8674,
15255,
8060,
2492,
2265,
8015,
2033,
2615,
2033,
2615,
9412,
2028,
2344,
2048,
2344,
10194,
7127,
5460,
2121,
2066,
8060,
2492,
2590,
5387,
5155,
2312,
5943,
18114,
10811,
2724,
2036,
2265,
2943,
8674,
6377,
12504,
5884,
3774,
2048,
2367,
2373,
2375,
4106,
6083,
2089,
8150,
2048,
5664,
2313,
14613,
5460,
2121,
2330,
2492,
2555,
16264,
3446,
12980,
12381,
17208,
2036,
2265,
10811,
8674,
5360,
9839,
2193,
16381,
5460,
2121,
17010,
6466,
10811,
13589,
19241,
19064,
5213,
13379,
6463,
2659,
2943,
8674,
5993,
2092,
3115,
4487,
4246,
2271,
3512,
5213,
16264,
3399,
3338,
2943,
2846,
2033,
2615,
2033,
2615,
2152,
2943,
8674,
7949,
16216,
2615,
9663,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2007.14515 | stable community structure social exclusion paper study social exclusion social information network using game theoretic approach study stability certain class community structure nash equilibrium main result analysis show stable community structure nash equilibrium class community structure agent socially excluded belong community result quite striking suggests social exclusion might norm expected outcome social network rather anomaly | 0 | 29,269 | [
101,
6540,
2451,
3252,
2591,
15945,
3259,
2817,
2591,
15945,
2591,
2592,
2897,
2478,
2208,
14833,
13465,
2594,
3921,
2817,
9211,
3056,
2465,
2451,
3252,
10594,
14442,
2364,
2765,
4106,
2265,
6540,
2451,
3252,
10594,
14442,
2465,
2451,
3252,
4005,
14286,
12421,
7141,
2451,
2765,
3243,
8478,
6083,
2591,
15945,
2453,
13373,
3517,
9560,
2591,
2897,
2738,
28685,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2001.11319 | spectroscopic orbit three dwarf barium star barium star thought result binary evolution system wide enough allow massive component reach asymptotic giant branch eventually become co white dwarf ba star initially known among giant subgiant star subsequently discovered also main sequence known dwarf ba star provide orbital parameter three dwarf ba star completing sample orbit published recently escorza et al three southern target show new orbital parameter consistent dwarf ba star | 10 | 92,970 | [
101,
28699,
13181,
24895,
8753,
2093,
11229,
22466,
2819,
2732,
22466,
2819,
2732,
2245,
2765,
12441,
6622,
2291,
2898,
2438,
3499,
5294,
6922,
3362,
2004,
24335,
13876,
20214,
5016,
3589,
2776,
2468,
2522,
2317,
11229,
8670,
2732,
3322,
2124,
2426,
5016,
4942,
10440,
3372,
2732,
3525,
3603,
2036,
2364,
5537,
2124,
11229,
8670,
2732,
3073,
13943,
16381,
2093,
11229,
8670,
2732,
7678,
7099,
8753,
2405,
3728,
9686,
27108,
4143,
3802,
2632,
2093,
2670,
4539,
2265,
2047,
13943,
16381,
8335,
11229,
8670,
2732,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1806.07192 | product expansive markov map hole consider product expansive markov map interval hole conjugate subshift finite type certain class map known escape rate given hole depend size also position state space illustrate phenomenon map considered compare escape rate connected hole hole union hole certain property measure give rise interesting combinatorial problem | 1 | 522,608 | [
101,
4031,
25145,
28003,
2615,
4949,
4920,
5136,
4031,
25145,
28003,
2615,
4949,
13483,
4920,
9530,
9103,
5867,
4942,
6182,
6199,
10713,
2828,
3056,
2465,
4949,
2124,
4019,
3446,
2445,
4920,
12530,
2946,
2036,
2597,
2110,
2686,
19141,
9575,
4949,
2641,
12826,
4019,
3446,
4198,
4920,
4920,
2586,
4920,
3056,
3200,
5468,
2507,
4125,
5875,
22863,
23207,
4818,
3291,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2108.02411 | locking multi laser frequency precision wavelength meter report simultaneous frequency stabilization two nm external cavity diode laser using precision wavelength meter wlm laser lock performance characterized allan deviation measurement find averaging time also obtain spectral profile heterodyne spectroscopy identifying contribution white flicker noise laser linewidth frequency drift wlm measured mhz hour utilizing two laser cooling repumping field demonstrate magneto optical trap rb atom near high finesse optical cavity laser stabilization technique operates broad wavelength range without radio frequency element | 2 | 91,593 | [
101,
14889,
4800,
9138,
6075,
11718,
19934,
8316,
3189,
17424,
6075,
28715,
2048,
13221,
6327,
17790,
4487,
10244,
9138,
2478,
11718,
19934,
8316,
1059,
13728,
9138,
5843,
2836,
7356,
8926,
24353,
10903,
2424,
14985,
2051,
2036,
6855,
17435,
6337,
21770,
10624,
5149,
2638,
25458,
12151,
6691,
2317,
17909,
5005,
9138,
2240,
9148,
11927,
2232,
6075,
11852,
1059,
13728,
7594,
11413,
3178,
16911,
2048,
9138,
11520,
16360,
24237,
2075,
2492,
10580,
16853,
2080,
9380,
8132,
21144,
13787,
2379,
2152,
21892,
3366,
9380,
17790,
9138,
28715,
6028,
5748,
5041,
19934,
2846,
2302,
2557,
6075,
5783,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1901.03124 | active learning one class classification using two one class classifier paper introduces novel generic active learning method one class classification active learning method play important role reduce effort manual labeling field machine learning although many active learning approach proposed last year restricted binary multi class problem one class classifier use sample one class called target class training hence require special active learning strategy strategy proposed one class classification either suffer limitation specific one class classifier performance depends particular assumption datasets like imbalance proposed method base using two one class classifier one desired target class one called outlier class allows invent new query strategy use binary query strategy define simple stopping criterion based new method two query strategy proposed provided experiment compare proposed approach known strategy various datasets show improved result almost situation | 0 | 290,283 | [
101,
3161,
4083,
2028,
2465,
5579,
2478,
2048,
2028,
2465,
2465,
18095,
3259,
13999,
3117,
12391,
3161,
4083,
4118,
2028,
2465,
5579,
3161,
4083,
4118,
2377,
2590,
2535,
5547,
3947,
6410,
28847,
2492,
3698,
4083,
2348,
2116,
3161,
4083,
3921,
3818,
2197,
2095,
7775,
12441,
4800,
2465,
3291,
2028,
2465,
2465,
18095,
2224,
7099,
2028,
2465,
2170,
4539,
2465,
2731,
6516,
5478,
2569,
3161,
4083,
5656,
5656,
3818,
2028,
2465,
5579,
2593,
9015,
22718,
3563,
2028,
2465,
2465,
18095,
2836,
9041,
3327,
11213,
2951,
13462,
2015,
2066,
10047,
26657,
3818,
4118,
2918,
2478,
2048,
2028,
2465,
2465,
18095,
2028,
9059,
4539,
2465,
2028,
2170,
2041,
14355,
2465,
4473,
1999,
15338,
2047,
23032,
5656,
2224,
12441,
23032,
5656,
9375,
3722,
7458,
19229,
2241,
2047,
4118,
2048,
23032,
5656,
3818,
3024,
7551,
12826,
3818,
3921,
2124,
5656,
2536,
2951,
13462,
2015,
2265,
5301,
2765,
2471,
3663,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1910.06238 | cosmological phase transition spontaneous confinement dynamic cosmological deconfinement phase transition studied nearly conformally invariant field theory confinement predominantly spontaneously generated associated light dilaton field show leading contribution transition rate computed within dilaton effective theory context composite higgs theory demonstrate simple scenario involving two renormalization group fixed point make transition proceed much rapidly minimal scenario thereby avoiding excessive dilution matter abundance generated transition implication gravitational wave phenomenology discussed general find le rapid phase transition associated weaker stronger gravitational wave signal various possible feature strongly coupled composite higgs phase transition discussed concretely modeled weak coupling within adscft dual randall sundrum extra dimensional description offer important insight nature transition theoretical control aspect presented companion paper | 9 | 635,178 | [
101,
2522,
25855,
9966,
4403,
6653,
17630,
21551,
8790,
2522,
25855,
9966,
21933,
2078,
23460,
3672,
4403,
6653,
3273,
3053,
23758,
3973,
23915,
2492,
3399,
21551,
9197,
27491,
7013,
3378,
2422,
29454,
22436,
2492,
2265,
2877,
6691,
6653,
3446,
24806,
2306,
29454,
22436,
4621,
3399,
6123,
12490,
7632,
21314,
3399,
10580,
3722,
11967,
5994,
2048,
17738,
17830,
22731,
2177,
4964,
2391,
2191,
6653,
10838,
2172,
5901,
10124,
11967,
8558,
9992,
11664,
29454,
13700,
3043,
14531,
7013,
6653,
25323,
19790,
4400,
6887,
16515,
3549,
6779,
6936,
2236,
2424,
3393,
5915,
4403,
6653,
3378,
15863,
6428,
19790,
4400,
4742,
2536,
2825,
3444,
6118,
11211,
12490,
7632,
21314,
4403,
6653,
6936,
5509,
2135,
14440,
5410,
19780,
2306,
14997,
2278,
6199,
7037,
12813,
3103,
21884,
4469,
8789,
6412,
3749,
2590,
12369,
3267,
6653,
9373,
2491,
7814,
3591,
7452,
3259,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2004.09739 | neural abstractive summarization structural attention attentional rnn based encoder decoder architecture achieved impressive performance abstractive summarization news article however method fail account long term dependency within sentence document problem exacerbated multi document summarization task summarizing popular opinion thread present community question answering cqa website yahoo answer quora thread contain answer often overlap contradict work present hierarchical encoder based structural attention model inter sentence inter document dependency set popular pointer generator architecture architecture derived baseline show fail generate good summary multi document setting illustrate proposed model achieves significant improvement baseline single multi document summarization setting former setting beat best baseline rouge point cnn cqa datasets respectively latter setting performance improved rouge point cqa dataset | 0 | 420,137 | [
101,
15756,
10061,
3512,
7680,
7849,
3989,
8332,
3086,
3086,
2389,
29300,
2078,
2241,
4372,
16044,
2099,
21933,
4063,
4294,
4719,
8052,
2836,
10061,
3512,
7680,
7849,
3989,
2739,
3720,
2174,
4118,
8246,
4070,
2146,
2744,
24394,
2306,
6251,
6254,
3291,
4654,
10732,
28483,
3064,
4800,
6254,
7680,
7849,
3989,
4708,
7680,
7849,
6026,
2759,
5448,
11689,
2556,
2451,
3160,
10739,
1039,
19062,
4037,
20643,
3437,
22035,
2527,
11689,
5383,
3437,
2411,
17702,
24528,
29201,
2147,
2556,
25835,
4372,
16044,
2099,
2241,
8332,
3086,
2944,
6970,
6251,
6970,
6254,
24394,
2275,
2759,
20884,
13103,
4294,
4294,
5173,
26163,
2265,
8246,
9699,
2204,
12654,
4800,
6254,
4292,
19141,
3818,
2944,
6162,
2015,
3278,
7620,
26163,
2309,
4800,
6254,
7680,
7849,
3989,
4292,
2280,
4292,
3786,
2190,
26163,
12801,
2391,
13229,
1039,
19062,
2951,
13462,
2015,
4414,
3732,
4292,
2836,
5301,
12801,
2391,
1039,
19062,
2951,
13462,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2106.03682 | adic symmetrization map harmonic algebra bachmann takeyama tasaka introduced linear map call symmetrization map paper harmonic algebra calculated explicitly element related multiple zeta value mordell tornheim type paper introduce adic generalization calculate element constructed theory colored rooted tree | 1 | 525,629 | [
101,
27133,
2278,
25353,
20058,
18886,
9276,
4949,
19452,
11208,
10384,
5804,
2202,
11613,
11937,
29289,
3107,
7399,
4949,
2655,
25353,
20058,
18886,
9276,
4949,
3259,
19452,
11208,
10174,
12045,
5783,
3141,
3674,
23870,
3643,
22822,
12662,
7950,
8049,
2828,
3259,
8970,
27133,
2278,
2236,
3989,
18422,
5783,
3833,
3399,
6910,
15685,
3392,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1906.05037 | activated random walk stochastic system particularly interesting exhibit critical behavior without fine tuning parameter phenomenon called self organized criticality context driven dissipative steady state one main model activated random walk long range effect intrinsic conservative dynamic lack simple algebraic structure cause standard tool technique break make mathematical study model remarkably challenging yet exciting progress made last ten year development framework tool method finally becoming structured lecture note present existing result reproduce technique developed far | 1 | 329,080 | [
101,
8878,
6721,
3328,
2358,
11663,
20875,
2291,
3391,
5875,
8327,
4187,
5248,
2302,
2986,
17372,
16381,
9575,
2170,
2969,
4114,
4187,
3012,
6123,
5533,
4487,
18719,
24952,
3726,
6706,
2110,
2028,
2364,
2944,
8878,
6721,
3328,
2146,
2846,
3466,
23807,
4603,
8790,
3768,
3722,
17390,
3252,
3426,
3115,
6994,
6028,
3338,
2191,
8045,
2817,
2944,
17431,
10368,
2664,
10990,
5082,
2081,
2197,
2702,
2095,
2458,
7705,
6994,
4118,
2633,
3352,
14336,
8835,
3602,
2556,
4493,
2765,
21376,
6028,
2764,
2521,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1912.06017 | borsuk ulam property homotopy class map torus klein bottle let topological space admits free involution let topological space homotopy class said borsuk ulam property respect every representative map exists point paper determine homotopy class map torus klein bottle posse borsuk ulam property respect free involution orbit space result given term certain family homomorphism involving fundamental group | 1 | 648,705 | [
101,
8945,
2869,
6968,
17359,
3286,
3200,
24004,
14399,
2100,
2465,
4949,
17153,
2271,
12555,
5835,
2292,
24309,
2686,
14456,
2489,
1999,
6767,
7630,
3508,
2292,
24309,
2686,
24004,
14399,
2100,
2465,
2056,
8945,
2869,
6968,
17359,
3286,
3200,
4847,
2296,
4387,
4949,
6526,
2391,
3259,
5646,
24004,
14399,
2100,
2465,
4949,
17153,
2271,
12555,
5835,
25751,
8945,
2869,
6968,
17359,
3286,
3200,
4847,
2489,
1999,
6767,
7630,
3508,
8753,
2686,
2765,
2445,
2744,
3056,
2155,
24004,
19539,
5994,
8050,
2177,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2106.11250 | vimpac video pre training via masked token prediction contrastive learning video understanding relies perceiving global content modeling internal connection eg causality movement spatio temporal correspondence learn interaction apply mask predict pre training task discretized video token generated via vq vae unlike language text token independent neighboring video token typically strong correlation eg consecutive video frame usually look similar hence uniformly masking individual token make task trivial learn useful representation deal issue propose block wise masking strategy mask neighboring video token spatial temporal domain also add augmentation free contrastive learning method capture global content predicting whether video clip sampled video pre train model uncurated video show pre trained model reach state art result several video understanding datasets eg ssv diving lastly provide detailed analysis model scalability pre training method design code released | 0 | 840,243 | [
101,
6819,
8737,
6305,
2678,
3653,
2731,
3081,
16520,
19204,
17547,
5688,
3512,
4083,
2678,
4824,
16803,
2566,
3401,
14966,
3795,
4180,
11643,
4722,
4434,
1041,
2290,
28102,
3012,
2929,
14690,
3695,
15850,
11061,
4553,
8290,
6611,
7308,
16014,
3653,
2731,
4708,
5860,
13465,
3550,
2678,
19204,
7013,
3081,
1058,
4160,
12436,
2063,
4406,
2653,
3793,
19204,
2981,
8581,
2678,
19204,
4050,
2844,
16902,
1041,
2290,
5486,
2678,
4853,
2788,
2298,
2714,
6516,
27423,
7308,
2075,
3265,
19204,
2191,
4708,
20610,
4553,
6179,
6630,
3066,
3277,
16599,
3796,
7968,
7308,
2075,
5656,
7308,
8581,
2678,
19204,
13589,
15850,
5884,
2036,
5587,
15476,
3672,
3370,
2489,
5688,
3512,
4083,
4118,
5425,
3795,
4180,
29458,
3251,
2678,
12528,
18925,
2678,
3653,
3345,
2944,
4895,
10841,
9250,
2678,
2265,
3653,
4738,
2944,
3362,
2110,
2396,
2765,
2195,
2678,
4824,
2951,
13462,
2015,
1041,
2290,
7020,
2615,
9404,
22267,
3073,
6851,
4106,
2944,
26743,
8553,
3653,
2731,
4118,
2640,
3642,
2207,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1902.01484 | complexity toric ideal investigate computational complexity problem toric ideal normal form grobner base graver base show problem strongly np hard general case nonetheless derive efficient algorithm taking advantage sparsity pattern matrix describe sparsity pattern graph study parameterized complexity toric ideal term graph parameter treewidth treedepth particular show normal form problem solved parameter tractable time term treedepth important application result multiway ideal arising algebraic statistic also give parameter tractable membership test reduced grobner basis test lead efficient procedure computing reduced grobner basis similar result hold graver base computation | 1 | 591,751 | [
101,
11619,
23413,
2278,
7812,
8556,
15078,
11619,
3291,
23413,
2278,
7812,
3671,
2433,
24665,
16429,
3678,
2918,
6542,
2099,
2918,
2265,
3291,
6118,
27937,
2524,
2236,
2553,
9690,
18547,
8114,
9896,
2635,
5056,
12403,
2869,
3012,
5418,
8185,
6235,
12403,
2869,
3012,
5418,
10629,
2817,
16381,
3550,
11619,
23413,
2278,
7812,
2744,
10629,
16381,
3392,
9148,
11927,
2232,
3392,
3207,
13876,
2232,
3327,
2265,
3671,
2433,
3291,
13332,
16381,
12859,
3085,
2051,
2744,
3392,
3207,
13876,
2232,
2590,
4646,
2765,
4800,
4576,
7812,
17707,
17390,
28093,
6553,
2036,
2507,
16381,
12859,
3085,
5779,
3231,
4359,
24665,
16429,
3678,
3978,
3231,
2599,
8114,
7709,
9798,
4359,
24665,
16429,
3678,
3978,
2714,
2765,
2907,
6542,
2099,
2918,
22334,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2106.09188 | physic informed cokriging model redox flow battery redox flow battery rfbs offer capability store large amount energy cheaply efficiently however need fast accurate model charge discharge curve rfb potentially improve battery capacity performance develop multifidelity model predicting charge discharge curve rfb multifidelity model use physic informed cokriging cophik machine learning method trained experimental data constrained called zero dimensional physic based model demonstrate model show good agreement experimental result significant improvement existing zero dimensional model show proposed model robust sensitive input parameter zero dimensional model also show small amount high fidelity experimental datasets needed accurate prediction range considered input parameter include current density flow rate initial concentration | 0 | 759,966 | [
101,
6887,
7274,
2594,
6727,
2522,
21638,
8004,
2075,
2944,
2417,
11636,
4834,
6046,
2417,
11636,
4834,
6046,
21792,
5910,
3749,
10673,
3573,
2312,
3815,
2943,
10036,
2135,
18228,
2174,
2342,
3435,
8321,
2944,
3715,
11889,
7774,
21792,
2497,
9280,
5335,
6046,
3977,
2836,
4503,
4800,
20740,
18605,
2944,
29458,
3715,
11889,
7774,
21792,
2497,
4800,
20740,
18605,
2944,
2224,
6887,
7274,
2594,
6727,
2522,
21638,
8004,
2075,
8872,
4048,
2243,
3698,
4083,
4118,
4738,
6388,
2951,
27570,
2170,
5717,
8789,
6887,
7274,
2594,
2241,
2944,
10580,
2944,
2265,
2204,
3820,
6388,
2765,
3278,
7620,
4493,
5717,
8789,
2944,
2265,
3818,
2944,
15873,
7591,
7953,
16381,
5717,
8789,
2944,
2036,
2265,
2235,
3815,
2152,
22625,
6388,
2951,
13462,
2015,
2734,
8321,
17547,
2846,
2641,
7953,
16381,
2421,
2783,
4304,
4834,
3446,
3988,
6693,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1904.05073 | neuralogram deep neural network based representation audio signal propose neuralogram deep neural network based representation understanding audio signal name suggests transforms audio signal dense compact representation based upon embeddings learned via neural architecture series probing signal show representation encapsulate pitch timbre rhythm based information attribute representation suggests method revealing meaningful relationship arbitrarily long audio signal readily represented existing algorithm potential numerous application audio understanding music recommendation meta data extraction name | 0 | 618,115 | [
101,
15756,
8649,
6444,
2784,
15756,
2897,
2241,
6630,
5746,
4742,
16599,
15756,
8649,
6444,
2784,
15756,
2897,
2241,
6630,
4824,
5746,
4742,
2171,
6083,
21743,
5746,
4742,
9742,
9233,
6630,
2241,
2588,
7861,
8270,
4667,
2015,
4342,
3081,
15756,
4294,
2186,
28664,
4742,
2265,
6630,
4372,
17695,
23722,
3686,
6510,
5199,
13578,
6348,
2241,
2592,
17961,
6630,
6083,
4118,
8669,
15902,
3276,
12098,
16313,
19848,
6588,
2146,
5746,
4742,
12192,
3421,
4493,
9896,
4022,
3365,
4646,
5746,
4824,
2189,
12832,
18804,
2951,
14676,
2171,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2104.11445 | atomically sharp interface enabled ultrahigh speed nonvolatile memory device development memory device ultimate performance played key role innovation modern electronics mainstream technology nonvolatile memory device manifested high capacity mechanical reliability however current major bottleneck include low extinction ratio slow operational speed although substantial effort employed improve performance typical hundred micro even milli second write time remains order magnitude longer volatile counterpart demonstrated nonvolatile floating gate memory device based van der waals heterostructures atomically sharp interface different functional element achieved ultrahigh speed programmingerasing operation verging ultimate theoretical limit nanosecond extinction ratio extraordinary performance allowed new device capability multi bit storage thus opening unforeseen application realm modern nanoelectronics offering future fabrication guideline device scale | 4 | 33,615 | [
101,
9593,
3973,
4629,
8278,
9124,
11087,
4048,
5603,
3177,
2512,
6767,
20051,
9463,
3638,
5080,
2458,
3638,
5080,
7209,
2836,
2209,
3145,
2535,
8144,
2715,
8139,
7731,
2974,
2512,
6767,
20051,
9463,
3638,
5080,
24906,
2152,
3977,
6228,
15258,
2174,
2783,
2350,
5835,
18278,
2421,
2659,
14446,
6463,
4030,
6515,
3177,
2348,
6937,
3947,
4846,
5335,
2836,
5171,
3634,
12702,
2130,
4971,
2072,
2117,
4339,
2051,
3464,
2344,
10194,
2936,
20606,
13637,
7645,
2512,
6767,
20051,
9463,
8274,
4796,
3638,
5080,
2241,
3158,
4315,
11333,
9777,
21770,
27360,
18300,
14900,
9593,
3973,
4629,
8278,
2367,
8360,
5783,
4719,
11087,
4048,
5603,
3177,
4730,
24140,
2075,
3169,
2310,
10623,
2075,
7209,
9373,
5787,
28991,
3366,
8663,
2094,
14446,
6463,
9313,
2836,
3039,
2047,
5080,
10673,
4800,
2978,
5527,
2947,
3098,
4895,
29278,
6810,
2368,
4646,
8391,
2715,
28991,
12260,
6593,
4948,
6558,
5378,
2925,
25884,
5009,
4179,
5080,
4094,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2103.0535 | real gerbes dirac cone topological insulator time reversal invariant topological insulator occupying euclidean half space determines quaternionic self adjoint fredholm family show discrete spectrum data family geometrically encoded non trivial real gerbe gerbe invariant rather naive counting dirac point precisely capture edge state completely fill bulk spectral gap topologically protected manner | 1 | 121,768 | [
101,
2613,
16216,
15185,
2229,
16101,
6305,
13171,
24309,
16021,
20350,
2051,
23163,
23915,
24309,
16021,
20350,
13992,
25826,
2431,
2686,
16463,
24209,
24932,
27678,
8713,
2969,
4748,
5558,
18447,
5965,
18884,
2155,
2265,
16246,
8674,
2951,
2155,
14965,
3973,
12359,
2512,
20610,
2613,
16216,
15185,
2063,
16216,
15185,
2063,
23915,
2738,
15743,
10320,
16101,
6305,
2391,
10785,
5425,
3341,
2110,
3294,
6039,
9625,
17435,
6578,
24309,
2135,
5123,
5450,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2008.09116 | electric dipole moment new force dark matter new source cp violation beyond standard model crucial explain baryon asymmetry universe discus impact new cp violating interaction theory dark matter candidate predicted cancellation gauge anomaly theory constraint dark matter relic density implies upper bound new symmetry breaking scale new state acquire mass investigate detail prediction electric dipole moment show relevant cp violating phase large experiment acme collaboration able fully probe theory | 17 | 383,435 | [
101,
3751,
16510,
9890,
2617,
2047,
2486,
2601,
3043,
2047,
3120,
18133,
11371,
3458,
3115,
2944,
10232,
4863,
3347,
14001,
2004,
24335,
24327,
5304,
26047,
4254,
2047,
18133,
20084,
8290,
3399,
2601,
3043,
4018,
10173,
16990,
7633,
28685,
3399,
27142,
2601,
3043,
24933,
4304,
12748,
3356,
5391,
2047,
14991,
4911,
4094,
2047,
2110,
9878,
3742,
8556,
6987,
17547,
3751,
16510,
9890,
2617,
2265,
7882,
18133,
20084,
4403,
2312,
7551,
9353,
4168,
5792,
2583,
3929,
15113,
3399,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1907.08107 | interior estimate eigenfunctions fractional laplacian bounded euclidean domain paper devoted interior ie away boundary estimate eigenfunctions fractional laplacian euclidean domain | 1 | 444,895 | [
101,
4592,
10197,
1041,
29206,
11263,
27989,
2015,
12884,
2389,
5001,
2721,
14483,
10351,
25826,
5884,
3259,
7422,
4592,
29464,
2185,
6192,
10197,
1041,
29206,
11263,
27989,
2015,
12884,
2389,
5001,
2721,
14483,
25826,
5884,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2106.03220 | pyrobocop python based robotic control optimization package manipulation collision avoidance pyrobocop lightweight python based package control optimization robotic system described nonlinear differential algebraic equation daes particular package handle system contact described complementarity constraint provides general framework specifying obstacle avoidance constraint package performs direct transcription daes set nonlinear equation performing orthogonal collocation finite element resulting optimization problem belongs class mathematical program complementarity constraint mpccs mpccs fail satisfy commonly assumed constraint qualification require special handling complementarity constraint order nonlinear program nlp solver solve effectively pyrobocop provides automatic reformulation complementarity constraint enables nlp solver perform optimization robotic system package interfaced adolc obtaining sparse derivative automatic differentiation ipopt performing optimization demonstrate effectiveness approach term speed flexibility provide several numerical example several robotic system collision avoidance well contact constraint represented using complementarity constraint provide comparison open source optimization package like casadi pyomo | 0 | 311,944 | [
101,
1052,
12541,
16429,
24163,
2361,
18750,
2241,
20478,
2491,
20600,
7427,
16924,
12365,
24685,
1052,
12541,
16429,
24163,
2361,
12038,
18750,
2241,
7427,
2491,
20600,
20478,
2291,
2649,
27400,
11658,
17390,
8522,
4830,
2229,
3327,
7427,
5047,
2291,
3967,
2649,
13711,
8486,
3723,
27142,
3640,
2236,
7705,
20648,
2075,
18355,
24685,
27142,
7427,
10438,
3622,
14193,
4830,
2229,
2275,
27400,
8522,
4488,
28721,
8902,
4135,
10719,
10713,
5783,
4525,
20600,
3291,
7460,
2465,
8045,
2565,
13711,
8486,
3723,
27142,
6131,
9468,
2015,
6131,
9468,
2015,
8246,
13225,
4141,
5071,
27142,
8263,
5478,
2569,
8304,
13711,
8486,
3723,
27142,
2344,
27400,
2565,
17953,
2361,
9611,
2099,
9611,
6464,
1052,
12541,
16429,
24163,
2361,
3640,
6882,
5290,
9513,
13711,
8486,
3723,
27142,
12939,
17953,
2361,
9611,
2099,
4685,
20600,
20478,
2291,
7427,
8278,
2094,
4748,
4747,
2278,
11381,
20288,
13819,
6882,
20582,
12997,
7361,
2102,
4488,
20600,
10580,
12353,
3921,
2744,
3177,
16991,
3073,
2195,
15973,
2742,
2195,
20478,
2291,
12365,
24685,
2092,
3967,
27142,
3421,
2478,
13711,
8486,
3723,
27142,
3073,
7831,
2330,
3120,
20600,
7427,
2066,
14124,
4305,
1052,
7677,
5302,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2011.09085 | implicative algebra ii completeness wrt set based tripos prove set based tripos implicative tripos | 1 | 572,537 | [
101,
17727,
19341,
6024,
11208,
2462,
3143,
2791,
23277,
2102,
2275,
2241,
4440,
2891,
6011,
2275,
2241,
4440,
2891,
17727,
19341,
6024,
4440,
2891,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1912.0536 | inverse scattering one dimensional helmholtz equation piecewise constant wave speed paper analyzes inverse scattering one dimensional helmholtz equation case wave speed piecewise constant scattering data recorded arbitrarily small interval frequency shown determine wave speed uniquely direct reconstruction algorithm presented algorithm exact provided data recorded sufficiently wide range frequency jump point wave speed equally spaced respect travel time numerical example show algorithm work also general case arbitrary wave speed either jump continuously varying etc giving progressively accurate approximation range recorded frequency increase key underlying theoretical insight associate scattering data composition automorphisms unit disk turn related orthogonal polynomial unit circle algorithm exploit three term recurrence orthogonal polynomial reduce required computation | 1 | 801,959 | [
101,
19262,
17501,
2028,
8789,
16254,
14854,
5753,
8522,
3538,
14244,
5377,
4400,
3177,
3259,
17908,
2015,
19262,
17501,
2028,
8789,
16254,
14854,
5753,
8522,
2553,
4400,
3177,
3538,
14244,
5377,
17501,
2951,
2680,
12098,
16313,
19848,
6588,
2235,
13483,
6075,
3491,
5646,
4400,
3177,
20640,
3622,
8735,
9896,
3591,
9896,
6635,
3024,
2951,
2680,
12949,
2898,
2846,
6075,
5376,
2391,
4400,
3177,
8053,
19835,
4847,
3604,
2051,
15973,
2742,
2265,
9896,
2147,
2036,
2236,
2553,
15275,
4400,
3177,
2593,
5376,
10843,
9671,
4385,
3228,
20519,
8321,
20167,
2846,
2680,
6075,
3623,
3145,
10318,
9373,
12369,
5482,
17501,
2951,
5512,
8285,
19539,
2015,
3131,
9785,
2735,
3141,
28721,
17505,
3131,
4418,
9896,
18077,
2093,
2744,
28667,
3126,
24413,
28721,
17505,
5547,
3223,
22334,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1912.08463 | spontaneous symmetry breaking optomechanical cavity theoretical consideration called membrane middle optomechanical cavity revealed undergoes spontaneous symmetry breaking function transparency membrane typical feature phenomenon square root development order parameter divergency critical susceptibility identified contract classical spontaneous symmetry breaking system ferromagnets ferroelectrics considered system divergency remains due interference effect internal property system reveal divergency observables spontaneous symmetry breaking optomechanical cavity might pave new way enhanced optomechanical interaction | 2 | 586,607 | [
101,
17630,
14991,
4911,
23569,
8462,
14856,
7476,
17790,
9373,
9584,
2170,
10804,
2690,
23569,
8462,
14856,
7476,
17790,
3936,
29129,
17630,
14991,
4911,
3853,
16987,
10804,
5171,
3444,
9575,
2675,
7117,
2458,
2344,
16381,
17856,
6914,
5666,
4187,
10514,
11020,
23606,
13464,
4453,
3206,
4556,
17630,
14991,
4911,
2291,
10768,
18933,
2863,
10177,
3215,
10768,
18933,
12260,
22601,
2015,
2641,
2291,
17856,
6914,
5666,
3464,
2349,
11099,
3466,
4722,
3200,
2291,
7487,
17856,
6914,
5666,
27885,
8043,
12423,
2015,
17630,
14991,
4911,
23569,
8462,
14856,
7476,
17790,
2453,
6643,
3726,
2047,
2126,
9412,
23569,
8462,
14856,
7476,
8290,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2105.09896 | spectral decimation self similar version almost mathieu type operator introduce self similar version one dimensional almost mathieu operator definition based class self similar laplacians instead standard discrete laplacian includes classical almost mathieu operator particular case main result establishes spectrum self similar almost mathieu operator completely described spectrum corresponding self similar laplacians spectral decimation framework used context spectral analysis fractal addition self similar structure model provides natural finite graph approximation model approximation helpful executing numeral simulation also useful finding spectral decimation function via schur complement computation given finite dimensional matrix self similar laplacians used model considered recently chen teplyaev proved emergence singularly continuous spectrum specific parameter use result arrive similar conclusion context self similar almost mathieu operator | 1 | 689,060 | [
101,
17435,
11703,
9581,
3508,
2969,
2714,
2544,
2471,
8785,
17301,
2828,
6872,
8970,
2969,
2714,
2544,
2028,
8789,
2471,
8785,
17301,
6872,
6210,
2241,
2465,
2969,
2714,
5001,
2721,
14483,
2015,
2612,
3115,
16246,
5001,
2721,
14483,
2950,
4556,
2471,
8785,
17301,
6872,
3327,
2553,
2364,
2765,
21009,
8674,
2969,
2714,
2471,
8785,
17301,
6872,
3294,
2649,
8674,
7978,
2969,
2714,
5001,
2721,
14483,
2015,
17435,
11703,
9581,
3508,
7705,
2109,
6123,
17435,
4106,
25312,
25572,
2140,
2804,
2969,
2714,
3252,
2944,
3640,
3019,
10713,
10629,
20167,
2944,
20167,
14044,
23448,
16371,
28990,
12504,
2036,
6179,
4531,
17435,
11703,
9581,
3508,
3853,
3081,
8040,
24572,
13711,
22334,
2445,
10713,
8789,
8185,
2969,
2714,
5001,
2721,
14483,
2015,
2109,
2944,
2641,
3728,
8802,
8915,
22086,
6679,
2615,
4928,
14053,
13048,
2135,
7142,
8674,
3563,
16381,
2224,
2765,
7180,
2714,
7091,
6123,
2969,
2714,
2471,
8785,
17301,
6872,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2104.04202 | improving power quality power sharing unbalanced multi microgrids using energy storage system integration single phase distributed generation dg unbalanced load three phase dg brings challenge operating system microgrids mg challenge include unbalanced voltage unequal power flow point common coupling pcc mg aim paper develop energy storage system es multi function control islanded multi microgrids mmg consisting single three pv dg enhance power quality power sharing mmgs proposed multi function control consists reactive power compensation rpc pcc power balance regulator pbr reactive power sharing algorithm rpsa rpc pbr improve three phase pcc voltage power unbalance mmg rpsa regulates reactive power sharing among mmgs proposed strategy experimentally validated opal rt op real time simulator voltage unbalance factor vuf pcc reduced percent percent three phase single phase reactive power shared proportionally different rated dg | 0 | 595,093 | [
101,
9229,
2373,
3737,
2373,
6631,
4895,
26657,
2094,
4800,
12702,
16523,
9821,
2478,
2943,
5527,
2291,
8346,
2309,
4403,
5500,
4245,
1040,
2290,
4895,
26657,
2094,
7170,
2093,
4403,
1040,
2290,
7545,
4119,
4082,
2291,
12702,
16523,
9821,
11460,
4119,
2421,
4895,
26657,
2094,
10004,
16655,
26426,
2373,
4834,
2391,
2691,
19780,
7473,
2278,
11460,
6614,
3259,
4503,
2943,
5527,
2291,
9686,
4800,
3853,
2491,
2479,
2098,
4800,
12702,
16523,
9821,
3461,
2290,
5398,
2309,
2093,
26189,
1040,
2290,
11598,
2373,
3737,
2373,
6631,
3461,
5620,
3818,
4800,
3853,
2491,
3774,
22643,
2373,
9430,
1054,
15042,
7473,
2278,
2373,
5703,
21618,
1052,
19892,
22643,
2373,
6631,
9896,
1054,
4523,
2050,
1054,
15042,
1052,
19892,
5335,
2093,
4403,
7473,
2278,
10004,
2373,
4895,
26657,
3461,
2290,
1054,
4523,
2050,
26773,
22643,
2373,
6631,
2426,
3461,
5620,
3818,
5656,
6388,
2135,
9398,
4383,
6728,
2389,
19387,
6728,
2613,
2051,
25837,
10004,
4895,
26657,
5387,
24728,
2546,
7473,
2278,
4359,
3867,
3867,
2093,
4403,
2309,
4403,
22643,
2373,
4207,
14267,
2135,
2367,
6758,
1040,
2290,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2106.04716 | labeled data generation inexact supervision recent advanced deep learning technique shown promising result various domain computer vision natural language processing success deep neural network supervised learning heavily relies large amount labeled data however obtaining labeled data target label often challenging due various reason cost labeling privacy issue challenge existing deep model spite relatively easy obtain data textitinexact supervision ie labelstags related target task example social medium platform overwhelmed billion post image self customized tag exact label target classification task usually related target label promising leverage tag inexact supervision relation target class generate labeled data facilitate downstream classification task however work rather limited therefore study novel problem labeled data generation inexact supervision propose novel generative framework named addes synthesize high quality labeled data target classification task learning data inexact supervision relation inexact supervision target class experimental result image text datasets demonstrate effectiveness proposed addes generating realistic labeled data inexact supervision facilitate target classification task | 0 | 584,912 | [
101,
12599,
2951,
4245,
1999,
10288,
18908,
10429,
3522,
3935,
2784,
4083,
6028,
3491,
10015,
2765,
2536,
5884,
3274,
4432,
3019,
2653,
6364,
3112,
2784,
15756,
2897,
13588,
4083,
4600,
16803,
2312,
3815,
12599,
2951,
2174,
11381,
12599,
2951,
4539,
3830,
2411,
10368,
2349,
2536,
3114,
3465,
28847,
9394,
3277,
4119,
4493,
2784,
2944,
8741,
4659,
3733,
6855,
2951,
3793,
25090,
2638,
18684,
6593,
10429,
29464,
10873,
15900,
2015,
3141,
4539,
4708,
2742,
2591,
5396,
4132,
13394,
4551,
2695,
3746,
2969,
28749,
6415,
6635,
3830,
4539,
5579,
4708,
2788,
3141,
4539,
3830,
10015,
21155,
6415,
1999,
10288,
18908,
10429,
7189,
4539,
2465,
9699,
12599,
2951,
10956,
13248,
5579,
4708,
2174,
2147,
2738,
3132,
3568,
2817,
3117,
3291,
12599,
2951,
4245,
1999,
10288,
18908,
10429,
16599,
3117,
11416,
6024,
7705,
2315,
5587,
2229,
24203,
2229,
4697,
2152,
3737,
12599,
2951,
4539,
5579,
4708,
4083,
2951,
1999,
10288,
18908,
10429,
7189,
1999,
10288,
18908,
10429,
4539,
2465,
6388,
2765,
3746,
3793,
2951,
13462,
2015,
10580,
12353,
3818,
5587,
2229,
11717,
12689,
12599,
2951,
1999,
10288,
18908,
10429,
10956,
4539,
5579,
4708,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2102.05673 | real time likelihood free inference roman binary microlensing event amortized neural posterior estimation fast automated inference binary lens single source l microlensing event sampling based bayesian algorithm eg markov chain monte carlo mcmc challenged two front high computational cost likelihood evaluation microlensing simulation code pathological parameter space negative log likelihood surface contain multitude local minimum narrow deep analysis l event usually involves grid search parameter locate approximate solution prerequisite posterior sampling expensive process often requires human loop domain expertise next generation space based microlensing survey roman space telescope expected yield thousand binary microlensing event new fast automated method desirable present likelihood free inference lfi approach named amortized neural posterior estimation neural density estimator nde learns surrogate posterior observation parametrized conditional probability distribution pre computed simulation full prior space trained simulated roman like l simulation nde produce accurate precise posterior within second observation within prior support without requiring domain expert loop thus allowing real time automated inference show nde also capture expected posterior degeneracy nde posterior could refined exact posterior downstream mcmc sampler minimal burn step | 10 | 299,288 | [
101,
2613,
2051,
16593,
2489,
28937,
3142,
12441,
12702,
7770,
7741,
2724,
16095,
23355,
15756,
15219,
24155,
3435,
12978,
28937,
12441,
10014,
2309,
3120,
1048,
12702,
7770,
7741,
2724,
16227,
2241,
3016,
25253,
9896,
1041,
2290,
28003,
2615,
4677,
10125,
9758,
11338,
12458,
8315,
2048,
2392,
2152,
15078,
3465,
16593,
9312,
12702,
7770,
7741,
12504,
3642,
4130,
10091,
16381,
2686,
4997,
8833,
16593,
3302,
5383,
20889,
2334,
6263,
4867,
2784,
4106,
1048,
2724,
2788,
7336,
8370,
3945,
16381,
12453,
15796,
5576,
3653,
2890,
24871,
15219,
16227,
6450,
2832,
2411,
5942,
2529,
7077,
5884,
11532,
2279,
4245,
2686,
2241,
12702,
7770,
7741,
5002,
3142,
2686,
12772,
3517,
10750,
4595,
12441,
12702,
7770,
7741,
2724,
2047,
3435,
12978,
4118,
16166,
2556,
16593,
2489,
28937,
1048,
8873,
3921,
2315,
16095,
23355,
15756,
15219,
24155,
15756,
4304,
9765,
9581,
4263,
1050,
3207,
10229,
7505,
21799,
15219,
8089,
11498,
11368,
18425,
18462,
9723,
4353,
3653,
24806,
12504,
2440,
3188,
2686,
4738,
23599,
3142,
2066,
1048,
12504,
1050,
3207,
3965,
8321,
10480,
15219,
2306,
2117,
8089,
2306,
3188,
2490,
2302,
9034,
5884,
6739,
7077,
2947,
4352,
2613,
2051,
12978,
28937,
2265,
1050,
3207,
2036,
5425,
3517,
15219,
2139,
6914,
6906,
5666,
1050,
3207,
15219,
2071,
15514,
6635,
15219,
13248,
11338,
12458,
7099,
2099,
10124,
6402,
3357,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1711.06483 | hopfian bassian algebra ring called hopfian cannot isomorphic proper homomorphic image called bassian cannot injection proper homomorphic image consider class hopfian bassian ring tie representability algebra chain condition ideal property particular semiprime algebra satisfying acc semiprime ideal hopfian semiprime affine pi algebra field bassian | 1 | 80,644 | [
101,
6154,
22749,
2078,
3321,
2937,
11208,
3614,
2170,
6154,
22749,
2078,
3685,
11163,
18078,
5372,
24004,
18078,
3746,
2170,
3321,
2937,
3685,
13341,
5372,
24004,
18078,
3746,
5136,
2465,
6154,
22749,
2078,
3321,
2937,
3614,
5495,
5050,
8010,
11208,
4677,
4650,
7812,
3200,
3327,
4100,
18098,
14428,
11208,
17087,
16222,
4100,
18098,
14428,
7812,
6154,
22749,
2078,
4100,
18098,
14428,
21358,
23460,
14255,
11208,
2492,
3321,
2937,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1907.09605 | bilevel optimization deep learning fractional laplacian regularization application tomography work consider generalized bilevel optimization framework solving inverse problem introduce fractional laplacian regularizer improve reconstruction quality compare total variation regularization emphasize key advantage using fractional laplacian regularizer lead linear operator opposed total variation regularization result nonlinear degenerate operator inspired residual neural network learn optimal strength regularization exponent fractional laplacian develop dedicated bilevel optimization neural network variable depth general regularized inverse problem also draw parallel activation function neural network regularization illustrate incorporate various regularizer choice proposed network example consider tomographic reconstruction model problem show improvement reconstruction quality especially limited data via fractional laplacian regularization successfully learn regularization strength fractional exponent via proposed bilevel optimization neural network observe fractional laplacian regularization outperforms total variation regularization specially encouraging important case limited noisy data | 3 | 468,395 | [
101,
23974,
15985,
20600,
2784,
4083,
12884,
2389,
5001,
2721,
14483,
3180,
3989,
4646,
3419,
9888,
2147,
5136,
18960,
23974,
15985,
20600,
7705,
13729,
19262,
3291,
8970,
12884,
2389,
5001,
2721,
14483,
3180,
17629,
5335,
8735,
3737,
12826,
2561,
8386,
3180,
3989,
17902,
3145,
5056,
2478,
12884,
2389,
5001,
2721,
14483,
3180,
17629,
2599,
7399,
6872,
4941,
2561,
8386,
3180,
3989,
2765,
27400,
2139,
6914,
22139,
6872,
4427,
21961,
15756,
2897,
4553,
15502,
3997,
3180,
3989,
16258,
21576,
12884,
2389,
5001,
2721,
14483,
4503,
4056,
23974,
15985,
20600,
15756,
2897,
8023,
5995,
2236,
3180,
3550,
19262,
3291,
2036,
4009,
5903,
13791,
3853,
15756,
2897,
3180,
3989,
19141,
13265,
2536,
3180,
17629,
3601,
3818,
2897,
2742,
5136,
3419,
13705,
8735,
2944,
3291,
2265,
7620,
8735,
3737,
2926,
3132,
2951,
3081,
12884,
2389,
5001,
2721,
14483,
3180,
3989,
5147,
4553,
3180,
3989,
3997,
12884,
2389,
16258,
21576,
3081,
3818,
23974,
15985,
20600,
15756,
2897,
11949,
12884,
2389,
5001,
2721,
14483,
3180,
3989,
2041,
4842,
22694,
2561,
8386,
3180,
3989,
11974,
11434,
2590,
2553,
3132,
20810,
2951,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2011.0763 | safety synthesis sans specification define problem learning transducer target language containing possibly conflicting transducer using membership query conjecture query requirement language subset argue natural question many situation hardware software verification devise learning algorithm problem show time query complexity polynomial respect rank target language incompatibility measure maximal length given counterexample report experiment conducted prototype implementation | 0 | 721,032 | [
101,
3808,
10752,
20344,
12827,
9375,
3291,
4083,
9099,
8566,
17119,
4539,
2653,
4820,
4298,
19326,
9099,
8566,
17119,
2478,
5779,
23032,
22647,
23032,
9095,
2653,
16745,
7475,
3019,
3160,
2116,
3663,
8051,
4007,
22616,
14386,
3366,
4083,
9896,
3291,
2265,
2051,
23032,
11619,
17505,
4847,
4635,
4539,
2653,
4297,
25377,
10450,
8553,
5468,
29160,
3091,
2445,
4675,
10288,
16613,
2571,
3189,
7551,
4146,
8773,
7375,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1912.03877 | bi semantic reconstructing generative network zero shot learning many recent method zero shot learning zsl attempt utilize generative model generate unseen visual sample semantic description random noise therefore zsl problem becomes traditional supervised classification problem however existing method based generative model focus quality synthesized sample training stage ignore importance zero shot recognition stage paper consider two point propose novel approach specially select generative adversarial network gan generative model order improve quality synthesized sample considering internal relation semantic description semantic space well fact seen unseen visual information belong different domain propose bi semantic reconstructing bsr component contain two different semantic reconstructing regressors lead training gan since semantic description available training stage improve ability classifier combine visual sample semantic description train classifier recognition stage naturally utilize bsr component transfer visual feature semantic description concatenate classification experimental result show method outperforms state art several zsl benchmark datasets significant improvement | 0 | 459,161 | [
101,
12170,
21641,
28667,
5644,
26310,
11416,
6024,
2897,
5717,
2915,
4083,
2116,
3522,
4118,
5717,
2915,
4083,
1062,
14540,
3535,
16462,
11416,
6024,
2944,
9699,
16100,
5107,
7099,
21641,
6412,
6721,
5005,
3568,
1062,
14540,
3291,
4150,
3151,
13588,
5579,
3291,
2174,
4493,
4118,
2241,
11416,
6024,
2944,
3579,
3737,
23572,
7099,
2731,
2754,
8568,
5197,
5717,
2915,
5038,
2754,
3259,
5136,
2048,
2391,
16599,
3117,
3921,
11974,
7276,
11416,
6024,
4748,
14028,
10980,
2140,
2897,
25957,
11416,
6024,
2944,
2344,
5335,
3737,
23572,
7099,
6195,
4722,
7189,
21641,
6412,
21641,
2686,
2092,
2755,
2464,
16100,
5107,
2592,
7141,
2367,
5884,
16599,
12170,
21641,
28667,
5644,
26310,
18667,
2099,
6922,
5383,
2048,
2367,
21641,
28667,
5644,
26310,
19723,
8303,
5668,
2599,
2731,
25957,
2144,
21641,
6412,
2800,
2731,
2754,
5335,
3754,
2465,
18095,
11506,
5107,
7099,
21641,
6412,
3345,
2465,
18095,
5038,
2754,
8100,
16462,
18667,
2099,
6922,
4651,
5107,
3444,
21641,
6412,
9530,
16280,
12556,
5579,
6388,
2765,
2265,
4118,
2041,
4842,
22694,
2110,
2396,
2195,
1062,
14540,
6847,
10665,
2951,
13462,
2015,
3278,
7620,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2105.08170 | zero dynamic pendulum model angular momentum feedback control bipedal locomotion low dimensional model ubiquitous bipedal robotics literature one hand simplified pendulum model selected capture center mass dynamic hand passive low dimensional model induced virtual constraint first case low dimensional model valued physical insight analytical tractability second case low dimensional model integral rigorous analysis stability walking gait full dimensional model robot paper brings two approach together clarifying commonality difference process argue angular momentum contact point better indicator robot state linear velocity concretely show approximate pendulum zero dynamic model parameterized angular momentum accurate physical robot eg leg mass related approximate model parameterized term linear velocity implement associated angular momentum based controller cassie robot demonstrate high agility robustness experiment | 0 | 66,178 | [
101,
5717,
8790,
28300,
2944,
16108,
11071,
12247,
2491,
12170,
5669,
2389,
28046,
18938,
3258,
2659,
8789,
2944,
28498,
12170,
5669,
2389,
21331,
3906,
2028,
2192,
11038,
28300,
2944,
3479,
5425,
2415,
3742,
8790,
2192,
13135,
2659,
8789,
2944,
10572,
7484,
27142,
2034,
2553,
2659,
8789,
2944,
11126,
3558,
12369,
17826,
12859,
8010,
2117,
2553,
2659,
8789,
2944,
9897,
20001,
4106,
9211,
3788,
11721,
4183,
2440,
8789,
2944,
8957,
3259,
7545,
2048,
3921,
2362,
25037,
2075,
2691,
23732,
4489,
2832,
7475,
16108,
11071,
3967,
2391,
2488,
17245,
8957,
2110,
7399,
10146,
5509,
2135,
2265,
15796,
28300,
5717,
8790,
2944,
16381,
3550,
16108,
11071,
8321,
3558,
8957,
1041,
2290,
4190,
3742,
3141,
15796,
2944,
16381,
3550,
2744,
7399,
10146,
10408,
3378,
16108,
11071,
2241,
11486,
8869,
8957,
10580,
2152,
12943,
15148,
15873,
2791,
7551,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1901.10114 | optimising clifford circuit quantomatic present system equation clifford circuit derivable zx calculus formalised rewrite rule quantomatic proof assistant combining rule non trivial simplification procedure defined quantomatic tactic language demonstrate use quantomatic circuit optimisation tool prove system always reduces clifford circuit one two qubits minimal form give numerical result demonstrating performance larger clifford circuit | 0 | 382,172 | [
101,
23569,
27605,
7741,
13894,
4984,
24110,
20389,
12070,
2556,
2291,
8522,
13894,
4984,
4315,
11444,
3468,
1062,
2595,
19276,
5337,
5084,
2128,
26373,
3627,
24110,
20389,
12070,
6947,
3353,
11566,
3627,
2512,
20610,
21934,
24759,
9031,
7709,
4225,
24110,
20389,
12070,
19717,
2653,
10580,
2224,
24110,
20389,
12070,
4984,
23569,
27605,
26652,
6994,
6011,
2291,
2467,
13416,
13894,
4984,
2028,
2048,
24209,
16313,
2015,
10124,
2433,
2507,
15973,
2765,
14313,
2836,
3469,
13894,
4984,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1904.0836 | scl graph group let group acting tree cyclic edge vertex stabilizer stable commutator length scl rational furthermore scl varies predictably converges rational limit called surgery family homological analog phenomenon geometric convergence hyperbolic dehn surgery | 1 | 487,881 | [
101,
8040,
2140,
10629,
2177,
2292,
2177,
3772,
3392,
23750,
3341,
19449,
27790,
2099,
6540,
4012,
28120,
8844,
3091,
8040,
2140,
11581,
7297,
8040,
2140,
9783,
16014,
8231,
28314,
2015,
11581,
5787,
2170,
5970,
2155,
24004,
9966,
11698,
9575,
14965,
19143,
23760,
18647,
2139,
7295,
5970,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2004.10879 | electron electron interaction semiconductor inse electron electron interaction eeis van der waals structure one topic high current interest physic report observation negative parabolic magnetoresistance mr multilayer semiconductor inse beyond low field weak localizationantilocalization regime provide evidence eei origin mr behavior analyze negative parabolic mr observed quantum transport signature eeis temperature dependent conductance hall coefficient within framework fermi liquid theory extract gate voltage tunable fermi liquid parameter quantifies electron spin exchange interaction strength | 4 | 755,385 | [
101,
10496,
10496,
8290,
20681,
16021,
2063,
10496,
10496,
8290,
25212,
2483,
3158,
4315,
11333,
9777,
3252,
2028,
8476,
2152,
2783,
3037,
6887,
7274,
2594,
3189,
8089,
4997,
11498,
18647,
16853,
16610,
23137,
3401,
2720,
4800,
24314,
20681,
16021,
2063,
3458,
2659,
2492,
5410,
2334,
3989,
4630,
22360,
9289,
3989,
6939,
3073,
3350,
25212,
2072,
4761,
2720,
5248,
17908,
4997,
11498,
18647,
2720,
5159,
8559,
3665,
8085,
25212,
2483,
4860,
7790,
6204,
6651,
2534,
19064,
2306,
7705,
10768,
28550,
6381,
3399,
14817,
4796,
10004,
24799,
3468,
10768,
28550,
6381,
16381,
24110,
3775,
14213,
10496,
6714,
3863,
8290,
3997,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1906.02619 | hyperbolic spin ruijsenaars schneider model poisson reduction derive hamiltonian structure particle hyperbolic spin ruijsenaars schneider model mean poisson reduction suitable initial phase space phase space realised direct product heisenberg double factorisable lie group another symplectic manifold certain deformation standard canonical relation conjugate pair dynamical variable show model enjoys poisson lie symmetry spin group explains superintegrability result obtained formalism classical matrix compatible recent finding different hamiltonian structure model established framework quasi hamiltonian reduction applied quasi poisson manifold | 12 | 164,742 | [
101,
23760,
18647,
6714,
21766,
28418,
5054,
26526,
2015,
15159,
2944,
13433,
24077,
7312,
18547,
5226,
2937,
3252,
10811,
23760,
18647,
6714,
21766,
28418,
5054,
26526,
2015,
15159,
2944,
2812,
13433,
24077,
7312,
7218,
3988,
4403,
2686,
4403,
2686,
11323,
3622,
4031,
2002,
28992,
4059,
3313,
5387,
14268,
3468,
4682,
2177,
2178,
25353,
23344,
13306,
19726,
3056,
29130,
3115,
18562,
7189,
9530,
9103,
5867,
3940,
8790,
2389,
8023,
2265,
2944,
15646,
13433,
24077,
4682,
14991,
6714,
2177,
7607,
3565,
18447,
13910,
2527,
8553,
2765,
4663,
5337,
2964,
4556,
8185,
11892,
3522,
4531,
2367,
5226,
2937,
3252,
2944,
2511,
7705,
17982,
5226,
2937,
7312,
4162,
17982,
13433,
24077,
19726,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2004.1 | coarse geometry warped cone measured coupling group article prove two warped cone corresponding two group free isometric measure preserving ergodic action two manifold quasi isometric corresponding group uniformly measured equivalent ume earlier known work de laat vigolo two warped cone qi stable product qi result strengthens result go prove ume group however fisher nguyen limbeek prof warped cone corresponding two finitely presented group free abelian factor qi affine commensuration two action result seen extension result setting infinite presentability extra assumption | 1 | 180,081 | [
101,
20392,
10988,
25618,
13171,
7594,
19780,
2177,
3720,
6011,
2048,
25618,
13171,
7978,
2048,
2177,
2489,
11163,
12589,
5468,
15224,
9413,
3995,
14808,
2895,
2048,
19726,
17982,
11163,
12589,
7978,
2177,
27423,
7594,
5662,
8529,
2063,
3041,
2124,
2147,
2139,
2474,
4017,
6819,
24141,
2080,
2048,
25618,
13171,
18816,
6540,
4031,
18816,
2765,
12919,
2015,
2765,
2175,
6011,
8529,
2063,
2177,
2174,
8731,
16577,
15291,
4402,
2243,
11268,
25618,
13171,
7978,
2048,
10713,
2135,
3591,
2177,
2489,
16768,
2937,
5387,
18816,
21358,
23460,
4012,
3549,
26210,
3370,
2048,
2895,
2765,
2464,
5331,
2765,
4292,
10709,
2556,
8010,
4469,
11213,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2103.00317 | ion beam modification metastable gallium oxide polymorph gallium oxide corundum structure alpha gao recently attracted great attention view electronic photonic application due unique property including wide band gap exceeding stable beta phase beta gao however lower thermal stability alpha phase ambient condition comparison beta phase requires careful investigation resistance external influence ion irradiation ion doping etc work structural change action al ion irradiation investigated polymorphic gallium oxide layer grown hydride vapor phase epitaxy plane sapphire consisting predominantly alpha phase inclusion alphakappa phase established ray diffraction technique inclusion alphakappa phase irradiated layer undergo expansion along normal substrate surface noticeable deformation alpha phase speaks favor different radiation tolerance various gao polymorph especially higher radiation tolerance alpha phase fact taken account utilizing ion implantation modify gallium oxide property term development efficient doping strategy | 2 | 152,239 | [
101,
10163,
7504,
14080,
18804,
9153,
3468,
26033,
5007,
15772,
26572,
5302,
14536,
2232,
26033,
5007,
15772,
2522,
15532,
8566,
2213,
3252,
6541,
17377,
3728,
6296,
2307,
3086,
3193,
4816,
26383,
2594,
4646,
2349,
4310,
3200,
2164,
2898,
2316,
6578,
17003,
6540,
8247,
4403,
8247,
17377,
2174,
2896,
9829,
9211,
6541,
4403,
17093,
4650,
7831,
8247,
4403,
5942,
6176,
4812,
5012,
6327,
3747,
10163,
20868,
12173,
18963,
10163,
23799,
4385,
2147,
8332,
2689,
2895,
2632,
10163,
20868,
12173,
18963,
10847,
26572,
18078,
26033,
5007,
15772,
6741,
4961,
1044,
25688,
15637,
20064,
4403,
4958,
6590,
18037,
4946,
21965,
5398,
9197,
6541,
4403,
10502,
6541,
2912,
13944,
4403,
2511,
4097,
4487,
4246,
25533,
6028,
10502,
6541,
2912,
13944,
4403,
20868,
12173,
15070,
6741,
13595,
4935,
2247,
3671,
16305,
3302,
17725,
29130,
6541,
4403,
8847,
5684,
2367,
8249,
13986,
2536,
17377,
26572,
5302,
14536,
2232,
2926,
3020,
8249,
13986,
6541,
4403,
2755,
2579,
4070,
16911,
10163,
27159,
3370,
19933,
26033,
5007,
15772,
3200,
2744,
2458,
8114,
23799,
5656,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2006.1182 | phase integral perspective alpha decay paper applies phase integral method stationary theory alpha decay rigorous form connection formula one directional nature widely known physical literature applied condition obtaining wave metastable state affect stationary state large distance nucleus dominated cosine phase integral minus pi accurate prediction lowest wave metastable state mean life radioactive nucleus obtained case uranium final part paper describes phase integral algorithm evaluating stationary state mean suitable choice freely specifiable base function within framework original approximate formula phase integrand arbitrary value angular momentum quantum number obtained | 9 | 177,868 | [
101,
4403,
9897,
7339,
6541,
13121,
3259,
12033,
4403,
9897,
4118,
17337,
3399,
6541,
13121,
20001,
2433,
4434,
5675,
2028,
20396,
3267,
4235,
2124,
3558,
3906,
4162,
4650,
11381,
4400,
18804,
9153,
3468,
2110,
7461,
17337,
2110,
2312,
3292,
13502,
6817,
2522,
11493,
2063,
4403,
9897,
15718,
14255,
8321,
17547,
7290,
4400,
18804,
9153,
3468,
2110,
2812,
2166,
17669,
13502,
4663,
2553,
14247,
2345,
2112,
3259,
5577,
4403,
9897,
9896,
23208,
17337,
2110,
2812,
7218,
3601,
10350,
28699,
10128,
19210,
2918,
3853,
2306,
7705,
2434,
15796,
5675,
4403,
20014,
13910,
13033,
15275,
3643,
16108,
11071,
8559,
2193,
4663,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2105.04705 | crowding break forwardbackward symmetry transition time biased random walk microscopic mechanism natural process frequently understood term random walk model analyzing local particle transition model properly account dynamic process molecular level provide clear physical picture recent theoretical study made surprising discovery complex system symmetry molecular forwardbackward transition time respect local bias dynamic may broken may take longer go downhill uphill physical origin phenomenon remain fully understood explore detail microscopic feature symmetry breaking forwardbackward transition time analyzing exactly solvable discrete state stochastic model particular consider specific case two random walker four site periodic lattice way represent general system multiple pathway found asymmetry transition time depends several factor include degree deviation equilibrium particle crowding method measurement dynamic property theoretical analysis suggests asymmetry transition time explored experimentally determining important microscopic feature natural process quantitative measuring local deviation equilibrium degree crowding | 4 | 125,121 | [
101,
4306,
2075,
3338,
2830,
5963,
7652,
14991,
6653,
2051,
25352,
6721,
3328,
26396,
7337,
3019,
2832,
4703,
5319,
2744,
6721,
3328,
2944,
20253,
2334,
10811,
6653,
2944,
7919,
4070,
8790,
2832,
8382,
2504,
3073,
3154,
3558,
3861,
3522,
9373,
2817,
2081,
11341,
5456,
3375,
2291,
14991,
8382,
2830,
5963,
7652,
6653,
2051,
4847,
2334,
13827,
8790,
2089,
3714,
2089,
2202,
2936,
2175,
19448,
2039,
7100,
3558,
4761,
9575,
3961,
3929,
5319,
8849,
6987,
26396,
3444,
14991,
4911,
2830,
5963,
7652,
6653,
2051,
20253,
3599,
14017,
12423,
16246,
2110,
2358,
11663,
20875,
2944,
3327,
5136,
3563,
2553,
2048,
6721,
5232,
2176,
2609,
15861,
17779,
2126,
5050,
2236,
2291,
3674,
12732,
2179,
2004,
24335,
24327,
6653,
2051,
9041,
2195,
5387,
2421,
3014,
24353,
14442,
10811,
4306,
2075,
4118,
10903,
8790,
3200,
9373,
4106,
6083,
2004,
24335,
24327,
6653,
2051,
10641,
6388,
2135,
12515,
2590,
26396,
3444,
3019,
2832,
20155,
9854,
2334,
24353,
14442,
3014,
4306,
2075,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1908.03125 | geometrical structure thermal conductivity dust aggregate formed via ballistic cluster cluster aggregation herein report theoretical study geometrical structure porous dust aggregate formed via ballistic cluster cluster aggregation bcca calculated gyration radius graph based geodesic radius function number constituent particle found radius constituent particle furthermore defined two constant characterize geometrical structure fractal aggregate definition respectively study revealed cluster bcca addition also studied filling factor dependence thermal conductivity statically compressed fractal aggregate study reveal thermal conductivity statically compressed aggregate given material thermal conductivity contact radius constituent particle filling factor dust aggregate | 4 | 14,110 | [
101,
14965,
2389,
3252,
9829,
6204,
7730,
6497,
9572,
2719,
3081,
19630,
9324,
9324,
28041,
2182,
2378,
3189,
9373,
2817,
14965,
2389,
3252,
18499,
3560,
6497,
9572,
2719,
3081,
19630,
9324,
9324,
28041,
4647,
3540,
10174,
1043,
19563,
3508,
12177,
10629,
2241,
20248,
6155,
2594,
12177,
3853,
2193,
13794,
10811,
2179,
12177,
13794,
10811,
7297,
4225,
2048,
5377,
2839,
4697,
14965,
2389,
3252,
25312,
25572,
2140,
9572,
6210,
4414,
2817,
3936,
9324,
4647,
3540,
2804,
2036,
3273,
8110,
5387,
18642,
9829,
6204,
7730,
10763,
3973,
16620,
25312,
25572,
2140,
9572,
2817,
7487,
9829,
6204,
7730,
10763,
3973,
16620,
9572,
2445,
3430,
9829,
6204,
7730,
3967,
12177,
13794,
10811,
8110,
5387,
6497,
9572,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1901.0249 | choosing right word using bidirectional lstm tagger writing support system scientific writing difficult even harder english second language esl learner scholar around world spend significant amount time resource proofreading work submitting review publication paper present novel machine learning based application proper word choice task proper word choice generalization lexical substitution l grammatical error correction gec task demonstrate evaluate usefulness applying bidirectional long short term memory lstm tagger task state art grammatical error correction us error specific classifier machine translation method demonstrate unsupervised method based solely high quality text corpus require manually annotated data use bidirectional recurrent neural network rnn lstm learning proper word choice based word sentential context demonstrate evaluate application domain specific scientific writing task general purpose writing task show domain specific general purpose model outperform state art general context learning additional contribution research also share code pre trained model new esl learner test set research community | 0 | 252,549 | [
101,
10549,
2157,
2773,
2478,
7226,
7442,
7542,
2389,
1048,
3367,
2213,
6415,
4590,
3015,
2490,
2291,
4045,
3015,
3697,
2130,
6211,
2394,
2117,
2653,
9686,
2140,
4553,
2121,
6288,
2105,
2088,
5247,
3278,
3815,
2051,
7692,
6947,
16416,
4667,
2147,
12040,
3436,
3319,
4772,
3259,
2556,
3117,
3698,
4083,
2241,
4646,
5372,
2773,
3601,
4708,
5372,
2773,
3601,
2236,
3989,
16105,
9289,
20885,
1048,
24402,
7561,
18140,
16216,
2278,
4708,
10580,
16157,
6179,
2791,
11243,
7226,
7442,
7542,
2389,
2146,
2460,
2744,
3638,
1048,
3367,
2213,
6415,
4590,
4708,
2110,
2396,
24402,
7561,
18140,
2149,
7561,
3563,
2465,
18095,
3698,
5449,
4118,
10580,
4895,
6342,
4842,
11365,
2098,
4118,
2241,
9578,
2152,
3737,
3793,
13931,
5478,
21118,
5754,
17287,
3064,
2951,
2224,
7226,
7442,
7542,
2389,
28667,
29264,
15756,
2897,
29300,
2078,
1048,
3367,
2213,
4083,
5372,
2773,
3601,
2241,
2773,
2741,
24271,
6123,
10580,
16157,
4646,
5884,
3563,
4045,
3015,
4708,
2236,
3800,
3015,
4708,
2265,
5884,
3563,
2236,
3800,
2944,
2041,
4842,
14192,
2110,
2396,
2236,
6123,
4083,
3176,
6691,
2470,
2036,
3745,
3642,
3653,
4738,
2944,
2047,
9686,
2140,
4553,
2121,
3231,
2275,
2470,
2451,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2107.06052 | semiclassical effect color flavor locked strange star strange star color flavor locked phase described generalization phenomenological mit bag model proposed context color superconductivity studied model motivated semiclassical solution hydrostatic equilibrium result show within framework possible find ultracompact configuration situated regular compact star black hole | 7 | 331,042 | [
101,
4100,
26266,
7476,
3466,
3609,
14894,
5299,
4326,
2732,
4326,
2732,
3609,
14894,
5299,
4403,
2649,
2236,
3989,
6887,
16515,
3549,
10091,
10210,
4524,
2944,
3818,
6123,
3609,
3565,
8663,
8566,
6593,
7730,
3273,
2944,
12774,
4100,
26266,
7476,
5576,
18479,
16677,
14442,
2765,
2265,
2306,
7705,
2825,
2424,
11087,
9006,
19498,
2102,
9563,
4350,
3180,
9233,
2732,
2304,
4920,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1902.00815 | number language maximum state complexity champarnaud pin found minimal deterministic automaton language sumin mini state exists attaining bound campeanu ho shown generally tight upper bound cardinality complete automaton frackr sumjn rkj result requiring totality transition function add state count campeanu ho result viewed concerning function set cardinality generalize result arbitrary function positive integer let number function onto campeanu ho stated difficult determine number maximum complexity language show equal least monotone language tightness result seems harder obtain however show following upper bound attained sumin mini mn th dedekind number | 1 | 157,110 | [
101,
2193,
2653,
4555,
2110,
11619,
24782,
2906,
26160,
9231,
2179,
10124,
28283,
25300,
10074,
8285,
18900,
2239,
2653,
7680,
2378,
7163,
2110,
6526,
26615,
5391,
3409,
11219,
2226,
7570,
3491,
3227,
4389,
3356,
5391,
7185,
3012,
3143,
8285,
18900,
2239,
25312,
3600,
2099,
7680,
22895,
1054,
2243,
3501,
2765,
9034,
2561,
3012,
6653,
3853,
5587,
2110,
4175,
3409,
11219,
2226,
7570,
2765,
7021,
7175,
3853,
2275,
7185,
3012,
2236,
4697,
2765,
15275,
3853,
3893,
16109,
2292,
2193,
3853,
3031,
3409,
11219,
2226,
7570,
3090,
3697,
5646,
2193,
4555,
11619,
2653,
2265,
5020,
2560,
18847,
5524,
2653,
4389,
2791,
2765,
3849,
6211,
6855,
2174,
2265,
2206,
3356,
5391,
12754,
7680,
2378,
7163,
24098,
16215,
2139,
24463,
22254,
2193,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2104.00524 | theme parity valuation integer number zeta function five related function paper considers problem valuation integer number zeta function five function naturally associated relatively elementary approach exposed closely connects still partially open problem five theme parity notion parity function parity degree polynomial related distinction parity concerning natural argument six considered function well integer number inverse power summed adopted method essentially aim enabling student mathematics entry problem | 1 | 377,200 | [
101,
4323,
11968,
3012,
26004,
16109,
2193,
23870,
3853,
2274,
3141,
3853,
3259,
10592,
3291,
26004,
16109,
2193,
23870,
3853,
2274,
3853,
8100,
3378,
4659,
4732,
3921,
6086,
4876,
8539,
2145,
6822,
2330,
3291,
2274,
4323,
11968,
3012,
9366,
11968,
3012,
3853,
11968,
3012,
3014,
17505,
3141,
7835,
11968,
3012,
7175,
3019,
6685,
2416,
2641,
3853,
2092,
16109,
2193,
19262,
2373,
7680,
7583,
4233,
4118,
7687,
6614,
12067,
3076,
5597,
4443,
3291,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1910.0878 | reverse experience replay paper describes improvement deep learning called reverse experience replay also rer solves problem sparse reward help deal reward maximizing task sampling transition successively reverse order task enough experience training enough experience replay memory capacity deep learning network reverse experience replay show competitive result double dqn standard experience replay vanilla dqn also rer achieves significantly increased result task lack experience replay memory capacity | 0 | 657,722 | [
101,
7901,
3325,
15712,
3259,
5577,
7620,
2784,
4083,
2170,
7901,
3325,
15712,
2036,
2128,
2099,
9611,
2015,
3291,
20288,
10377,
2393,
3066,
10377,
20446,
6026,
4708,
16227,
6653,
24288,
7901,
2344,
4708,
2438,
3325,
2731,
2438,
3325,
15712,
3638,
3977,
2784,
4083,
2897,
7901,
3325,
15712,
2265,
6975,
2765,
3313,
25410,
2078,
3115,
3325,
15712,
21161,
25410,
2078,
2036,
2128,
2099,
6162,
2015,
6022,
3445,
2765,
4708,
3768,
3325,
15712,
3638,
3977,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1906.12311 | suppression elliptic flow without viscosity investigate fluid particle conversion using usual cooper frye approach general local equilibrium distribution boltzmann bosefermi distribution typically used even though study ideal fluid ie shear stress bulk pressure zero everywhere find suppression elliptic flow high transverse momentum pt gevc relative result obtained traditional boltzmann distribution non viscous suppression show qualitatively similar feature well known shear viscous suppression example increase pt smaller heavier specie seen self consistent kinetic theory calculation result question whether suppression seen data attributed viscous effect indicate shear viscosity extracted rhic lhc elliptic flow data might overestimated | 16 | 330,009 | [
101,
16341,
29413,
4834,
2302,
25292,
13186,
3012,
8556,
8331,
10811,
7584,
2478,
5156,
6201,
14744,
2063,
3921,
2236,
2334,
14442,
4353,
10053,
24340,
2078,
21299,
7512,
4328,
4353,
4050,
2109,
2130,
2295,
2817,
7812,
8331,
29464,
18330,
6911,
9625,
3778,
5717,
7249,
2424,
16341,
29413,
4834,
2152,
18323,
11071,
13866,
16216,
25465,
5816,
2765,
4663,
3151,
10053,
24340,
2078,
4353,
2512,
25292,
27199,
16341,
2265,
24209,
11475,
27453,
2135,
2714,
3444,
2092,
2124,
18330,
25292,
27199,
16341,
2742,
3623,
13866,
3760,
11907,
28699,
2666,
2464,
2969,
8335,
20504,
3399,
17208,
2765,
3160,
3251,
16341,
2464,
2951,
7108,
25292,
27199,
3466,
5769,
18330,
25292,
13186,
3012,
15901,
1054,
16066,
1048,
16257,
29413,
4834,
2951,
2453,
2058,
4355,
20592,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2004.01571 | tramp compositional inference tree approximate message passing introduce tramp standing tree approximate message passing python package compositional inference high dimensional tree structured model package provides unifying framework study several approximate message passing algorithm previously derived variety machine learning task generalized linear model inference multi layer network matrix factorization reconstruction using non separable penalty model asymptotic performance algorithm theoretically predicted state evolution measurement entropy estimated free entropy formalism implementation modular design module implement factor composed module solve complex inference task user need declare factor graph model inference algorithm state evolution entropy estimation fully automated | 6 | 281,339 | [
101,
12517,
2361,
5512,
2389,
28937,
3392,
15796,
4471,
4458,
8970,
12517,
2361,
3061,
3392,
15796,
4471,
4458,
18750,
7427,
5512,
2389,
28937,
2152,
8789,
3392,
14336,
2944,
7427,
3640,
4895,
11787,
7705,
2817,
2195,
15796,
4471,
4458,
9896,
3130,
5173,
3528,
3698,
4083,
4708,
18960,
7399,
2944,
28937,
4800,
6741,
2897,
8185,
5387,
3989,
8735,
2478,
2512,
19802,
25236,
6531,
2944,
2004,
24335,
13876,
20214,
2836,
9896,
22634,
10173,
2110,
6622,
10903,
23077,
4358,
2489,
23077,
5337,
2964,
7375,
19160,
2640,
11336,
10408,
5387,
3605,
11336,
9611,
3375,
28937,
4708,
5310,
2342,
13520,
5387,
10629,
2944,
28937,
9896,
2110,
6622,
23077,
24155,
3929,
12978,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1712.05866 | fermionic halo finite temperature adscft explore gravitational backreaction system consisting large number elementary fermion finite temperature asymptotically ad space work hydrodynamic approximation solve tolman oppenheimer volkoff equation perfect fluid whose equation state take account relativistic effect fermionic constituent well finite temperature effect find novel dense core diluted halo structure density profile ad bulk similarly recently reported flat space case astrophysical dark matter halo galaxy study critical equilibrium configuration core undergoes gravitational collapse towards massive black hole calculate corresponding critical central temperature two qualitatively different central regime fermion diluted fermi case degenerate case probe dual cft construct holographic two point correlator scalar operator large conformal dimension worldline limit briefly discus boundary cft effect critical point | 9 | 290,061 | [
101,
10768,
28550,
12356,
17201,
10713,
4860,
14997,
2278,
6199,
8849,
19790,
2067,
16416,
7542,
2291,
5398,
2312,
2193,
4732,
10768,
28550,
2239,
10713,
4860,
2004,
24335,
13876,
20214,
3973,
4748,
2686,
2147,
18479,
5149,
28987,
2278,
20167,
9611,
2000,
12624,
6728,
11837,
18826,
5285,
26126,
8522,
3819,
8331,
3005,
8522,
2110,
2202,
4070,
2128,
20051,
21997,
2594,
3466,
10768,
28550,
12356,
13794,
2092,
10713,
4860,
3466,
2424,
3117,
9742,
4563,
29454,
12926,
17201,
3252,
4304,
6337,
4748,
9625,
6660,
3728,
2988,
4257,
2686,
2553,
28625,
23302,
2601,
3043,
17201,
9088,
2817,
4187,
14442,
9563,
4563,
29129,
19790,
7859,
2875,
5294,
2304,
4920,
18422,
7978,
4187,
2430,
4860,
2048,
24209,
11475,
27453,
2135,
2367,
2430,
6939,
10768,
28550,
2239,
29454,
12926,
10768,
28550,
2553,
2139,
6914,
22139,
2553,
15113,
7037,
12935,
2102,
9570,
7570,
21197,
20721,
2048,
2391,
2522,
14343,
20051,
2953,
26743,
2099,
6872,
2312,
23758,
2389,
9812,
2088,
4179,
5787,
4780,
26047,
6192,
12935,
2102,
3466,
4187,
2391,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1905.1093 | sequential graph dependency parser propose method non projective dependency parsing incrementally predicting set edge since edge pre specified order propose set based learning method method blend graph transition easy first parsing including prior state parser special case proposed transition based method successfully par near state art projective non projective language without assuming certain parsing order | 6 | 738,910 | [
101,
25582,
10629,
24394,
11968,
8043,
16599,
4118,
2512,
27473,
24394,
11968,
7741,
4297,
28578,
21050,
2135,
29458,
2275,
3341,
2144,
3341,
3653,
9675,
2344,
16599,
2275,
2241,
4083,
4118,
4118,
12586,
10629,
6653,
3733,
2034,
11968,
7741,
2164,
3188,
2110,
11968,
8043,
2569,
2553,
3818,
6653,
2241,
4118,
5147,
11968,
2379,
2110,
2396,
27473,
2512,
27473,
2653,
2302,
10262,
3056,
11968,
7741,
2344,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2102.09529 | fuzzy clustering algorithm distance metric learning entropy regularization clustering method used variety field image processing data mining pattern recognition statistical analysis generally clustering algorithm consider variable equally relevant correlated clustering task nevertheless real situation variable correlated may le relevant even irrelevant task paper proposes partitioning fuzzy clustering algorithm based euclidean city block mahalanobis distance entropy regularization method iterative three step algorithm provide fuzzy partition representative fuzzy cluster relevance weight variable correlation minimizing suitable objective function several experiment synthetic real datasets including application noisy image texture segmentation demonstrate usefulness adaptive clustering method | 0 | 578,182 | [
101,
18001,
9324,
2075,
9896,
3292,
12046,
4083,
23077,
3180,
3989,
9324,
2075,
4118,
2109,
3528,
2492,
3746,
6364,
2951,
5471,
5418,
5038,
7778,
4106,
3227,
9324,
2075,
9896,
5136,
8023,
8053,
7882,
23900,
9324,
2075,
4708,
6600,
2613,
3663,
8023,
23900,
2089,
3393,
7882,
2130,
22537,
4708,
3259,
17146,
13571,
2075,
18001,
9324,
2075,
9896,
2241,
25826,
2103,
3796,
27913,
6761,
18477,
3292,
23077,
3180,
3989,
4118,
2009,
25284,
2093,
3357,
9896,
3073,
18001,
13571,
4387,
18001,
9324,
21923,
3635,
8023,
16902,
7163,
4328,
6774,
7218,
7863,
3853,
2195,
7551,
12553,
2613,
2951,
13462,
2015,
2164,
4646,
20810,
3746,
14902,
6903,
3370,
10580,
6179,
2791,
19293,
9324,
2075,
4118,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2106.05791 | duffin kemmer petiau particle presence spiral dislocation study investigated influence topological defect space time spiral dislocation spin zero boson field using duffin kemmer petiau dkp equation specific solved generalized spin zero dkp equation presence spiral dislocation exactly derived wave function corresponding energy eigenvalue two case absence presence static potential using analytical method numerically demonstrated effect spiral dislocation solution | 9 | 699,695 | [
101,
21019,
2378,
17710,
15810,
9004,
2401,
2226,
10811,
3739,
12313,
4487,
14540,
23909,
2817,
10847,
3747,
24309,
21262,
2686,
2051,
12313,
4487,
14540,
23909,
6714,
5717,
8945,
3385,
2492,
2478,
21019,
2378,
17710,
15810,
9004,
2401,
2226,
1040,
2243,
2361,
8522,
3563,
13332,
18960,
6714,
5717,
1040,
2243,
2361,
8522,
3739,
12313,
4487,
14540,
23909,
3599,
5173,
4400,
3853,
7978,
2943,
1041,
29206,
10175,
5657,
2048,
2553,
6438,
3739,
10763,
4022,
2478,
17826,
4118,
15973,
2135,
7645,
3466,
12313,
4487,
14540,
23909,
5576,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1906.11572 | weyl inflation emergent planck scale study inflation weyl gravity original weyl quadratic gravity based weyl conformal geometry theory invariant weyl symmetry gauged local scale transformation theory planck scale emerges scale symmetry broken spontaneously geometric stueckelberg mechanism einstein proca action weyl photon mass near action low energy broken phase weyl gravity century old criticism latter due non metricity avoided context inflation field value natural since phase transition scale weyl gravity geometry einstein gravity riemannian geometry massive weyl photon decouples show inflation weyl gravity coupled scalar field result close starobinsky model recovered vanishing non minimal coupling mildly smaller tensor scalar ratio weyl gravity predicts specific narrow range spectral index within experimental bound cl fold number range value soon reached cmb experiment provides test weyl gravity unlike starobinsky model prediction affected unknown higher dimensional curvature operator suppressed large mass scale since forbidden weyl gauge symmetry | 7 | 505,595 | [
101,
2057,
8516,
14200,
12636,
3372,
26486,
4094,
2817,
14200,
2057,
8516,
8992,
2434,
2057,
8516,
17718,
23671,
8992,
2241,
2057,
8516,
23758,
2389,
10988,
3399,
23915,
2057,
8516,
14991,
7633,
2094,
2334,
4094,
8651,
3399,
26486,
4094,
19391,
4094,
14991,
3714,
27491,
14965,
24646,
11012,
2884,
4059,
7337,
15313,
4013,
3540,
2895,
2057,
8516,
26383,
3742,
2379,
2895,
2659,
2943,
3714,
4403,
2057,
8516,
8992,
2301,
2214,
6256,
3732,
2349,
2512,
12046,
3012,
9511,
6123,
14200,
2492,
3643,
3019,
2144,
4403,
6653,
4094,
2057,
8516,
8992,
10988,
15313,
8992,
15544,
17545,
2937,
10988,
5294,
2057,
8516,
26383,
21933,
6279,
4244,
2265,
14200,
2057,
8516,
8992,
11211,
26743,
2099,
2492,
2765,
2485,
2732,
16429,
20894,
2944,
6757,
24866,
2512,
10124,
19780,
19499,
3760,
23435,
26743,
2099,
6463,
2057,
8516,
8992,
16014,
2015,
3563,
4867,
2846,
17435,
5950,
2306,
6388,
5391,
18856,
10671,
2193,
2846,
3643,
2574,
2584,
4642,
2497,
7551,
3640,
3231,
2057,
8516,
8992,
4406,
2732,
16429,
20894,
2944,
17547,
5360,
4242,
3020,
8789,
25045,
6872,
13712,
2312,
3742,
4094,
2144,
10386,
2057,
8516,
7633,
14991,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1809.01008 | robust incompressible navier stokes solver high density ratio multiphase flow paper present robust adaptive numerical scheme simulating high density ratio high shear multiphase flow locally refined cartesian grid adapt evolving interface track region high vorticity algorithm combine interface capturing level set method variable coefficient incompressible navier stokes solver demonstrated stably resolve material contrast ratio six order magnitude discretization approach ensures second order pointwise accuracy velocity pressure several physical boundary treatment including velocity traction boundary condition paper includes several test case demonstrate order accuracy algorithmic scalability flow solver ensure stability numerical scheme presence high density viscosity ratio employ consistent treatment mass momentum transport conservative form discrete equation consistency achieved solving additional mass balance equation approximate via strong stability preserving runga kutta time integrator employing mass flux obtained mass equation discrete momentum equation scheme us higher order total variation diminishing tvd convection boundedness criterion cbc satisfying limiter avoid numerical fluctuation transported density field high order bounded convective transport done dimension dimension basis make scheme simple implement also demonstrate several test case lack consistent mass momentum transport non conservative formulation commonly used practice use non cbc satisfying limiter yield large numerical error poor accuracy convection dominant high density ratio flow | 0 | 811,884 | [
101,
15873,
4297,
25377,
8303,
7028,
6583,
14356,
18716,
9611,
2099,
2152,
4304,
6463,
4800,
21890,
3366,
4834,
3259,
2556,
15873,
19293,
15973,
5679,
21934,
10924,
2152,
4304,
6463,
2152,
18330,
4800,
21890,
3366,
4834,
7246,
15514,
11122,
25253,
8370,
15581,
20607,
8278,
2650,
2555,
2152,
29536,
28228,
12972,
9896,
11506,
8278,
11847,
2504,
2275,
4118,
8023,
19064,
4297,
25377,
8303,
7028,
6583,
14356,
18716,
9611,
2099,
7645,
17079,
2135,
10663,
3430,
5688,
6463,
2416,
2344,
10194,
5860,
13465,
3989,
3921,
21312,
2117,
2344,
2391,
14244,
10640,
10146,
3778,
2195,
3558,
6192,
3949,
2164,
10146,
16493,
6192,
4650,
3259,
2950,
2195,
3231,
2553,
10580,
2344,
10640,
9896,
2594,
26743,
8553,
4834,
9611,
2099,
5676,
9211,
15973,
5679,
3739,
2152,
4304,
25292,
13186,
3012,
6463,
12666,
8335,
3949,
3742,
11071,
3665,
4603,
2433,
16246,
8522,
18700,
4719,
13729,
3176,
3742,
5703,
8522,
15796,
3081,
2844,
9211,
15224,
2448,
3654,
13970,
5946,
2051,
20014,
13910,
16259,
15440,
3742,
19251,
4663,
3742,
8522,
16246,
11071,
8522,
5679,
2149,
3020,
2344,
2561,
8386,
11737,
5498,
12227,
2694,
2094,
23849,
10351,
2791,
19229,
13581,
17087,
5787,
2121,
4468,
15973,
19857,
6593,
14505,
9687,
4304,
2492,
2152,
2344,
10351,
9530,
3726,
15277,
3665,
2589,
9812,
9812,
3978,
2191,
5679,
3722,
10408,
2036,
10580,
2195,
3231,
2553,
3768,
8335,
3742,
11071,
3665,
2512,
4603,
20219,
4141,
2109,
3218,
2224,
2512,
13581,
17087,
5787,
2121,
10750,
2312,
15973,
7561,
3532,
10640,
23849,
7444,
2152,
4304,
6463,
4834,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2007.04672 | metric gravitational collapse dust around schwarzschild black hole consider problem gravitational collapse fluid effect schwarzschild black hole eg primordial one suddenly form inside fluid assume fluid initially uniform dust starting configuration obtain class metric assumption find metric obtain includes dust collapse subcase discussing basic property solution discus case dust collapse detail find radial tangential pressure outside horizon may take positive negative value depending value parameter | 11 | 220,145 | [
101,
12046,
19790,
7859,
6497,
2105,
29058,
11624,
4014,
2094,
2304,
4920,
5136,
3291,
19790,
7859,
8331,
3466,
29058,
11624,
4014,
2094,
2304,
4920,
1041,
2290,
26927,
5302,
25070,
2028,
3402,
2433,
2503,
8331,
7868,
8331,
3322,
6375,
6497,
3225,
9563,
6855,
2465,
12046,
11213,
2424,
12046,
6855,
2950,
6497,
7859,
4942,
18382,
10537,
3937,
3200,
5576,
26047,
2553,
6497,
7859,
6987,
2424,
15255,
27250,
4818,
3778,
2648,
9154,
2089,
2202,
3893,
4997,
3643,
5834,
3643,
16381,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2106.08164 | task allocation coordinated motion planning autonomous multi robot optical inspection system autonomous multi robot optical inspection system increasingly applied obtaining inline measurement process monitoring quality control numerous method path planning robotic coordination developed static dynamic environment applied different field however approach may work autonomous multi robot optical inspection system due fast computation requirement inline optimization unique characteristic robotic end effector orientation complex large scale free form product surface paper proposes novel task allocation methodology coordinated motion planning multi robot inspection specifically local robust inspection task allocation proposed achieve efficient well balanced measurement assignment among robot collision free path planning coordinated motion planning developed via dynamic searching robotic coordinate space perturbation probe pose local path conflicting robot case study show proposed approach mitigate risk collision robot environment resolve conflict among robot reduce inspection cycle time significantly consistently | 0 | 5,677 | [
101,
4708,
16169,
14206,
4367,
4041,
8392,
4800,
8957,
9380,
10569,
2291,
8392,
4800,
8957,
9380,
10569,
2291,
6233,
4162,
11381,
23881,
10903,
2832,
8822,
3737,
2491,
3365,
4118,
4130,
4041,
20478,
12016,
2764,
10763,
8790,
4044,
4162,
2367,
2492,
2174,
3921,
2089,
2147,
8392,
4800,
8957,
9380,
10569,
2291,
2349,
3435,
22334,
9095,
23881,
20600,
4310,
8281,
20478,
2203,
3466,
2953,
10296,
3375,
2312,
4094,
2489,
2433,
4031,
3302,
3259,
17146,
3117,
4708,
16169,
16134,
14206,
4367,
4041,
4800,
8957,
10569,
4919,
2334,
15873,
10569,
4708,
16169,
3818,
6162,
8114,
2092,
12042,
10903,
8775,
2426,
8957,
12365,
2489,
4130,
4041,
14206,
4367,
4041,
2764,
3081,
8790,
6575,
20478,
13530,
2686,
2566,
20689,
23757,
15113,
13382,
2334,
4130,
19326,
8957,
2553,
2817,
2265,
3818,
3921,
10210,
28731,
3891,
12365,
8957,
4044,
10663,
4736,
2426,
8957,
5547,
10569,
5402,
2051,
6022,
10862,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1904.08499 | co regularized multi view sparse reconstruction embedding dimension reduction development information technology witnessed age data explosion produce large variety data filled redundant information dimension reduction essential tool embeds high dimensional data lower dimensional subspace avoid redundant information attracted interest researcher world however facing feature multiple view difficult dimension reduction method fully comprehended multi view feature integrate compatible complementary information feature construct low dimensional subspace directly furthermore multi view dimension reduction method cannot handle feature nonlinear space high dimension therefore construct multi view dimension reduction method deal multi view feature high dimensional nonlinear space vital importance challenging order address problem proposed novel method named co regularized multi view sparse reconstruction embedding cmsre paper exploiting correlation sparse reconstruction multiple view cmsre able learn local sparse structure nonlinear manifold multiple view construct significative low dimensional representation due proposed co regularized scheme correlation sparse reconstruction multiple view preserved cmsre much possible furthermore sparse representation produce meaningful correlation feature single view help cmsre gain better performance various evaluation based application document classification face recognition image retrieval demonstrate effectiveness proposed approach multi view dimension reduction | 0 | 454,126 | [
101,
2522,
3180,
3550,
4800,
3193,
20288,
8735,
7861,
8270,
4667,
9812,
7312,
2458,
2592,
2974,
9741,
2287,
2951,
7738,
3965,
2312,
3528,
2951,
3561,
21707,
2592,
9812,
7312,
6827,
6994,
7861,
8270,
2015,
2152,
8789,
2951,
2896,
8789,
24807,
10732,
4468,
21707,
2592,
6296,
3037,
10753,
2088,
2174,
5307,
3444,
3674,
3193,
3697,
9812,
7312,
4118,
3929,
22346,
2098,
4800,
3193,
3444,
17409,
11892,
21053,
2592,
3444,
9570,
2659,
8789,
24807,
10732,
3495,
7297,
4800,
3193,
9812,
7312,
4118,
3685,
5047,
3444,
27400,
2686,
2152,
9812,
3568,
9570,
4800,
3193,
9812,
7312,
4118,
3066,
4800,
3193,
3444,
2152,
8789,
27400,
2686,
8995,
5197,
10368,
2344,
4769,
3291,
3818,
3117,
4118,
2315,
2522,
3180,
3550,
4800,
3193,
20288,
8735,
7861,
8270,
4667,
4642,
21338,
2063,
3259,
18077,
2075,
16902,
20288,
8735,
3674,
3193,
4642,
21338,
2063,
2583,
4553,
2334,
20288,
3252,
27400,
19726,
3674,
3193,
9570,
3696,
18513,
8082,
2659,
8789,
6630,
2349,
3818,
2522,
3180,
3550,
5679,
16902,
20288,
8735,
3674,
3193,
6560,
4642,
21338,
2063,
2172,
2825,
7297,
20288,
6630,
3965,
15902,
16902,
3444,
2309,
3193,
2393,
4642,
21338,
2063,
5114,
2488,
2836,
2536,
9312,
2241,
4646,
6254,
5579,
2227,
5038,
3746,
26384,
10580,
12353,
3818,
3921,
4800,
3193,
9812,
7312,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1910.06826 | statically detecting vulnerability processing programming language natural language web application continue favorite target hacker due combination wide adoption rapid deployment cycle often lead introduction high impact vulnerability static analysis tool important search bug automatically program source code supporting developer removal however building tool requires programming knowledge discover vulnerability paper present alternative approach tool learn detect flaw automatically resorting artificial intelligence concept concretely natural language processing approach employ sequence model learn characterize vulnerability based annotated corpus afterwards model utilized discover identify vulnerability source code implemented dekant tool evaluated experimentally large set php application wordpress plugins overall found several hundred vulnerability belonging class input validation vulnerability zero day | 0 | 608,209 | [
101,
10763,
3973,
25952,
18130,
6364,
4730,
2653,
3019,
2653,
4773,
4646,
3613,
5440,
4539,
23307,
2349,
5257,
2898,
9886,
5915,
10813,
5402,
2411,
2599,
4955,
2152,
4254,
18130,
10763,
4106,
6994,
2590,
3945,
11829,
8073,
2565,
3120,
3642,
4637,
9722,
8208,
2174,
2311,
6994,
5942,
4730,
3716,
7523,
18130,
3259,
2556,
4522,
3921,
6994,
4553,
11487,
28450,
8073,
7001,
2075,
7976,
4454,
4145,
5509,
2135,
3019,
2653,
6364,
3921,
12666,
5537,
2944,
4553,
2839,
4697,
18130,
2241,
5754,
17287,
3064,
13931,
5728,
2944,
12550,
7523,
6709,
18130,
3120,
3642,
7528,
2139,
9126,
2102,
6994,
16330,
6388,
2135,
2312,
2275,
25718,
4646,
2773,
20110,
13354,
7076,
3452,
2179,
2195,
3634,
18130,
7495,
2465,
7953,
27354,
18130,
5717,
2154,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1808.07373 | multi array vv relative positioning performance bound study performance bound vehicle vehicle vv relative positioning vehicle multiple antenna array cramer rao bound estimation relative position orientation tx vehicle derived angle arrival aoa measurement without time difference arrival tdoa measurement used addition geometrically intuitive expression corresponding fisher information provided derived bound numerically evaluated different carrier frequency bandwidth array configuration different vv scenario ie overtaking platooning significance aoa tdoa measurement position estimation investigated achievable positioning accuracy compared present requirement rd generation partnership project gpp new radio nr vehicle everything vx standardization | 1 | 794,476 | [
101,
4800,
9140,
1058,
2615,
5816,
19120,
2836,
5391,
2817,
2836,
5391,
4316,
4316,
1058,
2615,
5816,
19120,
4316,
3674,
13438,
9140,
29433,
10546,
5391,
24155,
5816,
2597,
10296,
19067,
4316,
5173,
6466,
5508,
20118,
2050,
10903,
2302,
2051,
4489,
5508,
14595,
10441,
10903,
2109,
2804,
14965,
3973,
29202,
3670,
7978,
8731,
2592,
3024,
5173,
5391,
15973,
2135,
16330,
2367,
6839,
6075,
20235,
9140,
9563,
2367,
1058,
2615,
11967,
29464,
2058,
17904,
13799,
2075,
7784,
20118,
2050,
14595,
10441,
10903,
2597,
24155,
10847,
9353,
4048,
13331,
3468,
19120,
10640,
4102,
2556,
9095,
16428,
4245,
5386,
2622,
14246,
2361,
2047,
2557,
17212,
4316,
2673,
1058,
2595,
28648,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2006.12687 | parameter estimation bound based theory spectral line recent method machine learning literature proposed gaussian noise based exogenous signal learn parameter dynamic system paper propose use spectral line based deterministic exogenous signal solve problem theoretical analysis consists new toolkit employ theory spectral line retains stochastic setting lead non asymptotic bound parameter estimation error result shown lead tunable parameter identification error particular shown identification error minimized optimal choice spectrum exogenous signal | 1 | 447,329 | [
101,
16381,
24155,
5391,
2241,
3399,
17435,
2240,
3522,
4118,
3698,
4083,
3906,
3818,
11721,
17854,
2937,
5005,
2241,
4654,
23924,
3560,
4742,
4553,
16381,
8790,
2291,
3259,
16599,
2224,
17435,
2240,
2241,
28283,
25300,
10074,
4654,
23924,
3560,
4742,
9611,
3291,
9373,
4106,
3774,
2047,
6994,
23615,
12666,
3399,
17435,
2240,
14567,
2358,
11663,
20875,
4292,
2599,
2512,
2004,
24335,
13876,
20214,
5391,
16381,
24155,
7561,
2765,
3491,
2599,
24799,
3468,
16381,
8720,
7561,
3327,
3491,
8720,
7561,
18478,
2094,
15502,
3601,
8674,
4654,
23924,
3560,
4742,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2010.15596 | verification pattern software pattern provide building block design implementation software system try make software engineering progress experience science software pattern made famous introduction design pattern pattern researched developed widely rapidly series book pattern oriented software architecture marked development software pattern mentioned book formalization pattern intermediate pattern language needed developed future pattern book formalize software pattern according category series book pattern oriented software architecture verify correctness pattern based truly concurrent process algebra one aspect pattern formalized verified aspect truly concurrent process algebra play role intermediate pattern language rigorous theory | 0 | 221,707 | [
101,
22616,
5418,
4007,
5418,
3073,
2311,
3796,
2640,
7375,
4007,
2291,
3046,
2191,
4007,
3330,
5082,
3325,
2671,
4007,
5418,
2081,
3297,
4955,
2640,
5418,
5418,
18800,
2764,
4235,
5901,
2186,
2338,
5418,
8048,
4007,
4294,
4417,
2458,
4007,
5418,
3855,
2338,
5337,
3989,
5418,
7783,
5418,
2653,
2734,
2764,
2925,
5418,
2338,
5337,
4697,
4007,
5418,
2429,
4696,
2186,
2338,
5418,
8048,
4007,
4294,
20410,
6149,
2791,
5418,
2241,
5621,
16483,
2832,
11208,
2028,
7814,
5418,
5337,
3550,
20119,
7814,
5621,
16483,
2832,
11208,
2377,
2535,
7783,
5418,
2653,
20001,
3399,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1902.03027 | alternative modelling inference method claim size distribution upper tail claim size distribution property line business frequently modelled pareto distribution however upper tail need pareto distributed extraordinary shape possible opportunity modelling loss distribution extended basic idea adjustment base distribution tail generalised pareto distribution used base distribution different reason upper tail focus modelled well special case discrete mixture base distribution combination base distribution adapting distribution via product survival function kind smoothed step realised way original line function logarithmic loss logarithmic exceedance probability lower tail also adjusted new approach offer opportunity stochastic interpretation applied observed loss parameter estimation modification minimum anderson darling distance method used new test suggested exclude observed upper tail better modelled simple pareto distribution q plot applied secondary result also discussed | 6 | 337,705 | [
101,
4522,
19518,
28937,
4118,
4366,
2946,
4353,
3356,
5725,
4366,
2946,
4353,
3200,
2240,
2449,
4703,
23364,
11968,
18903,
4353,
2174,
3356,
5725,
2342,
11968,
18903,
5500,
9313,
4338,
2825,
4495,
19518,
3279,
4353,
3668,
3937,
2801,
19037,
2918,
4353,
5725,
2236,
5084,
11968,
18903,
4353,
2109,
2918,
4353,
2367,
3114,
3356,
5725,
3579,
23364,
2092,
2569,
2553,
16246,
8150,
2918,
4353,
5257,
2918,
4353,
25357,
4353,
3081,
4031,
7691,
3853,
2785,
17966,
3357,
11323,
2126,
2434,
2240,
3853,
8833,
8486,
2705,
7712,
3279,
8833,
8486,
2705,
7712,
13467,
6651,
9723,
2896,
5725,
2036,
10426,
2047,
3921,
3749,
4495,
2358,
11663,
20875,
7613,
4162,
5159,
3279,
16381,
24155,
14080,
6263,
5143,
9548,
3292,
4118,
2109,
2047,
3231,
4081,
23329,
5159,
3356,
5725,
2488,
23364,
3722,
11968,
18903,
4353,
1053,
5436,
4162,
3905,
2765,
2036,
6936,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2006.06393 | conjecture hypergraph edge coloring problem let hypergraph two hypervertices edge bi partite multigraph graph integer multiplicity hyperedge integer multiplicity conjectured edge chromatic number fractional edge chromatic number respectively motivation study hyperedge coloring conjecture come university timetabling open shop scheduling multiprocessor prove conjecture paper | 1 | 377,937 | [
101,
22647,
23760,
14413,
3341,
22276,
3291,
2292,
23760,
14413,
2048,
23760,
16874,
23522,
3341,
12170,
2112,
4221,
4800,
14413,
10629,
16109,
4800,
27293,
23760,
24225,
16109,
4800,
27293,
22647,
2094,
3341,
10381,
23645,
2193,
12884,
2389,
3341,
10381,
23645,
2193,
4414,
14354,
2817,
23760,
24225,
22276,
22647,
2272,
2118,
2051,
2696,
9709,
2330,
4497,
19940,
4800,
21572,
9623,
21748,
6011,
22647,
3259,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2002.00744 | pel bert joint model protocol entity linking pre trained model bert widely used nlp task fine tuned improve performance various nlp task consistently nevertheless fine tuned bert model trained protocol corpus still weak performance entity linking el task paper propose model joint fine tuned language model rfc domain model firstly design protocol knowledge base guideline protocol el secondly propose novel model pel bert link named entity protocol category protocol knowledge base finally conduct comprehensive study performance pre trained language model descriptive text abstract concept experimental result demonstrate model achieves state art performance el annotated dataset outperforming baseline | 0 | 86,632 | [
101,
21877,
2140,
14324,
4101,
2944,
8778,
9178,
11383,
3653,
4738,
2944,
14324,
4235,
2109,
17953,
2361,
4708,
2986,
15757,
5335,
2836,
2536,
17953,
2361,
4708,
10862,
6600,
2986,
15757,
14324,
2944,
4738,
8778,
13931,
2145,
5410,
2836,
9178,
11383,
3449,
4708,
3259,
16599,
2944,
4101,
2986,
15757,
2653,
2944,
14645,
5884,
2944,
15847,
2640,
8778,
3716,
2918,
5009,
4179,
8778,
3449,
16378,
16599,
3117,
2944,
21877,
2140,
14324,
4957,
2315,
9178,
8778,
4696,
8778,
3716,
2918,
2633,
6204,
7721,
2817,
2836,
3653,
4738,
2653,
2944,
22726,
3793,
10061,
4145,
6388,
2765,
10580,
2944,
6162,
2015,
2110,
2396,
2836,
3449,
5754,
17287,
3064,
2951,
13462,
2041,
4842,
14192,
2075,
26163,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2007.1514 | computing optimal decision set sat machine learning increasingly used help make decision demand decision explainable arguably explainable machine learning model use decision rule paper focus decision set type model unordered rule explains prediction single rule order easy human understand rule must concise earlier work generating optimal decision set first minimizes number rule minimizes number literal resulting rule often large consider better measure namely total size decision set term literal driven small set rule require large number literal provide first approach determine minimum size decision set achieve minimum empirical risk investigate sparse alternative trade accuracy size finding optimal solution show build decision set classifier almost accurate best heuristic method far concise hence explainable | 0 | 76,338 | [
101,
9798,
15502,
3247,
2275,
2938,
3698,
4083,
6233,
2109,
2393,
2191,
3247,
5157,
3247,
4863,
3085,
15835,
4863,
3085,
3698,
4083,
2944,
2224,
3247,
3627,
3259,
3579,
3247,
2275,
2828,
2944,
27776,
26764,
2098,
3627,
7607,
17547,
2309,
3627,
2344,
3733,
2529,
3305,
3627,
2442,
9530,
18380,
3041,
2147,
11717,
15502,
3247,
2275,
2034,
18478,
2015,
2193,
3627,
18478,
2015,
2193,
18204,
4525,
3627,
2411,
2312,
5136,
2488,
5468,
8419,
2561,
2946,
3247,
2275,
2744,
18204,
5533,
2235,
2275,
3627,
5478,
2312,
2193,
18204,
3073,
2034,
3921,
5646,
6263,
2946,
3247,
2275,
6162,
6263,
17537,
3891,
8556,
20288,
4522,
3119,
10640,
2946,
4531,
15502,
5576,
2265,
3857,
3247,
2275,
2465,
18095,
2471,
8321,
2190,
2002,
9496,
10074,
4118,
2521,
9530,
18380,
6516,
4863,
3085,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2104.13085 | compressive sampling using pushframe camera recently described pushframe imager parallelized single pixel camera capturing pushbroom like motion intrinsically suited remote sensing compressive sampling optically applies mask imaged scene performing light integration along single spatial axis previous work made use architecture potential taking measurement sparsely paper develop strongly performing static binarized noiselet compressive sampling mask design tailored pushframe hardware allowing single exposure per motion time step retention correlation scene result simulated real world capture presented performance shown similar immobile hence inappropriate satellite use whole scene imagers particular feature sampling approach degree compression varied without altering pattern demonstrate utility efficiently storing transmitting multi spectral image | 3 | 364,291 | [
101,
4012,
27484,
16227,
2478,
5245,
15643,
4950,
3728,
2649,
5245,
15643,
3746,
2099,
5903,
3550,
2309,
22138,
4950,
11847,
5245,
12618,
5358,
2066,
4367,
23807,
3973,
10897,
6556,
13851,
4012,
27484,
16227,
9380,
2135,
12033,
7308,
3746,
2094,
3496,
4488,
2422,
8346,
2247,
2309,
13589,
8123,
3025,
2147,
2081,
2224,
4294,
4022,
2635,
10903,
24961,
3259,
4503,
6118,
4488,
10763,
8026,
8486,
5422,
5005,
7485,
4012,
27484,
16227,
7308,
2640,
21727,
5245,
15643,
8051,
4352,
2309,
7524,
2566,
4367,
2051,
3357,
20125,
16902,
3496,
2765,
23599,
2613,
2088,
5425,
3591,
2836,
3491,
2714,
10047,
17751,
6516,
15884,
5871,
2224,
2878,
3496,
3746,
2869,
3327,
3444,
16227,
3921,
3014,
13379,
9426,
2302,
22552,
5418,
10580,
9710,
18228,
23977,
23820,
4800,
17435,
3746,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2007.15718 | pseudo hermitic generator deformed wood saxon potential paper present general method solve non hermetic potential pt symmetry using definition two pseudo hermetic first order operator generator applies dirac equation consists two spinor wave function non hermetic potential position mass considered constant value also hamiltonian hierarchy method shape invariance property used perform calculation furthermore show correlation potential parameter transmission probability pseudo hermetic using change focal point hamiltonian formalized based schrodinger like equation using method solvable potential deformed wood saxon potential shown real potential decomposed complex potential consisting eigenvalue class pseudo hermitic | 13 | 151,441 | [
101,
18404,
24308,
2594,
13103,
13366,
2953,
7583,
3536,
10038,
4022,
3259,
2556,
2236,
4118,
9611,
2512,
2014,
11368,
2594,
4022,
13866,
14991,
2478,
6210,
2048,
18404,
2014,
11368,
2594,
2034,
2344,
6872,
13103,
12033,
16101,
6305,
8522,
3774,
2048,
6714,
2953,
4400,
3853,
2512,
2014,
11368,
2594,
4022,
2597,
3742,
2641,
5377,
3643,
2036,
5226,
2937,
12571,
4118,
4338,
1999,
10755,
28335,
3200,
2109,
4685,
17208,
7297,
2265,
16902,
4022,
16381,
6726,
9723,
18404,
2014,
11368,
2594,
2478,
2689,
15918,
2391,
5226,
2937,
5337,
3550,
2241,
8040,
8093,
7716,
9912,
2066,
8522,
2478,
4118,
14017,
12423,
4022,
13366,
2953,
7583,
3536,
10038,
4022,
3491,
2613,
4022,
21933,
8737,
24768,
3375,
4022,
5398,
1041,
29206,
10175,
5657,
2465,
18404,
24308,
2594,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2009.05587 | minimal froggatt nielsen texture flavour problem standard model addressed froggatt nielsen fn mechanism work develop approach study fn texture building direct link fn charge assignment measured mass mixing angle via unitary transformation flavour space specifically focus quark sector identify economic fn model able provide dynamical natural understanding flavour puzzle remarkably find viable fn texture involving charge horizontal symmetry exceed one absolute value unit flavon charge within approach also explore degree tuning fn model solving flavour problem via measure analogous barbieri giudice one find solution involve peculiar cancellation flavour space | 7 | 634,688 | [
101,
10124,
10729,
20697,
2102,
13188,
14902,
28126,
3291,
3115,
2944,
8280,
10729,
20697,
2102,
13188,
1042,
2078,
7337,
2147,
4503,
3921,
2817,
1042,
2078,
14902,
2311,
3622,
4957,
1042,
2078,
3715,
8775,
7594,
3742,
6809,
6466,
3081,
22127,
8651,
28126,
2686,
4919,
3579,
24209,
17007,
4753,
6709,
3171,
1042,
2078,
2944,
2583,
3073,
8790,
2389,
3019,
4824,
28126,
11989,
17431,
2424,
14874,
1042,
2078,
14902,
5994,
3715,
9876,
14991,
13467,
2028,
7619,
3643,
3131,
13109,
11431,
2239,
3715,
2306,
3921,
2036,
8849,
3014,
17372,
1042,
2078,
2944,
13729,
28126,
3291,
3081,
5468,
19639,
22635,
3089,
21025,
21041,
3401,
2028,
2424,
5576,
9125,
14099,
16990,
28126,
2686,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2003.07493 | deep relational reasoning graph network arbitrary shape text detection arbitrary shape text detection challenging task due high variety complexity scene text paper propose novel unified relational reasoning graph network arbitrary shape text detection method innovative local graph bridge text proposal model via convolutional neural network cnn deep relational reasoning network via graph convolutional network gcn making network end end trainable concrete every text instance divided series small rectangular component geometry attribute eg height width orientation small component estimated text proposal model given geometry attribute local graph construction model roughly establish linkage different text component reasoning deducing likelihood linkage component neighbor adopt graph based network perform deep relational reasoning local graph experiment public available datasets demonstrate state art performance method | 0 | 366,584 | [
101,
2784,
28771,
13384,
10629,
2897,
15275,
4338,
3793,
10788,
15275,
4338,
3793,
10788,
10368,
4708,
2349,
2152,
3528,
11619,
3496,
3793,
3259,
16599,
3117,
10562,
28771,
13384,
10629,
2897,
15275,
4338,
3793,
10788,
4118,
9525,
2334,
10629,
2958,
3793,
6378,
2944,
3081,
9530,
6767,
7630,
3508,
2389,
15756,
2897,
13229,
2784,
28771,
13384,
2897,
3081,
10629,
9530,
6767,
7630,
3508,
2389,
2897,
1043,
2278,
2078,
2437,
2897,
2203,
2203,
3345,
3085,
5509,
2296,
3793,
6013,
4055,
2186,
2235,
10806,
6922,
10988,
17961,
1041,
2290,
4578,
9381,
10296,
2235,
6922,
4358,
3793,
6378,
2944,
2445,
10988,
17961,
2334,
10629,
2810,
2944,
5560,
5323,
4957,
4270,
2367,
3793,
6922,
13384,
2139,
8566,
6129,
16593,
4957,
4270,
6922,
11429,
11092,
10629,
2241,
2897,
4685,
2784,
28771,
13384,
2334,
10629,
7551,
2270,
2800,
2951,
13462,
2015,
10580,
2110,
2396,
2836,
4118,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1906.03446 | roe strichartz theorem two step nilpotent lie group strichartz characterized eigenfunctions laplacian euclidean space boundedness condition generalized result roe one dimensional case also proved analogous statement sublaplacian heisenberg group paper extend result connected simply connected two step nilpotent lie group | 1 | 614,002 | [
101,
20944,
2358,
13149,
8445,
2480,
9872,
2048,
3357,
9152,
14277,
12184,
3372,
4682,
2177,
2358,
13149,
8445,
2480,
7356,
1041,
29206,
11263,
27989,
2015,
5001,
2721,
14483,
25826,
2686,
10351,
2791,
4650,
18960,
2765,
20944,
2028,
8789,
2553,
2036,
4928,
19639,
4861,
4942,
2721,
24759,
6305,
2937,
2002,
28992,
4059,
2177,
3259,
7949,
2765,
4198,
3432,
4198,
2048,
3357,
9152,
14277,
12184,
3372,
4682,
2177,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1908.09456 | attentive history selection conversational question answering conversational question answering convqa simplified concrete setting conversational search one major challenge leverage conversation history understand answer current question work propose novel solution convqa involves three aspect first propose positional history answer embedding method encode conversation history position information using bert natural way bert powerful technique text representation second design history attention mechanism ham conduct soft selection conversation history method attends history turn different weight based helpful answering current question third addition handling conversation history take advantage multi task learning mtl answer prediction along another essential conversation task dialog act prediction using uniform model architecture mtl able learn expressive generic representation improve performance convqa demonstrate effectiveness model extensive experimental evaluation quac large scale convqa dataset show position information play important role conversation history modeling also visualize history attention provide new insight conversation history understanding | 0 | 719,223 | [
101,
2012,
6528,
6024,
2381,
4989,
4512,
2389,
3160,
10739,
4512,
2389,
3160,
10739,
9530,
2615,
19062,
11038,
5509,
4292,
4512,
2389,
3945,
2028,
2350,
4119,
21155,
4512,
2381,
3305,
3437,
2783,
3160,
2147,
16599,
3117,
5576,
9530,
2615,
19062,
7336,
2093,
7814,
2034,
16599,
2597,
2389,
2381,
3437,
7861,
8270,
4667,
4118,
4372,
16044,
4512,
2381,
2597,
2592,
2478,
14324,
3019,
2126,
14324,
3928,
6028,
3793,
6630,
2117,
2640,
2381,
3086,
7337,
10654,
6204,
3730,
4989,
4512,
2381,
4118,
23933,
2381,
2735,
2367,
3635,
2241,
14044,
10739,
2783,
3160,
2353,
2804,
8304,
4512,
2381,
2202,
5056,
4800,
4708,
4083,
11047,
2140,
3437,
17547,
2247,
2178,
6827,
4512,
4708,
13764,
8649,
2552,
17547,
2478,
6375,
2944,
4294,
11047,
2140,
2583,
4553,
22570,
12391,
6630,
5335,
2836,
9530,
2615,
19062,
10580,
12353,
2944,
4866,
6388,
9312,
24209,
6305,
2312,
4094,
9530,
2615,
19062,
2951,
13462,
2265,
2597,
2592,
2377,
2590,
2535,
4512,
2381,
11643,
2036,
5107,
4697,
2381,
3086,
3073,
2047,
12369,
4512,
2381,
4824,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2004.12426 | metastable solitonic state strained itinerant helimagnet fege tensile strain promising tool creation manipulation magnetic solitonic texture chiral helimagnets via tunable control magnetic anisotropy dzyaloshinskii moriya interaction using situ resonant small angle ray scattering demonstrate skyrmion chiral soliton lattice achieved metastable state fege lamella distinct state even simultaneously combining tensile strain magnetic field various orientation respect deformation small angle scattering data discussed frame analytical model sufficient describe experimental result soliton lattice using experimental result analytical theory unwinding metastable skyrmions perpendicular magnetic field seen small angle scattering experiment analyzed micromagnetic simulation | 4 | 121,158 | [
101,
18804,
9153,
3468,
14017,
9956,
8713,
2110,
12250,
2009,
26455,
4630,
2002,
17960,
25440,
2102,
10768,
3351,
15295,
9463,
10178,
10015,
6994,
4325,
16924,
8060,
14017,
9956,
8713,
14902,
9610,
7941,
2002,
17960,
25440,
3215,
3081,
24799,
3468,
2491,
8060,
2019,
19565,
13181,
7685,
1040,
9096,
23067,
17426,
5488,
2072,
22993,
3148,
8290,
2478,
26179,
24501,
7856,
3372,
2235,
6466,
4097,
17501,
10580,
3712,
28550,
2239,
9610,
7941,
14017,
9956,
2078,
17779,
4719,
18804,
9153,
3468,
2110,
10768,
3351,
20342,
4571,
5664,
2110,
2130,
7453,
11566,
15295,
9463,
10178,
8060,
2492,
2536,
10296,
4847,
29130,
2235,
6466,
17501,
2951,
6936,
4853,
17826,
2944,
7182,
6235,
6388,
2765,
14017,
9956,
2078,
17779,
2478,
6388,
2765,
17826,
3399,
4895,
11101,
2075,
18804,
9153,
3468,
3712,
28550,
5644,
19581,
8060,
2492,
2464,
2235,
6466,
17501,
7551,
16578,
12702,
2863,
10177,
4588,
12504,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2007.09077 | generating person image appearance aware pose stylizer generation high quality person image challenging due sophisticated entanglement among image factor eg appearance pose foreground background local detail global structure etc paper present novel end end framework generate realistic person image based given person pose appearance core framework novel generator called appearance aware pose stylizer aps generates human image coupling target pose conditioned person appearance progressively framework highly flexible controllable effectively decoupling various complex person image factor encoding phase followed coupling decoding phase addition present new normalization method named adaptive patch normalization enables region specific normalization show good performance adopted person image generation model experiment two benchmark datasets show method capable generating visually appealing realistic looking result using arbitrary image pose input | 0 | 367,230 | [
101,
11717,
2711,
3746,
3311,
5204,
13382,
2358,
8516,
17629,
4245,
2152,
3737,
2711,
3746,
10368,
2349,
12138,
4372,
23395,
3672,
2426,
3746,
5387,
1041,
2290,
3311,
13382,
18921,
16365,
4281,
2334,
6987,
3795,
3252,
4385,
3259,
2556,
3117,
2203,
2203,
7705,
9699,
12689,
2711,
3746,
2241,
2445,
2711,
13382,
3311,
4563,
7705,
3117,
13103,
2170,
3311,
5204,
13382,
2358,
8516,
17629,
9706,
2015,
19421,
2529,
3746,
19780,
4539,
13382,
22442,
2711,
3311,
20519,
7705,
3811,
12379,
2491,
20470,
2571,
6464,
21933,
6279,
2989,
2536,
3375,
2711,
3746,
5387,
17181,
4403,
2628,
19780,
21933,
4667,
4403,
2804,
2556,
2047,
3671,
3989,
4118,
2315,
19293,
8983,
3671,
3989,
12939,
2555,
3563,
3671,
3989,
2265,
2204,
2836,
4233,
2711,
3746,
4245,
2944,
7551,
2048,
6847,
10665,
2951,
13462,
2015,
2265,
4118,
5214,
11717,
17453,
16004,
12689,
2559,
2765,
2478,
15275,
3746,
13382,
7953,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2003.03462 | basisvae translation invariant feature level clustering variational autoencoders variational autoencoders vaes provide flexible scalable framework non linear dimensionality reduction however application domain genomics data set typically tabular high dimensional black box approach dimensionality reduction provide sufficient insight common data analysis workflow additionally use clustering technique identify group similar feature usually lead two stage process however would desirable construct joint modelling framework simultaneous dimensionality reduction clustering feature paper propose achieve basisvae combination vae probabilistic clustering prior let u learn one hot basis function representation part decoder network furthermore scenario feature aligned develop extension handle translation invariant basis function show collapsed variational inference scheme lead scalable efficient inference basisvae demonstrated various toy example well single cell gene expression data | 0 | 715,711 | [
101,
3978,
3567,
2063,
5449,
23915,
3444,
2504,
9324,
2075,
8386,
2389,
8285,
2368,
16044,
2869,
8386,
2389,
8285,
2368,
16044,
2869,
12436,
2229,
3073,
12379,
26743,
3468,
7705,
2512,
7399,
8789,
3012,
7312,
2174,
4646,
5884,
8991,
25524,
2951,
2275,
4050,
21628,
7934,
2152,
8789,
2304,
3482,
3921,
8789,
3012,
7312,
3073,
7182,
12369,
2691,
2951,
4106,
2147,
12314,
5678,
2224,
9324,
2075,
6028,
6709,
2177,
2714,
3444,
2788,
2599,
2048,
2754,
2832,
2174,
2052,
16166,
9570,
4101,
19518,
7705,
17424,
8789,
3012,
7312,
9324,
2075,
3444,
3259,
16599,
6162,
3978,
3567,
2063,
5257,
12436,
2063,
4013,
3676,
27965,
4588,
9324,
2075,
3188,
2292,
1057,
4553,
2028,
2980,
3978,
3853,
6630,
2112,
21933,
4063,
2897,
7297,
11967,
3444,
13115,
4503,
5331,
5047,
5449,
23915,
3978,
3853,
2265,
7798,
8386,
2389,
28937,
5679,
2599,
26743,
3468,
8114,
28937,
3978,
3567,
2063,
7645,
2536,
9121,
2742,
2092,
2309,
3526,
4962,
3670,
2951,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2008.00751 | ab aur rosetta stone study planet formation chemical study planet forming disk ab aur herbig ae star host prototypical transition disk disk show plethora feature connected planet formation mechanism understanding physical chemical characteristic feature crucial advancing knowledge planet formation aim characterize gaseous disk around herbig ae star ab aur complete spectroscopic study performed using noema determine physical chemical condition present new observation continuum co co co hco line used integrated intensity map stacked spectrum derive estimate disk temperature combining co co observation computed gas dust ratio along disk also derived column density map different specie used compute abundance map result observation compared nautilus astrochemical model detected continuum emission ring extends arcsec peaking strong azimuthal asymmetry molecule observed show different spatial distribution peak distribution correlated binding energy using hco line derived mean disk temperature derived gas dust ratio range comparison nautilus model favor disk low gas dust ratio prominent sulfur depletion complete spectroscopic study prototypical disk around ab aur derived first time gas temperature gas dust ratio along disk providing information essential constraining hydrodynamical simulationsmoreover explored gas chemistry particular sulfur depletion derived sulfur depletion dependent assumed co ratio data better explained co | 10 | 758,232 | [
101,
11113,
8740,
2099,
3123,
5946,
2962,
2817,
4774,
4195,
5072,
2817,
4774,
5716,
9785,
11113,
8740,
2099,
12810,
8004,
29347,
2732,
3677,
15053,
27086,
6653,
9785,
9785,
2265,
20228,
11031,
6525,
3444,
4198,
4774,
4195,
7337,
4824,
3558,
5072,
8281,
3444,
10232,
10787,
3716,
4774,
4195,
6614,
2839,
4697,
3806,
14769,
9785,
2105,
12810,
8004,
29347,
2732,
11113,
8740,
2099,
3143,
28699,
13181,
24895,
2817,
2864,
2478,
2053,
14545,
5646,
3558,
5072,
4650,
2556,
2047,
8089,
22961,
2522,
2522,
2522,
16731,
2080,
2240,
2109,
6377,
8015,
4949,
16934,
8674,
18547,
10197,
9785,
4860,
11566,
2522,
2522,
8089,
24806,
3806,
6497,
6463,
2247,
9785,
2036,
5173,
5930,
4304,
4949,
2367,
28699,
2666,
2109,
24134,
14531,
4949,
2765,
8089,
4102,
6583,
21823,
7393,
28625,
15869,
2944,
11156,
22961,
15760,
3614,
8908,
29137,
8586,
13015,
2844,
17207,
5714,
14317,
2389,
2004,
24335,
24327,
13922,
5159,
2265,
2367,
13589,
4353,
4672,
4353,
23900,
8031,
2943,
2478,
16731,
2080,
2240,
5173,
2812,
9785,
4860,
5173,
3806,
6497,
6463,
2846,
7831,
6583,
21823,
7393,
2944,
5684,
9785,
2659,
3806,
6497,
6463,
4069,
17864,
2139,
10814,
3508,
3143,
28699,
13181,
24895,
2817,
15053,
27086,
9785,
2105,
11113,
8740,
2099,
5173,
2034,
2051,
3806,
4860,
3806,
6497,
6463,
2247,
9785,
4346,
2592,
6827,
9530,
20528,
24002,
18479,
5149,
28987,
9289,
24710,
5974,
7840,
10641,
3806,
6370,
3327,
17864,
2139,
10814,
3508,
5173,
17864,
2139,
10814,
3508,
7790,
5071,
2522,
6463,
2951,
2488,
4541,
2522,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2005.10323 | weyl formula schrodinger operator critically singular potential obtain generalization classical version weyl formula involving schrodinger operator compact boundaryless riemannian manifold critically singular potential particular extend classical result avakumovic levitan hormander obtaining bound error term weyl formula universal case merely assume belongs kato class minimal assumption ensure essentially self adjoint bounded favorable heat kernel bound case also obtain extension duistermaat guillemin theorem yielding bound error term generic condition geodesic flow also extend berards theorem yielding error bound assumption principal curvature non positive everywhere obtain improvement torus essentially optimal strengthen assumption potential appropriate exponent | 1 | 418,459 | [
101,
2057,
8516,
5675,
8040,
8093,
7716,
9912,
6872,
11321,
13048,
4022,
6855,
2236,
3989,
4556,
2544,
2057,
8516,
5675,
5994,
8040,
8093,
7716,
9912,
6872,
9233,
6192,
3238,
15544,
17545,
2937,
19726,
11321,
13048,
4022,
3327,
7949,
4556,
2765,
10927,
5283,
5302,
7903,
11902,
5794,
7570,
14515,
4063,
11381,
5391,
7561,
2744,
2057,
8516,
5675,
5415,
2553,
6414,
7868,
7460,
27496,
2465,
10124,
11213,
5676,
7687,
2969,
4748,
5558,
18447,
10351,
11119,
3684,
16293,
5391,
2553,
2036,
6855,
5331,
4241,
12911,
2863,
4017,
26458,
6216,
10020,
9872,
21336,
5391,
7561,
2744,
12391,
4650,
20248,
6155,
2594,
4834,
2036,
7949,
2022,
25561,
2015,
9872,
21336,
7561,
5391,
11213,
4054,
25045,
2512,
3893,
7249,
6855,
7620,
17153,
2271,
7687,
15502,
12919,
11213,
4022,
6413,
16258,
21576,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2011.06075 | domain wall leaky integrate fire neuron shape based configurable activation function complementary metal oxide semiconductor cmos device display volatile characteristic well suited analog application neuromorphic computing spintronic device hand exhibit non volatile analog feature well suited neuromorphic computing consequently novel device forefront beyond cmos artificial intelligence application however large quantity artificial neuromorphic device still require use cmos decrease efficiency system resolve previously proposed number artificial neuron synapsis require cmos operation although device significant improvement previous rendition ability enable neural network learning recognition limited intrinsic activation function work proposes modification spintronic neuron enable configuration activation function control shape magnetic domain wall track linear sigmoidal activation function demonstrated work extended similar approach enable wide variety activation function | 4 | 475,674 | [
101,
5884,
2813,
17271,
2100,
17409,
2543,
11265,
21017,
4338,
2241,
9530,
8873,
27390,
3085,
13791,
3853,
21053,
3384,
15772,
20681,
4642,
2891,
5080,
4653,
20606,
8281,
2092,
10897,
11698,
4646,
11265,
10976,
18078,
9798,
6714,
15312,
2594,
5080,
2192,
8327,
2512,
20606,
11698,
3444,
2092,
10897,
11265,
10976,
18078,
9798,
8821,
3117,
5080,
22870,
3458,
4642,
2891,
7976,
4454,
4646,
2174,
2312,
11712,
7976,
11265,
10976,
18078,
5080,
2145,
5478,
2224,
4642,
2891,
9885,
8122,
2291,
10663,
3130,
3818,
2193,
7976,
11265,
21017,
19962,
9331,
6190,
5478,
4642,
2891,
3169,
2348,
5080,
3278,
7620,
3025,
19187,
3754,
9585,
15756,
2897,
4083,
5038,
3132,
23807,
13791,
3853,
2147,
17146,
14080,
6714,
15312,
2594,
11265,
21017,
9585,
9563,
13791,
3853,
2491,
4338,
8060,
5884,
2813,
2650,
7399,
9033,
21693,
9314,
2389,
13791,
3853,
7645,
2147,
3668,
2714,
3921,
9585,
2898,
3528,
13791,
3853,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2102.09448 | generative approach joint modeling quantitative qualitative response many scientific area data quantitative qualitative qq response commonly encountered large number predictor exploring association qq response existing approach often consider joint model qq response given predictor variable however dependency among predictive variable also provides useful information modeling qq response work propose generative approach model joint distribution qq response predictor proposed generative model provides efficient parameter estimation penalized likelihood framework achieves accurate classification qualitative response accurate prediction quantitative response efficient computation generative approach framework asymptotic optimality classification prediction proposed method established regularity condition performance proposed method examined simulation real case study material science genetics | 6 | 19,316 | [
101,
11416,
6024,
3921,
4101,
11643,
20155,
24209,
11475,
27453,
3433,
2116,
4045,
2181,
2951,
20155,
24209,
11475,
27453,
1053,
4160,
3433,
4141,
8567,
2312,
2193,
16014,
2953,
11131,
2523,
1053,
4160,
3433,
4493,
3921,
2411,
5136,
4101,
2944,
1053,
4160,
3433,
2445,
16014,
2953,
8023,
2174,
24394,
2426,
16014,
3512,
8023,
2036,
3640,
6179,
2592,
11643,
1053,
4160,
3433,
2147,
16599,
11416,
6024,
3921,
2944,
4101,
4353,
1053,
4160,
3433,
16014,
2953,
3818,
11416,
6024,
2944,
3640,
8114,
16381,
24155,
18476,
3550,
16593,
7705,
6162,
2015,
8321,
5579,
24209,
11475,
27453,
3433,
8321,
17547,
20155,
3433,
8114,
22334,
11416,
6024,
3921,
7705,
2004,
24335,
13876,
20214,
15502,
3012,
5579,
17547,
3818,
4118,
2511,
3180,
3012,
4650,
2836,
3818,
4118,
8920,
12504,
2613,
2553,
2817,
3430,
2671,
14471,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1907.03581 | single boson exchange decomposition vertex function present decomposition two particle vertex function single band anderson impurity model imparts physical interpretation vertex term exchange boson three flavor evaluate various component vertex impurity model corresponding half filled hubbard model within dynamical mean field theory small value interaction almost entire information encoded vertex function corresponds single boson exchange process represented term hedin three leg vertex screened interaction also larger interaction single boson exchange still capture scattering electron dominant low energy fluctuation provides unified description vertex asymptotics proposed decomposition vertex require matrix inversion bethe salpeter equation therefore represents computationally lighter hence practical alternative parquet decomposition | 4 | 812,732 | [
101,
2309,
8945,
3385,
3863,
22511,
19449,
3853,
2556,
22511,
2048,
10811,
19449,
3853,
2309,
2316,
5143,
17727,
25137,
2944,
17727,
20591,
3558,
7613,
19449,
2744,
3863,
8945,
3385,
2093,
14894,
16157,
2536,
6922,
19449,
17727,
25137,
2944,
7978,
2431,
3561,
16580,
2944,
2306,
8790,
2389,
2812,
2492,
3399,
2235,
3643,
8290,
2471,
2972,
2592,
12359,
19449,
3853,
14788,
2309,
8945,
3385,
3863,
2832,
3421,
2744,
2002,
8718,
2093,
4190,
19449,
12238,
8290,
2036,
3469,
8290,
2309,
8945,
3385,
3863,
2145,
5425,
17501,
10496,
7444,
2659,
2943,
19857,
6593,
14505,
3640,
10562,
6412,
19449,
2004,
24335,
13876,
20214,
2015,
3818,
22511,
19449,
5478,
8185,
28527,
7014,
2063,
16183,
22327,
2121,
8522,
3568,
5836,
15078,
2135,
9442,
6516,
6742,
4522,
11968,
12647,
22511,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1909.13079 | optimal algorithm multiplayer multi armed bandit paper address multiplayer multi armed bandit mmab problem decision maker player collaborate maximize cumulative reward several player select arm collision occurs reward collected arm player involved collision informed collision present dpe decentralized parsimonious exploration decentralized algorithm achieves regret obtained optimal centralized algorithm algorithm better regret guarantee state art algorithm sic mmab citeboursier sic mmab player communicate collision additional important advantage dpe requires little communication specifically expected number round player use collision communicate finite | 6 | 372,017 | [
101,
15502,
9896,
17762,
4800,
4273,
25334,
3259,
4769,
17762,
4800,
4273,
25334,
21021,
2497,
3291,
3247,
9338,
2447,
20880,
25845,
23260,
10377,
2195,
2447,
7276,
2849,
12365,
5158,
10377,
5067,
2849,
2447,
2920,
12365,
6727,
12365,
2556,
1040,
5051,
11519,
7941,
3550,
11968,
5332,
8202,
6313,
8993,
11519,
7941,
3550,
9896,
6162,
2015,
9038,
4663,
15502,
22493,
9896,
9896,
2488,
9038,
11302,
2110,
2396,
9896,
14387,
21021,
2497,
21893,
25127,
20236,
14387,
21021,
2497,
2447,
10639,
12365,
3176,
2590,
5056,
1040,
5051,
5942,
2210,
4807,
4919,
3517,
2193,
2461,
2447,
2224,
12365,
10639,
10713,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1911.03088 | vacuum bran dicke theory jordan einstein frame distinguished lensing vacuum bran dicke theory self consistently described two frame jordan frame jf conformally rescaled einstein frame ef transformation providing easy passage one frame level action solution despite conformal frame inequivalent describing different geometry shown prediction weak field lensing wfl observables ef different recently obtained jf vacuum bran dicke class solution value bran dicke coupling parameter cassini spacecraft experiment reveals degree accuracy needed experimentally distinguish wfl measurement including total magnification factor two frame | 11 | 540,789 | [
101,
11641,
24905,
5980,
2063,
3399,
5207,
15313,
4853,
5182,
10014,
2075,
11641,
24905,
5980,
2063,
3399,
2969,
10862,
2649,
2048,
4853,
5207,
4853,
1046,
2546,
23758,
3973,
24501,
9289,
2098,
15313,
4853,
1041,
2546,
8651,
4346,
3733,
6019,
2028,
4853,
2504,
2895,
5576,
2750,
23758,
2389,
4853,
1999,
2063,
15549,
24879,
7851,
2367,
10988,
3491,
17547,
5410,
2492,
10014,
2075,
1059,
10258,
27885,
8043,
12423,
2015,
1041,
2546,
2367,
3728,
4663,
1046,
2546,
11641,
24905,
5980,
2063,
2465,
5576,
3643,
24905,
5980,
2063,
19780,
16381,
16220,
5498,
12076,
7551,
7657,
3014,
10640,
2734,
6388,
2135,
10782,
1059,
10258,
10903,
2164,
2561,
23848,
3490,
10803,
5387,
2048,
4853,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2001.07299 | theoretical investigation optical intersubband transition infrared photodetection alxga xogao quantum well structure provide theoretical consideration intersubband transition designed ultrawide bandgap aluminum gallium oxide alxga xogallium oxide gao quantum well system conventional material system matured successful intersubband device application large area quantum well infrared photodetectorqwip focal plane array reproducible imaging system fundamentally limited via maximum conduction band offset mid long wavelength infrared application short near infrared device technologically important optical communication system biomedical imaging application difficult realize intersubband design reason work use first principle approach estimate expansive design space monoclinic alxgaxogao material system reach short wavelength infrared mum far infrared greater mum transition wavelength estimate performance metric two qwips operating long short wavelength regime including estimation high room temperature detectivity jones optical communication wavelength lambdap mum finding demonstrate potential rapidly maturing alxga xogao material system open door intersubband device application | 2 | 484,766 | [
101,
9373,
4812,
9380,
6970,
6342,
22414,
4859,
6653,
14611,
6302,
3207,
26557,
3508,
2632,
2595,
3654,
1060,
18170,
2080,
8559,
2092,
3252,
3073,
9373,
9584,
6970,
6342,
22414,
4859,
6653,
2881,
11087,
22517,
2316,
3654,
2361,
13061,
26033,
5007,
15772,
2632,
2595,
3654,
1060,
18170,
6894,
2819,
15772,
17377,
8559,
2092,
2291,
7511,
3430,
2291,
9677,
2094,
3144,
6970,
6342,
22414,
4859,
5080,
4646,
2312,
2181,
8559,
2092,
14611,
6302,
3207,
26557,
4263,
4160,
9148,
2361,
15918,
4946,
9140,
16360,
14127,
21104,
12126,
2291,
24670,
3132,
3081,
4555,
6204,
3258,
2316,
16396,
3054,
2146,
19934,
14611,
4646,
2460,
2379,
14611,
5080,
10660,
2135,
2590,
9380,
4807,
2291,
20906,
12126,
4646,
3697,
5382,
6970,
6342,
22414,
4859,
2640,
3114,
2147,
2224,
2034,
6958,
3921,
10197,
25145,
2640,
2686,
18847,
20464,
5498,
2278,
2632,
2595,
3654,
2595,
18170,
2080,
3430,
2291,
3362,
2460,
19934,
14611,
12954,
2521,
14611,
3618,
12954,
6653,
19934,
10197,
2836,
12046,
2048,
1053,
9148,
4523,
4082,
2146,
2460,
19934,
6939,
2164,
24155,
2152,
2282,
4860,
11487,
7730,
3557,
9380,
4807,
19934,
23375,
2361,
12954,
4531,
10580,
4022,
5901,
13523,
12228,
2632,
2595,
3654,
1060,
18170,
2080,
3430,
2291,
2330,
2341,
6970,
6342,
22414,
4859,
5080,
4646,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2007.10176 | mass dependence pseudocritical temperature mean field approximation restrict computation mean field approximation could lead clear critical behavior analyze scaling behavior different shape interaction kernel considering different dressed gluon model critical exponent obtained consistent universality class size critical region mev mean field approximation set naturally upper bound critical region since fluctuation beyond mean field usually diminish critical region besides analyze possible percentage maximum chiral susceptibility pion mass range chiral phase transition temperature independent current quark mass result show percentage pion mass range depend detail interaction kernel differs gluon model | 7 | 19,675 | [
101,
3742,
18642,
18404,
26775,
26116,
4860,
2812,
2492,
20167,
21573,
22334,
2812,
2492,
20167,
2071,
2599,
3154,
4187,
5248,
17908,
25169,
5248,
2367,
4338,
8290,
16293,
6195,
2367,
5102,
1043,
7630,
2239,
2944,
4187,
16258,
21576,
4663,
8335,
5415,
3012,
2465,
2946,
4187,
2555,
2033,
2615,
2812,
2492,
20167,
2275,
8100,
3356,
5391,
4187,
2555,
2144,
19857,
6593,
14505,
3458,
2812,
2492,
2788,
11737,
5498,
4095,
4187,
2555,
4661,
17908,
2825,
7017,
4555,
9610,
7941,
10514,
11020,
23606,
13464,
14255,
2239,
3742,
2846,
9610,
7941,
4403,
6653,
4860,
2981,
2783,
24209,
17007,
3742,
2765,
2265,
7017,
14255,
2239,
3742,
2846,
12530,
6987,
8290,
16293,
12980,
1043,
7630,
2239,
2944,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2004.14359 | steady euler flow sphere sasakian manifold present new steady euler solution round sphere bifurcate ansatz proposed khesin kuksin peralta salas showing previously known solution isolated also extend ansatz sasakian manifold heisenberg group | 1 | 462,197 | [
101,
6706,
7327,
3917,
4834,
10336,
21871,
8978,
2319,
19726,
2556,
2047,
6706,
7327,
3917,
5576,
2461,
10336,
12170,
27942,
16280,
2019,
16846,
2480,
3818,
1047,
15689,
2378,
13970,
5705,
2378,
2566,
2389,
2696,
16183,
3022,
4760,
3130,
2124,
5576,
7275,
2036,
7949,
2019,
16846,
2480,
21871,
8978,
2319,
19726,
2002,
28992,
4059,
2177,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1904.02903 | spm sparse modeling tool analytic continuation imaginary time green function present spm sparse modeling tool analytic continuation imaginary time green function licensed gnu general public license version quantum monte carlo simulation dynamic physical quantity single particle magnetic excitation spectrum obtained applying analytic continuation imaginary time data however analytic continuation ill conditioned inverse problem thus sensitive noise statistical error spm provides stable analytic continuation noise mean modern regularization technique automatically selects base contain relevant information unaffected noise paper detail use program show application | 4 | 579,499 | [
101,
11867,
2213,
20288,
11643,
6994,
23521,
13633,
15344,
2051,
2665,
3853,
2556,
11867,
2213,
20288,
11643,
6994,
23521,
13633,
15344,
2051,
2665,
3853,
7000,
27004,
2236,
2270,
6105,
2544,
8559,
10125,
9758,
12504,
8790,
3558,
11712,
2309,
10811,
8060,
4654,
26243,
3370,
8674,
4663,
11243,
23521,
13633,
15344,
2051,
2951,
2174,
23521,
13633,
5665,
22442,
19262,
3291,
2947,
7591,
5005,
7778,
7561,
11867,
2213,
3640,
6540,
23521,
13633,
5005,
2812,
2715,
3180,
3989,
6028,
8073,
27034,
2918,
5383,
7882,
2592,
24720,
5005,
3259,
6987,
2224,
2565,
2265,
4646,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2005.03855 | prenatal selection scarring effect pandemic influenza study us influenza pandemic japan newly digitized complete census record birth infant death sex ratio childhood analyze mortality selection utero persistency gender imbalance find fetal exposure pandemic influenza first trimester pregnancy period decrease proportion male birth period mechanism suggests decline male birth owing pandemic influenza led positive selection birth associated deterioration fetal infant health result support wide range previous literature long run adverse effect pandemic influenza consistent recent argument postnatal selection mechanism owing socioeconomic status parent negligible almond beach et al analysis using population census provide evidence suggesting postnatal influenza exposure long term impact sex ratio child aged thereby implying potential disturbance effect future marriage labor market | 6 | 108,043 | [
101,
3653,
19833,
2389,
4989,
11228,
4892,
3466,
6090,
3207,
7712,
24442,
2817,
2149,
24442,
6090,
3207,
7712,
2900,
4397,
15340,
3550,
3143,
2883,
2501,
4182,
10527,
2331,
3348,
6463,
5593,
17908,
13356,
4989,
21183,
10624,
29486,
11916,
5907,
10047,
26657,
2424,
25972,
7524,
6090,
3207,
7712,
24442,
2034,
12241,
20367,
10032,
2558,
9885,
10817,
3287,
4182,
2558,
7337,
6083,
6689,
3287,
4182,
11427,
6090,
3207,
7712,
24442,
2419,
3893,
4989,
4182,
3378,
26118,
25972,
10527,
2740,
2765,
2490,
2898,
2846,
3025,
3906,
2146,
2448,
15316,
3466,
6090,
3207,
7712,
24442,
8335,
3522,
6685,
2695,
19833,
2389,
4989,
7337,
11427,
17522,
23035,
3570,
6687,
11265,
25394,
18507,
26011,
3509,
3802,
2632,
4106,
2478,
2313,
2883,
3073,
3350,
9104,
2695,
19833,
2389,
24442,
7524,
2146,
2744,
4254,
3348,
6463,
2775,
4793,
8558,
20242,
4022,
16915,
3466,
2925,
3510,
4450,
3006,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2007.07431 | coco funit shot unsupervised image translation content conditioned style encoder unsupervised image image translation intends learn mapping image given domain analogous image different domain without explicit supervision mapping shot unsupervised image image translation attempt generalize model unseen domain leveraging example image unseen domain provided inference time remarkably successful existing shot image image translation model find difficult preserve structure input image emulating appearance unseen domain refer content loss problem particularly severe pose object input example image different address issue propose new shot image translation model coco funit computes style embedding example image conditioned input image new module called constant style bias extensive experimental validation comparison state art model show effectiveness addressing content loss problem code pretrained model please check | 0 | 261,318 | [
101,
25033,
4569,
4183,
2915,
4895,
6342,
4842,
11365,
2098,
3746,
5449,
4180,
22442,
2806,
4372,
16044,
2099,
4895,
6342,
4842,
11365,
2098,
3746,
3746,
5449,
18754,
4553,
12375,
3746,
2445,
5884,
19639,
3746,
2367,
5884,
2302,
13216,
10429,
12375,
2915,
4895,
6342,
4842,
11365,
2098,
3746,
3746,
5449,
3535,
2236,
4697,
2944,
16100,
5884,
15929,
16594,
2742,
3746,
16100,
5884,
3024,
28937,
2051,
17431,
3144,
4493,
2915,
3746,
3746,
5449,
2944,
2424,
3697,
7969,
3252,
7953,
3746,
7861,
10924,
3311,
16100,
5884,
6523,
4180,
3279,
3291,
3391,
5729,
13382,
4874,
7953,
2742,
3746,
2367,
4769,
3277,
16599,
2047,
2915,
3746,
5449,
2944,
25033,
4569,
4183,
24134,
2015,
2806,
7861,
8270,
4667,
2742,
3746,
22442,
7953,
3746,
2047,
11336,
2170,
5377,
2806,
13827,
4866,
6388,
27354,
7831,
2110,
2396,
2944,
2265,
12353,
12786,
4180,
3279,
3291,
3642,
3653,
23654,
2098,
2944,
3531,
4638,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1809.09033 | transfinite lyndon word paper extend notion lyndon word transfinite word prove two main result first show given transfinite word exists unique factorization lyndon word densely non increasing relaxation condition used case finite word annex prove factorization rational word special form computed rational expression describing word | 0 | 34,121 | [
101,
9099,
16294,
4221,
23037,
2773,
3259,
7949,
9366,
23037,
2773,
9099,
16294,
4221,
2773,
6011,
2048,
2364,
2765,
2034,
2265,
2445,
9099,
16294,
4221,
2773,
6526,
4310,
5387,
3989,
23037,
2773,
19441,
2512,
4852,
23370,
4650,
2109,
2553,
10713,
2773,
17827,
6011,
5387,
3989,
11581,
2773,
2569,
2433,
24806,
11581,
3670,
7851,
2773,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2002.10523 | co vegan complex valued generative adversarial network compressive sensing mr image reconstruction compressive sensing c widely used reduce acquisition time magnetic resonance imaging mri although state art deep learning based method able obtain fast high quality reconstruction c mr image main drawback treat complex valued mri data real valued entity method either extract magnitude complex valued entity concatenate two real valued channel case phase content link real imaginary part complex valued entity discarded order address fundamental problem real valued deep network ie inability process complex valued data propose novel framework based complex valued generative adversarial network co vegan model process complex valued input enables perform high quality reconstruction c mr image considering phase crucial component complex valued entity propose novel complex valued activation function sensitive phase input extensive evaluation proposed approach different datasets using various sampling mask demonstrates proposed model significantly outperforms existing c mri reconstruction technique term peak signal noise ratio well structural similarity index us significantly fewer trainable parameter compared real valued deep learning based method | 3 | 179,722 | [
101,
2522,
15942,
2078,
3375,
11126,
11416,
6024,
4748,
14028,
10980,
2140,
2897,
4012,
27484,
13851,
2720,
3746,
8735,
4012,
27484,
13851,
1039,
4235,
2109,
5547,
7654,
2051,
8060,
17011,
12126,
27011,
2348,
2110,
2396,
2784,
4083,
2241,
4118,
2583,
6855,
3435,
2152,
3737,
8735,
1039,
2720,
3746,
2364,
4009,
5963,
7438,
3375,
11126,
27011,
2951,
2613,
11126,
9178,
4118,
2593,
14817,
10194,
3375,
11126,
9178,
9530,
16280,
12556,
2048,
2613,
11126,
3149,
2553,
4403,
4180,
4957,
2613,
15344,
2112,
3375,
11126,
9178,
15105,
2344,
4769,
8050,
3291,
2613,
11126,
2784,
2897,
29464,
13720,
2832,
3375,
11126,
2951,
16599,
3117,
7705,
2241,
3375,
11126,
11416,
6024,
4748,
14028,
10980,
2140,
2897,
2522,
15942,
2078,
2944,
2832,
3375,
11126,
7953,
12939,
4685,
2152,
3737,
8735,
1039,
2720,
3746,
6195,
4403,
10232,
6922,
3375,
11126,
9178,
16599,
3117,
3375,
11126,
13791,
3853,
7591,
4403,
7953,
4866,
9312,
3818,
3921,
2367,
2951,
13462,
2015,
2478,
2536,
16227,
7308,
16691,
3818,
2944,
6022,
2041,
4842,
22694,
4493,
1039,
27011,
8735,
6028,
2744,
4672,
4742,
5005,
6463,
2092,
8332,
14402,
5950,
2149,
6022,
8491,
3345,
3085,
16381,
4102,
2613,
11126,
2784,
4083,
2241,
4118,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2001.05387 | primitive equation polluted atmosphere weak strong limit navier stokes equation downwind matching coordinate widely used approach mathematically describe atmosphere consider geophysical fluid shallow domain thus model using classical fluid dynamical equation combined explicit inclusion epsilon parameter representing small aspect ratio physical domain previous paper proved weak convergence theorem polluted atmosphere described navier stokes equation extended advection diffusion equation obtained justification generalised hydrostatic limit model including pollution effect described case classical east north upwards oriented local cartesian coordinate give two fold improvement statement firstly consider meteorologically meaningful coordinate system incorporate analytical consequence coordinate change governing equation verify weak convergence still hold altered system secondly still considering new called downwind matching coordinate system prove analogous strong convergence result make complete providing closely related existence theorem well | 1 | 735,015 | [
101,
10968,
8522,
8554,
12926,
7224,
5410,
2844,
5787,
6583,
14356,
18716,
8522,
2091,
11101,
9844,
13530,
4235,
2109,
3921,
8045,
2135,
6235,
7224,
5136,
20248,
23302,
8331,
8467,
5884,
2947,
2944,
2478,
4556,
8331,
8790,
2389,
8522,
4117,
13216,
10502,
28038,
16381,
5052,
2235,
7814,
6463,
3558,
5884,
3025,
3259,
4928,
5410,
19143,
9872,
8554,
12926,
7224,
2649,
6583,
14356,
18716,
8522,
3668,
4748,
3726,
7542,
19241,
8522,
4663,
19777,
2236,
5084,
18479,
16677,
5787,
2944,
2164,
10796,
3466,
2649,
2553,
4556,
2264,
2167,
14873,
8048,
2334,
11122,
25253,
13530,
2507,
2048,
10671,
7620,
4861,
15847,
5136,
20557,
2135,
15902,
13530,
2291,
13265,
17826,
9509,
13530,
2689,
8677,
8522,
20410,
5410,
19143,
2145,
2907,
8776,
2291,
16378,
2145,
6195,
2047,
2170,
2091,
11101,
9844,
13530,
2291,
6011,
19639,
2844,
19143,
2765,
2191,
3143,
4346,
4876,
3141,
4598,
9872,
2092,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1907.08381 | non orthogonal multiple access spatial modulation downlink coordinated multipoint transmission paper joint transmission coordinated multi point based non orthogonal multiple access jt comp noma combined spatial modulation sm termed jt comp noma sm proposed enhance capacity user capacity ergodic sum capacity esc number coordinated multi point base station comp bs within number cell analyzed considering imperfect successive interference cancellation sic imperfect channel state information csi performance proposed syatem compared non orthogonal multiple access noma joint transmission coordinated multi point combined virtual user pairing based non orthogonal multiple access jt comp vp noma simulation analysis result show proposed system cell center user ccu capacity compared jt comp vp noma higher cell edge user ceu capacity scheme esc proposed system outperforms scheme due enhancing ceu capacity imperfect sic imperfect csi may degrade capacity proposed system maintain ceu capacity better scheme number cell increased happens sm work beyond shannon upper bound mitigate inter cell interference ici | 1 | 720,375 | [
101,
2512,
28721,
3674,
3229,
13589,
25502,
2091,
13767,
14206,
4800,
8400,
6726,
3259,
4101,
6726,
14206,
4800,
2391,
2241,
2512,
28721,
3674,
3229,
1046,
2102,
4012,
2361,
2053,
2863,
4117,
13589,
25502,
15488,
12061,
1046,
2102,
4012,
2361,
2053,
2863,
15488,
3818,
11598,
3977,
5310,
3977,
9413,
3995,
14808,
7680,
3977,
9686,
2278,
2193,
14206,
4800,
2391,
2918,
2276,
4012,
2361,
18667,
2306,
2193,
3526,
16578,
6195,
29238,
11165,
11099,
16990,
14387,
29238,
3149,
2110,
2592,
22174,
2836,
3818,
25353,
3686,
2213,
4102,
2512,
28721,
3674,
3229,
2053,
2863,
4101,
6726,
14206,
4800,
2391,
4117,
7484,
5310,
22778,
2241,
2512,
28721,
3674,
3229,
1046,
2102,
4012,
2361,
21210,
2053,
2863,
12504,
4106,
2765,
2265,
3818,
2291,
3526,
2415,
5310,
10507,
2226,
3977,
4102,
1046,
2102,
4012,
2361,
21210,
2053,
2863,
3020,
3526,
3341,
5310,
8292,
2226,
3977,
5679,
9686,
2278,
3818,
2291,
2041,
4842,
22694,
5679,
2349,
20226,
8292,
2226,
3977,
29238,
14387,
29238,
22174,
2089,
2139,
24170,
3977,
3818,
2291,
5441,
8292,
2226,
3977,
2488,
5679,
2193,
3526,
3445,
6433,
15488,
2147,
3458,
10881,
3356,
5391,
10210,
28731,
6970,
3526,
11099,
24582,
2072,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
2108.00791 | dissipative localized state breather phase mismatched singly resonant optical parametric oscillator bifurcation structure stability study emergence dissipative localized state phase mismatched singly resonant optical parametric oscillator state arise two different bistable configuration due locking front wave connecting two coexisting state one configuration bistabiity mediated coexistence two uniform state localized state organized collapsed snaking bifurcation structure moreover state undergo oscillatory instability lead breathing behavior bistability related coexistence uniform state spatially periodic pattern localized state organized bifurcation structure similar standard homoclinic snaking performing exhaustive bifurcation analysis characterize detail previous structure linear stability modification dynamic function control parameter system | 8 | 480,281 | [
101,
4487,
18719,
24952,
3726,
22574,
2110,
7200,
2099,
4403,
28616,
18900,
7690,
6170,
2135,
24501,
7856,
3372,
9380,
11498,
12589,
9808,
6895,
4571,
4263,
12170,
27942,
10719,
3252,
9211,
2817,
14053,
4487,
18719,
24952,
3726,
22574,
2110,
4403,
28616,
18900,
7690,
6170,
2135,
24501,
7856,
3372,
9380,
11498,
12589,
9808,
6895,
4571,
4263,
2110,
13368,
2048,
2367,
20377,
10880,
9563,
2349,
14889,
2392,
4400,
7176,
2048,
24873,
9048,
16643,
3070,
2110,
2028,
9563,
20377,
2696,
5638,
3012,
19872,
24873,
9048,
16173,
3401,
2048,
6375,
2110,
22574,
2110,
4114,
7798,
1055,
2532,
6834,
12170,
27942,
10719,
3252,
9308,
2110,
13595,
9808,
6895,
4571,
7062,
18549,
2599,
5505,
5248,
20377,
2696,
8553,
3141,
24873,
9048,
16173,
3401,
6375,
2110,
13589,
2135,
15861,
5418,
22574,
2110,
4114,
12170,
27942,
10719,
3252,
2714,
3115,
24004,
20464,
5498,
2278,
1055,
2532,
6834,
4488,
15095,
3512,
12170,
27942,
10719,
4106,
2839,
4697,
6987,
3025,
3252,
7399,
9211,
14080,
8790,
3853,
2491,
16381,
2291,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
1911.09549 | learning invert pseudo spectral data seismic waveform inversion full waveform inversion fwi widely used technique seismic processing produce high resolution earth model fully explain recorded seismic data fwi local optimisation problem aim minimise least square sense misfit recorded modelled data inversion process begin best guess initial model iteratively improved using sequence linearised local inversion solve fully non linear problem deep learning gained widespread popularity new millennium core tool neural network nn particular deep neural network dnn variant original nn algorithm significantly hidden layer resulting efficient learning non linear functional input output pair learning process within dnn involves iteratively updating network neuron weight best approximate input output mapping clearly similarity fwi dnn approach attempt solve non linear mapping iterative sense however fundamentally different former knowledge driven whereas latter data driven article proposes novel approach learns pseudo spectral data driven fwi test methodology training dnn multi layer horizontally isotropic data apply previously unseen data infer surface velocity result compared synthetic model successfulness failure approach hence identified | 3 | 573,839 | [
101,
4083,
1999,
16874,
18404,
17435,
2951,
22630,
4400,
14192,
28527,
2440,
4400,
14192,
28527,
1042,
9148,
4235,
2109,
6028,
22630,
6364,
3965,
2152,
5813,
3011,
2944,
3929,
4863,
2680,
22630,
2951,
1042,
9148,
2334,
23569,
27605,
26652,
3291,
6614,
7163,
28732,
2560,
2675,
3168,
28616,
8873,
2102,
2680,
23364,
2951,
28527,
2832,
4088,
2190,
3984,
3988,
2944,
2009,
25284,
2135,
5301,
2478,
5537,
7399,
5084,
2334,
28527,
9611,
3929,
2512,
7399,
3291,
2784,
4083,
4227,
6923,
6217,
2047,
10144,
4563,
6994,
15756,
2897,
1050,
2078,
3327,
2784,
15756,
2897,
1040,
10695,
8349,
2434,
1050,
2078,
9896,
6022,
5023,
6741,
4525,
8114,
4083,
2512,
7399,
8360,
7953,
6434,
3940,
4083,
2832,
2306,
1040,
10695,
7336,
2009,
25284,
2135,
2039,
16616,
2897,
11265,
21017,
3635,
2190,
15796,
7953,
6434,
12375,
4415,
14402,
1042,
9148,
1040,
10695,
3921,
3535,
9611,
2512,
7399,
12375,
2009,
25284,
3168,
2174,
24670,
2367,
2280,
3716,
5533,
6168,
3732,
2951,
5533,
3720,
17146,
3117,
3921,
10229,
18404,
17435,
2951,
5533,
1042,
9148,
3231,
16134,
2731,
1040,
10695,
4800,
6741,
23190,
11163,
13181,
24330,
2951,
6611,
3130,
16100,
2951,
1999,
7512,
3302,
10146,
2765,
4102,
12553,
2944,
3144,
2791,
4945,
3921,
6516,
4453,
102
] | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
End of preview. Expand
in Dataset Viewer.
No dataset card yet
- Downloads last month
- 9