Experimental layer-wise + pruned (layers 4 and 5) quantization of mistralai/Mistral-Small-3.2-24B-Instruct-2506

Using LLaMA C++ release b5890 for quantization.

Original model: mistralai/Mistral-Small-3.2-24B-Instruct-2506

From the original model creators:

Mistral-Small-3.2-24B-Instruct-2506 is a minor update of Mistral-Small-3.1-24B-Instruct-2503.

Small-3.2 improves in the following categories:

  • Instruction following: Small-3.2 is better at following precise instructions
  • Repetition errors: Small-3.2 produces less infinite generations or repetitive answers
  • Function calling: Small-3.2's function calling template is more robust (see here and examples)

In all other categories Small-3.2 should match or slightly improve compared to Mistral-Small-3.1-24B-Instruct-2503.

PLEASE READ THIS BEFORE USING THESE EXPERIMENTAL VERSIONS!

An area of personal interest is finding ways to optimize the inference performance of LLMs when deployed in resource-constrained environments like commodity hardware, desktops, laptops, mobiles, edge devices, etc. There are many approaches to accomplish this, including architecture simplification and knowledge distillation, but my focus has been primarily on quantization and pruning.

The method used to produce these experimental versions is covered in Squeezing Tensor Bits: the quest for smaller LLMs, but at a high level it involves using a custom version of llama-imatrix to identify influential tensors, quantize the most important layers to higher bit precision and the less important to lower bits, and remove (prune) one or more layers. This process was partly inspired by Dumitru's et al Layer-Wise Quantization: A Pragmatic and Effective Method for Quantizing LLMs Beyond Integer Bit-Levels, and Xin Men's et al ShortGPT: Layers in Large Language Models are More Redundant Than You Expect.

As of version b5125, llama-quantize can perform tensor-wide quantization (TWQ), whereby user-defined tensors are quantized at a specific level, or perform layer-wise quantization (LWQ) by selecting different quantization types per tensor/layer. For example, --tensor-type attn_v=q6_k will quantize all Attention Value tensors at q6_k (TWQ), and --tensor-type "\.([0-9]|1[01257]|31)\.attn_k=q4_k" will quantize Attention Key tensors on layers 0 to 9, 10, 11, 12, 15, 17 and 31 at q4_k, leaving the remaining layers at their default value (LWQ).

As of version b5740, llama-quantize can also prune models during quantisation by providing a comma-separated list in the --prune-layers command line option. The pruning operation will renumber remaining layers to avoid gaps in the sequence, update the relevant model metadata and, if an imatrix is available, it will use the correct importance score vector. This option can be used alongside --tensor-type to perform tensor/layer-wise quantization on selected tensor types, whilst at the same time pruning others. For example:

llama-quantize --tensor-type attn=q6_k --prune-layers 3,7,11 --imatrix imatrix.dat model-f32.gguf model-q4_k_m.gguf q4_k_m

An enhanced version of llama-imatrix generates useful statistics to guide the tensor and layer selection process. --show-statistics will display:

  • Σ(Act²): the sum of all squared activations over the tensor (i.e. the Importance Scores)
  • Min & Max: minimum and maximum squared activation values
  • μ & σ: activations' mean and standard deviation
  • % Active: proportion of elements whose average squared activation exceeds a very small threshold (1e-5). Helpful to determine how alive/dormant the tensor is during inference
  • N: number of squared activations in the tensor
  • Entropy: entropy of the squared activation distribution, in bits (standard Shannon entropy measurement)
  • E (norm): Normalized entropy.
  • ZD Score: z-score distribution as described in 3.1 Layer Importance Scores in the Layer-Wise Quantization paper
  • CosSim: cosine similarity between same type tensors with respect to the previous layer (i.e. blk.7.attn_k and blk.6.attn_k)

Please note that statistics are calculated for each individual tensor and should be used to compare between tensors of the same type only. For example, assuming that attn_k in layer 10 has a higher influence during inference than attn_k in layer 7 because its Σ(Act²) is larger makes sense, whilst concluding the same between attn_k and ffn_down does not.

There’s a pull request to merge these changes back into the core llama.cpp project. This may or may not ever happen so, until then, the modified version will be available on GitHub.

For testing and comparison I use models produced by Unsloth (Daniel and Michael Han do some really advanced level stuff!) and Bartowski (see credits below) but if they don't provide versions of the required model, all tests and comparisons are done against naive quantizations obtained by simply running llama-quantize with no further optimization.

All experimental versions were generated using an appropriate imatrix created from calibration datasets available at eaddario/imatrix-calibration. At its core, an Importance Matrix (imatrix) is a table or, more broadly, a structured representation that scores the relative importance of different features or parameters in a machine learning model. It essentially quantifies the "impact" each feature has on a specific outcome, prediction, or relationship being modelled, and it helps to counterbalance the negative effects of quantization and pruning.

The process to generate these models is roughly as follows:

  1. Convert the original model's tensors to GGUF F16*
  2. Estimate the Perplexity score for the F16 model (baseline) using the wikitext-2-raw-v1 dataset, and save the logits
  3. Generate an imatrix from selected calibration datasets
  4. Determine tensor and layer Importance Score contribution using the enhanced version of llama-imatrix
  5. Select an appropriate quant level for each tensor and quantize/prune the model using llama-quantize. In this model's case, layers 4 and 5 have been pruned
  6. Calculate Perplexity, KL Divergence, ARC (Easy+Challenge), HellaSwag, MMLU, Truthful QA and WinoGrande scores for each quantized model
  7. Keep versions with the best scores
  8. Repeat until all desired quants are created. I find that quantizations below Q3/IQ3 are not fit for my purposes and therefore do not usually generate them, but happy to provide other quants on request.

*BF16 would be preferred, but Apple's GPUs don't support it yet, and therefore any operations are executed in the CPU, making it unacceptably slow. This is expected to change in the near term but until then, if you are using Apple kit avoid using any models tagged BF16

Models

Sizes (in GB)

Bits per Weight, Perplexity and KL Divergence scores

Model BPW μPPL 𝜌PPL μKLD RMS Δp
Mistral-Small-3.2-24B-Instruct-2506-pruned-IQ3_M 3.6735 25.645736 ±0.214748 95.06% 0.286497 ±0.002130 12.354 ±0.058
Mistral-Small-3.2-24B-Instruct-2506-pruned-IQ3_S 3.4052 32.512225 ±0.267969 91.81% 0.484943 ±0.002308 17.076 ±0.062
Mistral-Small-3.2-24B-Instruct-2506-pruned-IQ4_NL 4.4435 25.450410 ±0.199570 96.78% 0.173444 ±0.001426 11.165 ±0.051
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q3_K_L 3.8705 24.405174 ±0.195423 95.33% 0.248285 ±0.001640 12.606 ±0.056
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q3_K_M 3.5467 24.750046 ±0.198446 94.92% 0.273478 ±0.001716 13.182 ±0.057
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q3_K_S 3.2060 25.982356 ±0.208609 92.33% 0.410016 ±0.002211 15.977 ±0.062
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M 4.4492 21.411111 ±0.170166 98.21% 0.092796 ±0.001164 7.244 ±0.048
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M-bartowski 4.8620 5.162781 ±0.029306 99.42% 0.022338 ±0.000204 4.694 ±0.046
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M-unsloth 4.8620 5.163345 ±0.029336 99.43% 0.022240 ±0.000199 4.648 ±0.045
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_S 4.1390 21.835641 ±0.173204 97.63% 0.126128 ±0.001376 8.429 ±0.051
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q5_K_M 5.4555 20.724451 ±0.164266 99.25% 0.035047 ±0.000830 4.125 ±0.051
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q5_K_S 5.1466 20.733047 ±0.164062 99.11% 0.042653 ±0.000923 4.585 ±0.050
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q6_K 6.7205 20.450270 ±0.161987 99.58% 0.016946 ±0.000664 2.585 ±0.062
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q8_0 7.2324 20.469495 ±0.162108 99.63% 0.014037 ±0.000644 2.279 ±0.073
Mistral-Small-3.2-24B-Instruct-2506-pruned-F16 16.0003 20.457257 ±0.161275 100% N/A N/A

ARC, HellaSwag, MMLU, Truthful QA and WinoGrande scores

Scores generated using llama-perplexity with 750 tasks per test, and a context size of 768 tokens.

For the test data used in the generation of these scores, follow the appropiate links: HellaSwag, ARC, MMLU, Truthful QA and WinoGrande

Model ARC HellaSwag MMLU Truthful QA WinoGrande Avg Score
Mistral-Small-3.2-24B-Instruct-2506-pruned-IQ3_M 65.3333 ±1.7389 80.00 39.6000 ±1.7870 35.0667 ±1.7436 70.9333 ±1.6591 58.19
Mistral-Small-3.2-24B-Instruct-2506-pruned-IQ3_S 62.2667 ±1.7711 78.00 39.4667 ±1.7860 36.1333 ±1.7553 72.9333 ±1.6235 57.76
Mistral-Small-3.2-24B-Instruct-2506-pruned-IQ4_NL 62.4000 ±1.7699 79.47 41.4667 ±1.8002 37.4667 ±1.7686 71.3333 ±1.6523 58.43
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q3_K_L 64.0000 ±1.7539 77.20 41.4667 ±1.8002 36.8000 ±1.7621 72.8000 ±1.6260 58.45
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q3_K_M 64.4000 ±1.7496 77.60 40.8000 ±1.7958 36.9333 ±1.7635 72.9333 ±1.6235 58.53
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q3_K_S 61.0667 ±1.7816 77.87 40.9333 ±1.7967 38.2667 ±1.7759 72.0000 ±1.6406 58.03
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M 62.0000 ±1.7736 79.33 41.7333 ±1.8018 39.2000 ±1.7838 71.4667 ±1.6500 58.75
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M-bartowski 67.0667 ±1.7172 83.60 45.7333 ±1.8203 36.2667 ±1.7567 79.4667 ±1.4760 62.43
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M-unsloth 66.6667 ±1.7225 84.00 45.8667 ±1.8207 35.7333 ±1.7510 79.3333 ±1.4795 62.32
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_S 62.9333 ±1.7648 78.40 40.4000 ±1.7930 38.5333 ±1.7783 71.0667 ±1.6569 58.27
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q5_K_M 62.5333 ±1.7686 79.46 41.3333 ±1.7993 38.1333 ±1.7748 72.5333 ±1.6309 58.80
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q5_K_S 63.0667 ±1.7635 79.46 40.9333 ±1.7967 38.5333 ±1.7783 72.2667 ±1.6358 58.85
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q6_K 62.6667 ±1.7674 78.80 41.0667 ±1.7976 37.4667 ±1.7686 72.1333 ±1.6382 58.43
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q8_0 62.2667 ±1.7711 79.60 41.0667 ±1.7976 37.4667 ±1.7686 72.4000 ±1.6334 58.56
Mistral-Small-3.2-24B-Instruct-2506-pruned-F16 61.7333 ±1.7759 79.73 40.8000 ±1.7958 37.4667 ±1.7686 72.4000 ±1.6334 58.43

Tokens per Second - Benchmarks

Scores generated using llama-bench. Naive (llama-quantize with no optimization) Q4_K_M quantization included for comparison.

model size params backend threads test t/s
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M 11.63 GiB 22.46 B Metal,BLAS 12 pp512 263.08 ±7.40
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M 11.63 GiB 22.46 B Metal,BLAS 12 tg128 28.03 ±0.32
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M 11.63 GiB 22.46 B Metal,BLAS 12 pp1024+tg1024 47.14 ±0.37
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M-bartowski 13.34 GiB 23.57 B Metal,BLAS 12 pp512 247.65 ±20.10
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M-bartowski 13.34 GiB 23.57 B Metal,BLAS 12 tg128 27.68 ±1.07
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M-bartowski 13.34 GiB 23.57 B Metal,BLAS 12 pp1024+tg1024 45.66 ±0.10
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M-unsloth 13.34 GiB 23.57 B Metal,BLAS 12 pp512 253.28 ±16.91
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M-unsloth 13.34 GiB 23.57 B Metal,BLAS 12 tg128 27.75 ±0.79
Mistral-Small-3.2-24B-Instruct-2506-pruned-Q4_K_M-unsloth 13.34 GiB 23.57 B Metal,BLAS 12 pp1024+tg1024 45.62 ±0.14

Metrics used

Perplexity: one of the key metrics used in NLP evaluation. It measures the quality of a language model by evaluating how well it predicts the next token given a particular sequence of words. A PPL of 1 indicates an exact match between predicted and actual, whereas values greater than one indicate a degree of "surprise" the generated token differs from the expected.

Kullback–Leibler (KL) Divergence: a statistical measure of how much a probability distribution differs from another. When quantizing models (or altering the original tensors in any way for that matter), the closest we can preserve the weights' probability distribution to the original model the better, thus the closest to 0 the better.

AI2 Reasoning Challenge (ARC): a benchmark to evaluate the ability of AI models to answer complex science questions that require logical reasoning beyond pattern matching.

HellaSwag: the Harder Endings, Longer contexts, and Low-shot Activities for Situations With Adversarial Generations (bit of a mouthful!) is a benchmark designed to test commonsense natural language inference. It requires the model to predict the most likely ending of a sentence.

MMLU: the Massive Multitask Language Understanding evaluates LLMs’ general knowledge and problem-solving abilities across 57 subjects, including elementary mathematics, US history, computer science, and law.

Truthful QA: evaluates how well LLMs generate truthful responses to questions. It identifies whether AI models can avoid generating false or misleading information, particularly in areas where human knowledge is prone to misconceptions.

Winogrande: based on the Winograd Schema Challenge, is a natural language understanding task requiring models to resolve ambiguities in sentences involving pronoun references.

Credits

LLaMa C++ has a large and vibrant community of contributors (~1,200 last time I checked) that actively maintain and extend its functionality, adding new models and architectures almost as fast as they appear (considering the breakneck speed at which the AI/ML field is advancing, this alone is a remarkable feat!), and whilst I'm grateful to each and everyone of them, I want to recognise three people in particular: Thank You! Colin Kealty for the many contributions and for being one of the best sources of high quality quantized models available on Hugging Face, and a really big Thank You! to Georgi Gerganov for his amazing work with llama.cpp and the ggml/gguf libraries, and Iwan Kawrakow for being one of the key authors behind the many quantisation algorithms and the imatrix functionality.

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