Near-Optimal Compressive Binary Search
  We propose a simple modification to the recently proposed compressive binary search. The modification removes an unnecessary and suboptimal factor of log log n from the SNR requirement, making the procedure optimal (up to a small constant). Simulations show that the new procedure performs significantly better in practice as well. We also contrast this problem with the more well known problem of noisy binary search. 
Matthew L. Malloy, Robert D. Nowak
cs.IT math.IT