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math.ST2021
The Impossibility Region for Detecting Sparse Mixtures using the Higher Criticism
David L. Donoho, Alon Kipnis
Consider a multiple hypothesis testing setting involving rare/weak effects: relatively few tests, out of possibly many, deviate from their null hypothesis behavior. Summarizing the…
math.ST2017
Mean Estimation from Adaptive One-bit Measurements
Alon Kipnis, John C. Duchi
We consider the problem of estimating the mean of a normal distribution under the following constraint: the estimator can access only a single bit from each sample from this distri…