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math.ST2022★ 1 cited
Gaussian Mean Testing Made Simple
Ilias Diakonikolas, Daniel M. Kane, Ankit Pensia
We study the following fundamental hypothesis testing problem, which we term Gaussian mean testing. Given i.i.d. samples from a distribution on , the task is to d…
math.ST2021
Sharp Concentration Inequalities for the Centered Relative Entropy
Alankrita Bhatt, Ankit Pensia
We study the relative entropy between the empirical estimate of a discrete distribution and the true underlying distribution. If the minimum value of the probability mass function…
math.ST2020
Outlier Robust Mean Estimation with Subgaussian Rates via Stability
Ilias Diakonikolas, Daniel M. Kane, Ankit Pensia
We study the problem of outlier robust high-dimensional mean estimation under a finite covariance assumption, and more broadly under finite low-degree moment assumptions. We consid…