27 citations · 61 across the 27 of their papers we have counts for
4 papers · 1 filter
Near-Optimal Algorithms for Gaussians with Huber Contamination: Mean Estimation and Linear Regression
Ilias Diakonikolas, Daniel M. Kane, Ankit Pensia +1
We study the fundamental problems of Gaussian mean estimation and linear regression with Gaussian covariates in the presence of Huber contamination. Our main contribution is the de…
Nearly-Linear Time and Streaming Algorithms for Outlier-Robust PCA
Ilias Diakonikolas, Daniel M. Kane, Ankit Pensia +1
We study principal component analysis (PCA), where given a dataset in from a distribution, the task is to find a unit vector that approximately maximizes the var…
A Spectral Algorithm for List-Decodable Covariance Estimation in Relative Frobenius Norm
Ilias Diakonikolas, Daniel M. Kane, Jasper C. H. Lee +2
We study the problem of list-decodable Gaussian covariance estimation. Given a multiset of points in such that an unknown fraction of points in ar…
Simple Binary Hypothesis Testing under Local Differential Privacy and Communication Constraints
Ankit Pensia, Amir R. Asadi, Varun Jog +1
We study simple binary hypothesis testing under both local differential privacy (LDP) and communication constraints. We qualify our results as either minimax optimal or instance op…