55 citations · 229 across the 16 of their papers we have counts for
20 papers
Instance-dependent uniform tail bounds for empirical processes
Sohail Bahmani
We formulate a uniform tail bound for empirical processes indexed by a class of functions, in terms of the individual deviations of the functions rather than the worst-case deviati…
Decentralized Feature-Distributed Optimization for Generalized Linear Models
Brighton Ancelin, Sohail Bahmani, Justin Romberg
We consider the "all-for-one" decentralized learning problem for generalized linear models. The features of each sample are partitioned among several collaborating agents in a conn…
Max-Linear Regression by Convex Programming
Seonho Kim, Sohail Bahmani, Kiryung Lee
We consider the multivariate max-linear regression problem where the model parameters need to be estimated from inde…
Low-Rank Matrix Estimation From Rank-One Projections by Unlifted Convex Optimization
Sohail Bahmani, Kiryung Lee
We study an estimator with a convex formulation for recovery of low-rank matrices from rank-one projections. Using initial estimates of the factors of the target ma…
Nearly Optimal Robust Mean Estimation via Empirical Characteristic Function
Sohail Bahmani
We propose an estimator for the mean of random variables in separable real Banach spaces using the empirical characteristic function. Assuming that the covariance operator of the r…
Phase Retrieval of Low-Rank Matrices by Anchored Regression
Kiryung Lee, Sohail Bahmani, Yonina Eldar +1
We study the low-rank phase retrieval problem, where we try to recover a low-rank matrix from a series of phaseless linear measurements. This is a fourth-order inve…