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08/23/2023
Explicit separations between randomized and deterministic Number-on-Forehead communication
We study the power of randomness in the Number-on-Forehead (NOF) model i...
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05/26/2023
Feature Adaptation for Sparse Linear Regression
Sparse linear regression is a central problem in high-dimensional statis...
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04/20/2023
Learning Narrow One-Hidden-Layer ReLU Networks
We consider the well-studied problem of learning a linear combination of...
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08/24/2022
Resolving Matrix Spencer Conjecture Up to Poly-logarithmic Rank
We give a simple proof of the matrix Spencer conjecture up to poly-logar...
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04/25/2022
Smoothed Analysis of the Komlós Conjecture
The well-known Komlós conjecture states that given n vectors in ℝ^d with...
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03/05/2022
Distributional Hardness Against Preconditioned Lasso via Erasure-Robust Designs
Sparse linear regression with ill-conditioned Gaussian random designs is...
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02/10/2022
Hardness of Noise-Free Learning for Two-Hidden-Layer Neural Networks
We give superpolynomial statistical query (SQ) lower bounds for learning...
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01/18/2022
Minimax Optimality (Probably) Doesn't Imply Distribution Learning for GANs
Arguably the most fundamental question in the theory of generative adver...
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11/13/2021
Prefix Discrepancy, Smoothed Analysis, and Combinatorial Vector Balancing
A well-known result of Banaszczyk in discrepancy theory concerns the pre...
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11/08/2021
Efficiently Learning Any One Hidden Layer ReLU Network From Queries
Model extraction attacks have renewed interest in the classic problem of...
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06/17/2021
On the Power of Preconditioning in Sparse Linear Regression
Sparse linear regression is a fundamental problem in high-dimensional st...
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03/25/2021
Random restrictions and PRGs for PTFs in Gaussian Space
A polynomial threshold function (PTF) f:ℝ^n →ℝ is a function of the form...
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09/28/2020
Learning Deep ReLU Networks Is Fixed-Parameter Tractable
We consider the problem of learning an unknown ReLU network with respect...
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07/21/2020
Online Discrepancy Minimization for Stochastic Arrivals
In the stochastic online vector balancing problem, vectors v_1,v_2,…,v_T...
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04/28/2020
Learning Polynomials of Few Relevant Dimensions
Polynomial regression is a basic primitive in learning and statistics. I...
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10/30/2019
Balancing Gaussian vectors in high dimension
Motivated by problems in controlled experiments, we study the discrepanc...
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05/28/2019
Average Bias and Polynomial Sources
We identify a new notion of pseudorandomness for randomness sources, whi...
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05/03/2019
Learning Some Popular Gaussian Graphical Models without Condition Number Bounds
Gaussian Graphical Models (GGMs) have wide-ranging applications in machi...
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10/08/2018
On the discrepancy of random low degree set systems
Motivated by the celebrated Beck-Fiala conjecture, we consider the rando...
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06/11/2018
Pseudorandom Generators for Width-3 Branching Programs
We construct pseudorandom generators of seed length Õ((n)·(1/ϵ)) that ϵ-...
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03/08/2018
Efficient Algorithms for Outlier-Robust Regression
We give the first polynomial-time algorithm for performing linear or pol...
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02/07/2018