Samuel B. Hopkins | DeepAI

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Ilias Diakonikolas
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Gautam Kamath
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Aviad Rubinstein
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Guy Bresler
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Alexander S. Wein
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Ilias Zadik
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Pravesh K. Kothari
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Afonso S. Bandeira
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David Steurer
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∙ 12/09/2022

Robustness Implies Privacy in Statistical Estimation

We study the relationship between adversarial robustness and differentia...

0 Samuel B. Hopkins, et al. ∙

∙ 11/01/2022

Privacy Induces Robustness: Information-Computation Gaps and Sparse Mean Estimation

We establish a simple connection between robust and differentially-priva...

0 Kristian Georgiev, et al. ∙

∙ 05/19/2022

The Franz-Parisi Criterion and Computational Trade-offs in High Dimensional Statistics

Many high-dimensional statistical inference problems are believed to pos...

0 Afonso S. Bandeira, et al. ∙

∙ 03/05/2022

A Robust Spectral Algorithm for Overcomplete Tensor Decomposition

We give a spectral algorithm for decomposing overcomplete order-4 tensor...

6 Samuel B. Hopkins, et al. ∙

∙ 11/25/2021

Efficient Mean Estimation with Pure Differential Privacy via a Sum-of-Squares Exponential Mechanism

We give the first polynomial-time algorithm to estimate the mean of a d-...

0 Samuel B. Hopkins, et al. ∙

∙ 10/19/2021

Matrix Discrepancy from Quantum Communication

We develop a novel connection between discrepancy minimization and (quan...

0 Samuel B. Hopkins, et al. ∙

∙ 09/13/2020

Statistical Query Algorithms and Low-Degree Tests Are Almost Equivalent

Researchers currently use a number of approaches to predict and substant...

11 Matthew Brennan, et al. ∙

∙ 08/31/2020

Estimating Rank-One Spikes from Heavy-Tailed Noise via Self-Avoiding Walks

We study symmetric spiked matrix models with respect to a general class ...

0 Jingqiu Ding, et al. ∙

∙ 07/31/2020

Robust and Heavy-Tailed Mean Estimation Made Simple, via Regret Minimization

We study the problem of estimating the mean of a distribution in high di...

9 Samuel B. Hopkins, et al. ∙

∙ 07/21/2020

Smoothed Complexity of 2-player Nash Equilibria

We prove that computing a Nash equilibrium of a two-player (n × n) game ...

0 Shant Boodaghians, et al. ∙

∙ 05/13/2020

Robustly Learning any Clusterable Mixture of Gaussians

We study the efficient learnability of high-dimensional Gaussian mixture...

6 Ilias Diakonikolas, et al. ∙

∙ 12/23/2019

Algorithms for Heavy-Tailed Statistics: Regression, Covariance Estimation, and Beyond

We study efficient algorithms for linear regression and covariance estim...

0 Yeshwanth Cherapanamjeri, et al. ∙

∙ 11/23/2019

Subexponential LPs Approximate Max-Cut

We show that for every ε > 0, the degree-n^ε Sherali-Adams linear progra...

0 Samuel B. Hopkins, et al. ∙

∙ 06/26/2019

Quantum Entropy Scoring for Fast Robust Mean Estimation and Improved Outlier Detection

We study two problems in high-dimensional robust statistics: robust mean...

0 Yihe Dong, et al. ∙

∙ 03/19/2019

How Hard Is Robust Mean Estimation?

Robust mean estimation is the problem of estimating the mean μ∈R^d of a ...

0 Samuel B. Hopkins, et al. ∙

∙ 09/19/2018

Mean Estimation with Sub-Gaussian Rates in Polynomial Time

We study polynomial time algorithms for estimating the mean of a heavy-t...

0 Samuel B. Hopkins, et al. ∙

∙ 09/19/2018

Sub-Gaussian Mean Estimation in Polynomial Time

We study polynomial time algorithms for estimating the mean of a random ...

0 Samuel B. Hopkins, et al. ∙

∙ 11/20/2017

Mixture Models, Robustness, and Sum of Squares Proofs

We use the Sum of Squares method to develop new efficient algorithms for...

0 Samuel B. Hopkins, et al. ∙

∙ 10/13/2017

The power of sum-of-squares for detecting hidden structures

We study planted problems---finding hidden structures in random noisy in...

0 Samuel B. Hopkins, et al. ∙

∙ 09/30/2017

Bayesian estimation from few samples: community detection and related problems

We propose an efficient meta-algorithm for Bayesian estimation problems ...

0 Samuel B. Hopkins, et al. ∙

∙ 12/08/2015

Fast spectral algorithms from sum-of-squares proofs: tensor decomposition and planted sparse vectors

We consider two problems that arise in machine learning applications: th...

0 Samuel B. Hopkins, et al. ∙