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20072025
most citedThe Approximate Capacity of the Many-to-One and One-to-Many Gaussian Interference Channels

354 citations · 806 across the 36 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.PR2019

Phase Transitions for Detecting Latent Geometry in Random Graphs

Matthew Brennan, Guy Bresler, Dheeraj Nagaraj

Random graphs with latent geometric structure are popular models of social and biological networks, with applications ranging from network user profiling to circuit design. These g…

cs.CC2019★ 8 cited

Average-Case Lower Bounds for Learning Sparse Mixtures, Robust Estimation and Semirandom Adversaries

Matthew Brennan, Guy Bresler

This paper develops several average-case reduction techniques to show new hardness results for three central high-dimensional statistics problems, implying a statistical-computatio…

cs.CC2019

The Average-Case Complexity of Counting Cliques in Erdos-Renyi Hypergraphs

Enric Boix-Adserà, Matthew Brennan, Guy Bresler

We consider the problem of counting -cliques in -uniform Erdos-Renyi hypergraphs with edge density , and show that its fine-grained average-case complexity can…

cs.CC2019★ 20 cited

Optimal Average-Case Reductions to Sparse PCA: From Weak Assumptions to Strong Hardness

Matthew Brennan, Guy Bresler

In the past decade, sparse principal component analysis has emerged as an archetypal problem for illustrating statistical-computational tradeoffs. This trend has largely been drive…

math.ST2019★ 10 cited

Universality of Computational Lower Bounds for Submatrix Detection

Matthew Brennan, Guy Bresler, Wasim Huleihel

In the general submatrix detection problem, the task is to detect the presence of a small submatrix with entries sampled from a distribution in an $n \ti…