activity
20062024
most citedHypercontractivity, Sum-of-Squares Proofs, and their Applications

193 citations · 529 across the 33 of their papers we have counts for

collaborators

44 papers

cs.DS2024

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures

Prashanti Anderson, Mitali Bafna, Rares-Darius Buhai +2

We develop a new approach for clustering non-spherical (i.e., arbitrary component covariances) Gaussian mixture models via a subroutine, based on the sum-of-squares method, that fi…

cs.LG2024

Robust Mixture Learning when Outliers Overwhelm Small Groups

Daniil Dmitriev, Rares-Darius Buhai, Stefan Tiegel +5

We study the problem of estimating the means of well-separated mixtures when an adversary may add arbitrary outliers. While strong guarantees are available when the outlier fractio…

cs.DS2024

Private graphon estimation via sum-of-squares

Hongjie Chen, Jingqiu Ding, Tommaso d'Orsi +3

We develop the first pure node-differentially-private algorithms for learning stochastic block models and for graphon estimation with polynomial running time for any constant numbe…

cs.DS2024★ 1 cited

Semirandom Planted Clique and the Restricted Isometry Property

Jarosław Błasiok, Rares-Darius Buhai, Pravesh K. Kothari +1

We give a simple, greedy -time algorithm to list-decode planted cliques in a semirandom model introduced in [CSV17] (following [FK01]) that succeeds when…

cs.LG2023★ 2 cited

Reaching Kesten-Stigum Threshold in the Stochastic Block Model under Node Corruptions

Jingqiu Ding, Tommaso d'Orsi, Yiding Hua +1

We study robust community detection in the context of node-corrupted stochastic block model, where an adversary can arbitrarily modify all the edges incident to a fraction of the $…

cs.DS2023

Robust Mean Estimation Without Moments for Symmetric Distributions

Gleb Novikov, David Steurer, Stefan Tiegel

We study the problem of robustly estimating the mean or location parameter without moment assumptions. We show that for a large class of symmetric distributions, the same error as…