activity
20062023
most citedHypercontractivity, Sum-of-Squares Proofs, and their Applications

193 citations · 549 across the 24 of their papers we have counts for

collaborators
Showing cs.DSShow all

5 papers · 1 filter

cs.DS2018★ 40 cited

(Nearly) Efficient Algorithms for the Graph Matching Problem on Correlated Random Graphs

Boaz Barak, Chi-Ning Chou, Zhixian Lei +2

We give a quasipolynomial time algorithm for the graph matching problem (also known as noisy or robust graph isomorphism) on correlated random graphs. Specifically, for every …

cs.DS2014★ 5 cited

Dictionary Learning and Tensor Decomposition via the Sum-of-Squares Method

Boaz Barak, Jonathan A. Kelner, David Steurer

We give a new approach to the dictionary learning (also known as "sparse coding") problem of recovering an unknown matrix (for ) from examples of the form…

cs.DS2014★ 97 cited

Sum-of-squares proofs and the quest toward optimal algorithms

Boaz Barak, David Steurer

In order to obtain the best-known guarantees, algorithms are traditionally tailored to the particular problem we want to solve. Two recent developments, the Unique Games Conjecture…

cs.DS2013

Rounding Sum-of-Squares Relaxations

Boaz Barak, Jonathan Kelner, David Steurer

We present a general approach to rounding semidefinite programming relaxations obtained by the Sum-of-Squares method (Lasserre hierarchy). Our approach is based on using the connec…

cs.DS2011

Rounding Semidefinite Programming Hierarchies via Global Correlation

Boaz Barak, Prasad Raghavendra, David Steurer

We show a new way to round vector solutions of semidefinite programming (SDP) hierarchies into integral solutions, based on a connection between these hierarchies and the spectrum…