Corpus ID: 3290337

# Subexponential Algorithms for dto-1 Two-Prover Games and for Certifying Almost Perfect Expansion

@inproceedings{Steurer2010SubexponentialAF,
title={Subexponential Algorithms for dto-1 Two-Prover Games and for Certifying Almost Perfect Expansion},
author={David Steurer},
year={2010}
}
A question raised by the recent subexponential algorithm for Unique Games (Arora, Barak, Steurer, FOCS 2010) is what other “hard-looking” problems admit good approximation algorithms with subexponential complexity. In this work, we give such an algorithm for d-to-1 two-prover games, a broad class of constraint satisfaction problems. Our algorithm has several consequences for Khot’s d-to-1 Conjectures. We also give a related subexponential algorithm for certifying that small sets in a graph have… Expand
Subexponential Algorithms for Unique Games and Related Problems
• Computer Science, Mathematics
• 2010 IEEE 51st Annual Symposium on Foundations of Computer Science
• 2010
A sub exponential time approximation algorithm for the Unique Games problem that is exponential in an arbitrarily small polynomial of the input size, n, and shows that for every $\epsilon>0$ and every regular $n$-vertex graph~$G, one can break into disjoint parts so that the stochastic adjacency matrix of the induced graph on each part has at most n eigenvalues larger than$1-\eta. Expand
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• 2016
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• 2018
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• Mathematics, Computer Science
• STOC '12
• 2012
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• Computer Science, Physics
• STOC '12
• 2012
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• APPROX-RANDOM
• 2011
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We give the first examples of non-trivially positively-useless predicates subject only to P != NP. In particular, for every constraint function Q : {-1,1}^4 -> R, we constructExpand
Analytical approach to parallel repetition
• Computer Science, Mathematics
• STOC
• 2014
Improved bounds for few parallel repetitions of projection games are shown, showing that Raz's counterexample to strong parallel repetition is tight even for a small number of repetitions, and a short proof for the NP-hardness of label cover(1, δ) for all δ > 0, starting from the basic PCP theorem. Expand
C C ] 21 M ay 2 01 2 Hypercontractivity , Sum-of-Squares Proofs , and their Applications
We study the computational complexity of approximating the 2-to-qnorm of linear operators (defined as ‖A‖2→q = maxv,0‖Av‖q/‖v‖2) for q > 2, as well as connections between this question and issuesExpand

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