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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > SUM-OF-SQUARES:
Reports tagged with sum-of-squares:
TR13-105 | 29th July 2013
Raghu Meka, Avi Wigderson

Association schemes, non-commutative polynomial concentration, and sum-of-squares lower bounds for planted clique

Revisions: 1

Finding cliques in random graphs and the closely related ``planted'' clique variant, where a clique of size t is planted in a random G(n,1/2) graph, have been the focus of substantial study in algorithm design. Despite much effort, the best known polynomial-time algorithms only solve the problem for t = ... more >>>


TR17-154 | 12th October 2017
Christoph Berkholz

The Relation between Polynomial Calculus, Sherali-Adams, and Sum-of-Squares Proofs

We relate different approaches for proving the unsatisfiability of a system of real polynomial equations over Boolean variables. On the one hand, there are the static proof systems Sherali-Adams and sum-of-squares (a.k.a. Lasserre), which are based on linear and semi-definite programming relaxations. On the other hand, we consider polynomial calculus, ... more >>>


TR19-106 | 12th August 2019
Noah Fleming, Pravesh Kothari, Toniann Pitassi

Semialgebraic Proofs and Efficient Algorithm Design

Over the last twenty years, an exciting interplay has emerged between proof systems and algorithms. Some natural families of algorithms can be viewed as a generic translation from a proof that a solution exists into an algorithm for finding the solution itself. This connection has perhaps been the most consequential ... more >>>




ISSN 1433-8092 | Imprint