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STOC
2009
ACM
120views Algorithms» more  STOC 2009»
14 years 11 months ago
An efficient algorithm for partial order production
Gwenaël Joret, J. Ian Munro, Jean Cardinal, R...
STOC
2009
ACM
87views Algorithms» more  STOC 2009»
14 years 11 months ago
Randomly supported independence and resistance
We prove that for any positive integer k, there is a constant ck such that a randomly selected set of cknk log n Boolean vectors with high probability supports a balanced k-wise i...
Per Austrin, Johan Håstad
STOC
2009
ACM
159views Algorithms» more  STOC 2009»
14 years 11 months ago
Message passing algorithms and improved LP decoding
Linear programming decoding for low-density parity check codes (and related domains such as compressed sensing) has received increased attention over recent years because of its p...
Sanjeev Arora, Constantinos Daskalakis, David Steu...
STOC
2009
ACM
133views Algorithms» more  STOC 2009»
14 years 11 months ago
Near-perfect load balancing by randomized rounding
We consider and analyze a new algorithm for balancing indivisible loads on a distributed network with n processors. The aim is minimizing the discrepancy between the maximum and m...
Tobias Friedrich, Thomas Sauerwald
STOC
2009
ACM
187views Algorithms» more  STOC 2009»
14 years 11 months ago
Artin automorphisms, cyclotomic function fields, and folded list-decodable codes
Algebraic codes that achieve list decoding capacity were recently constructed by a careful "folding" of the Reed-Solomon code. The "low-degree" nature of this f...
Venkatesan Guruswami
STOC
2009
ACM
172views Algorithms» more  STOC 2009»
14 years 11 months ago
Linear time approximation schemes for the Gale-Berlekamp game and related minimization problems
We design a linear time approximation scheme for the GaleBerlekamp Switching Game and generalize it to a wider class of dense fragile minimization problems including the Nearest C...
Marek Karpinski, Warren Schudy
STOC
2009
ACM
123views Algorithms» more  STOC 2009»
14 years 11 months ago
An improved constant-time approximation algorithm for maximum~matchings
This paper studies constant-time approximation algorithms for problems on degree-bounded graphs. Let n and d be the number of vertices and the degree bound, respectively. This pap...
Yuichi Yoshida, Masaki Yamamoto, Hiro Ito
STOC
2009
ACM
119views Algorithms» more  STOC 2009»
14 years 11 months ago
Explicit construction of a small epsilon-net for linear threshold functions
We give explicit constructions of epsilon nets for linear threshold functions on the binary cube and on the unit sphere. The size of the constructed nets is polynomial in the dime...
Yuval Rabani, Amir Shpilka
STOC
2009
ACM
133views Algorithms» more  STOC 2009»
14 years 11 months ago
New direct-product testers and 2-query PCPs
The "direct product code" of a function f gives its values on all k-tuples (f(x1), . . . , f(xk)). This basic construct underlies "hardness amplification" in c...
Russell Impagliazzo, Valentine Kabanets, Avi Wigde...
STOC
2009
ACM
156views Algorithms» more  STOC 2009»
14 years 11 months ago
Polynomial-time theory of matrix groups
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic questions about such groups are membership in and the order of the group. Even...
László Babai, Robert Beals, Á...