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92
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FOCS
2005
IEEE
15 years 9 months ago
Group-theoretic Algorithms for Matrix Multiplication
We further develop the group-theoretic approach to fast matrix multiplication introduced by Cohn and Umans, and for the first time use it to derive algorithms asymptotically fast...
Henry Cohn, Robert D. Kleinberg, Balázs Sze...
127
Voted
FOCS
2005
IEEE
15 years 9 months ago
AdWords and Generalized On-line Matching
How does a search engine company decide what ads to display with each query so as to maximize its revenue? This turns out to be a generalization of the online bipartite matching p...
Aranyak Mehta, Amin Saberi, Umesh V. Vazirani, Vij...
154
Voted
TOC
2010
142views Management» more  TOC 2010»
14 years 10 months ago
Decision Trees and Influence: an Inductive Proof of the OSSS Inequality
: We give a simple proof of the OSSS inequality (O'Donnell, Saks, Schramm, Servedio, FOCS 2005). The inequality states that for any decision tree T calculating a Boolean funct...
Homin K. Lee
128
Voted
FOCS
2005
IEEE
15 years 9 months ago
Approximation Algorithms for Unique Games
We present a polynomial time algorithm based on semidefinite programming that, given a unique game of value 1 − O(1/ log n), satisfies a constant fraction of constraints, wher...
Luca Trevisan
117
Voted
FOCS
2005
IEEE
15 years 9 months ago
Hardness of Approximating the Closest Vector Problem with Pre-Processing
d Abstract] Mikhail Alekhnovich ∗ Subhash A. Khot † Guy Kindler ‡ Nisheeth K. Vishnoi § We show that, unless NP⊆DTIME(2poly log(n) ), the closest vector problem with pre-...
Mikhail Alekhnovich, Subhash Khot, Guy Kindler, Ni...