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LICS
2002
IEEE
15 years 8 months ago
The Proof Complexity of Linear Algebra
We introduce three formal theories of increasing strength for linear algebra in order to study the complexity of the concepts needed to prove the basic theorems of the subject. We...
Michael Soltys, Stephen A. Cook
175
Voted
FOCS
2005
IEEE
15 years 9 months ago
Algorithmic Graph Minor Theory: Decomposition, Approximation, and Coloring
At the core of the seminal Graph Minor Theory of Robertson and Seymour is a powerful structural theorem capturing the structure of graphs excluding a fixed minor. This result is ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Ken-ic...
152
Voted
STOC
2009
ACM
159views Algorithms» more  STOC 2009»
16 years 4 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...
PODS
2010
ACM
215views Database» more  PODS 2010»
15 years 8 months ago
An optimal algorithm for the distinct elements problem
We give the first optimal algorithm for estimating the number of distinct elements in a data stream, closing a long line of theoretical research on this problem begun by Flajolet...
Daniel M. Kane, Jelani Nelson, David P. Woodruff
131
Voted
WCE
2007
15 years 4 months ago
Game Theory Using Genetic Algorithms
—In this paper we used genetic algorithms to1 find the solution of game theory. We proposed new method foe solving game theory and find the optimal strategy for player A or playe...
Ismail A. Ismail, Nabawia A. El Ramly, M. M. El Ka...