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» Randomized Algorithms and Complexity Theory
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STOC
2007
ACM
84views Algorithms» more  STOC 2007»
15 years 12 months ago
Lower bounds in communication complexity based on factorization norms
We introduce a new method to derive lower bounds on randomized and quantum communication complexity. Our method is based on factorization norms, a notion from Banach Space theory....
Nati Linial, Adi Shraibman
DMTCS
2003
93views Mathematics» more  DMTCS 2003»
15 years 28 days ago
Two Philosophical Applications of Algorithmic Information Theory
Two philosophical applications of the concept of program-size complexity are discussed. First, we consider the light program-size complexity sheds on whether mathematics is invent...
Gregory J. Chaitin
STOC
2003
ACM
188views Algorithms» more  STOC 2003»
15 years 12 months ago
Almost random graphs with simple hash functions
We describe a simple randomized construction for generating pairs of hash functions h1, h2 from a universe U to ranges V = [m] = {0, 1, . . . , m - 1} and W = [m] so that for ever...
Martin Dietzfelbinger, Philipp Woelfel
PPSN
2000
Springer
15 years 3 months ago
Practical Implications of New Results in Conservation of Optimizer Performance
Abstract. Three theoretical perspectives upon conservation of performance in function optimization are outlined. In terms of statistical information, performance is conserved when ...
Thomas M. English
COCO
1994
Springer
140views Algorithms» more  COCO 1994»
15 years 3 months ago
Random Debaters and the Hardness of Approximating Stochastic Functions
A probabilistically checkable debate system (PCDS) for a language L consists of a probabilisticpolynomial-time veri er V and a debate between Player 1, who claims that the input x ...
Anne Condon, Joan Feigenbaum, Carsten Lund, Peter ...