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RSA
2006
144views more  RSA 2006»
13 years 7 months ago
Data structures with dynamical random transitions
We present a (non-standard) probabilistic analysis of dynamic data structures whose sizes are considered as dynamic random walks. The basic operations (insertion, deletion, positi...
Clément Dombry, Nadine Guillotin-Plantard, ...
STACS
2009
Springer
14 years 2 months ago
On the Average Complexity of Moore's State Minimization Algorithm
Abstract. We prove that, for any arbitrary finite alphabet and for the uniform distribution over deterministic and accessible automata with n states, the average complexity of Moo...
Frédérique Bassino, Julien David, Cy...
FOCS
1999
IEEE
13 years 12 months ago
On the Complexity of SAT
We show1 that non-deterministic time NTIME(n) is not contained in deterministic time n 2and polylogarithmic space, for any > 0. This implies that (infinitely often) satisfiabi...
Richard J. Lipton, Anastasios Viglas
COCO
2009
Springer
155views Algorithms» more  COCO 2009»
14 years 2 months ago
Weak Derandomization of Weak Algorithms: Explicit Versions of Yao's Lemma
—A simple averaging argument shows that given a randomized algorithm A and a function f such that for every input x, Pr[A(x) = f(x)] ≥ 1−ρ (where the probability is over the...
Ronen Shaltiel
FOCS
2000
IEEE
13 years 12 months ago
Extracting Randomness from Samplable Distributions
Randomness extractors convert weak sources of randomness into an almost uniform distribution; the conversion uses a small amount of pure randomness. In algorithmic applications, t...
Luca Trevisan, Salil P. Vadhan