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» Average-Case Complexity of Learning Polynomials
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FOCS
2003
IEEE
13 years 10 months ago
On Worst-Case to Average-Case Reductions for NP Problems
We show that if an NP-complete problem has a non-adaptive self-corrector with respect to a samplable distribution then coNP is contained in NP/poly and the polynomial hierarchy co...
Andrej Bogdanov, Luca Trevisan
FSTTCS
1992
Springer
13 years 9 months ago
Structural Average Case Complexity
Levin introduced an average-case complexity measure, based on a notion of \polynomialon average," and de ned \average-case polynomial-time many-one reducibility" amongra...
Rainer Schuler, Tomoyuki Yamakami
STACS
1999
Springer
13 years 9 months ago
A Complete and Tight Average-Case Analysis of Learning Monomials
Abstract. We advocate to analyze the average complexity of learning problems. An appropriate framework for this purpose is introduced. Based on it we consider the problem of learni...
Rüdiger Reischuk, Thomas Zeugmann
STACS
2005
Springer
13 years 11 months ago
Worst-Case and Average-Case Approximations by Simple Randomized Search Heuristics
Abstract. In recent years, probabilistic analyses of algorithms have received increasing attention. Despite results on the average-case complexity and smoothed complexity of exact ...
Carsten Witt
DAGSTUHL
2004
13 years 6 months ago
Information-Based Nonlinear Approximation: An Average Case Setting
Nonlinear approximation has usually been studied under deterministic assumptions and complete information about the underlying functions. In the present paper we assume only partia...
Leszek Plaskota