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COCO
2001
Springer
142views Algorithms» more  COCO 2001»
15 years 5 months ago
On the Complexity of Approximating the VC Dimension
We study the complexity of approximating the VC dimension of a collection of sets, when the sets are encoded succinctly by a small circuit. We show that this problem is • Σp 3-...
Elchanan Mossel, Christopher Umans
98
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ISAAC
2001
Springer
98views Algorithms» more  ISAAC 2001»
15 years 5 months ago
Fragmentary Pattern Matching: Complexity, Algorithms and Applications for Analyzing Classic Literary Works
A fragmentary pattern is a multiset of non-empty strings, and it matches a string w if all the strings in it occur within w without any overlaps. We study some fundamental issues o...
Hideaki Hori, Shinichi Shimozono, Masayuki Takeda,...
88
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TCS
1998
15 years 5 days ago
Reachability in Live and Safe Free-Choice Petri Nets is NP-Complete
The complexity of the reachability problem for live and safe free-choice Petri nets has been open for several years. Several partial results seemed to indicate that the problem is...
Javier Esparza
TEC
2010
173views more  TEC 2010»
14 years 7 months ago
Analysis of Computational Time of Simple Estimation of Distribution Algorithms
Estimation of distribution algorithms (EDAs) are widely used in stochastic optimization. Impressive experimental results have been reported in the literature. However, little work ...
Tianshi Chen, Ke Tang, Guoliang Chen, Xin Yao
94
Voted
FOCS
2009
IEEE
15 years 7 months ago
Settling the Complexity of Arrow-Debreu Equilibria in Markets with Additively Separable Utilities
We prove that the problem of computing an Arrow-Debreu market equilibrium is PPAD-complete even when all traders use additively separable, piecewise-linear and concave utility fun...
Xi Chen, Decheng Dai, Ye Du, Shang-Hua Teng