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174
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CORR
2007
Springer
124views Education» more  CORR 2007»
15 years 6 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
HIS
2008
15 years 8 months ago
Genetic-Based Synthetic Data Sets for the Analysis of Classifiers Behavior
In this paper, we highlight the use of synthetic data sets to analyze learners behavior under bounded complexity. We propose a method to generate synthetic data sets with a specif...
Núria Macià, Albert Orriols-Puig, Es...
DGCI
2006
Springer
15 years 10 months ago
Minimal Decomposition of a Digital Surface into Digital Plane Segments Is NP-Hard
This paper deals with the complexity of the decomposition of a digital surface into digital plane segments (DPS for short). We prove that the decision problem (does there exist a ...
Isabelle Sivignon, David Coeurjolly
TCS
1998
15 years 6 months 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
190
Voted
STOC
2004
ACM
150views Algorithms» more  STOC 2004»
16 years 7 months ago
Typical properties of winners and losers in discrete optimization
We present a probabilistic analysis for a large class of combinatorial optimization problems containing, e.g., all binary optimization problems defined by linear constraints and a...
René Beier, Berthold Vöcking