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129
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CPAIOR
2008
Springer
15 years 5 months ago
Integrating Symmetry, Dominance, and Bound-and-Bound in a Multiple Knapsack Solver
Abstract. The multiple knapsack problem (MKP) is a classical combinatorial optimization problem. A recent algorithm for some classes of the MKP is bin-completion, a bin-oriented, b...
Alex S. Fukunaga
143
Voted
FOCS
2006
IEEE
15 years 9 months ago
On a Geometric Generalization of the Upper Bound Theorem
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
Uli Wagner
119
Voted
SSPR
2004
Springer
15 years 8 months ago
Bounds for the Average Generalization Error of the Mixture of Experts Neural Network
Abstract. In this paper we derive an upper bound for the average-case generalization error of the mixture of experts modular neural network, based on an average-case generalization...
Luís A. Alexandre, Aurélio C. Campil...
CORR
2008
Springer
132views Education» more  CORR 2008»
15 years 3 months ago
Lower Bounds on the Rate-Distortion Function of Individual LDGM Codes
Abstract-- We consider lossy compression of a binary symmetric source by means of a low-density generator-matrix code. We derive two lower bounds on the rate distortion function wh...
Shrinivas Kudekar, Rüdiger L. Urbanke
125
Voted
IPL
2010
111views more  IPL 2010»
15 years 1 months ago
Connecting face hitting sets in planar graphs
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...
Pascal Schweitzer, Patrick Schweitzer