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JCT
2000
103views more  JCT 2000»
13 years 4 months ago
A Combinatorial Algorithm Minimizing Submodular Functions in Strongly Polynomial Time
We give a strongly polynomial-time algorithm minimizing a submodular function f given by a value-giving oracle. The algorithm does not use the ellipsoid method or any other linear ...
Alexander Schrijver
CORR
2010
Springer
144views Education» more  CORR 2010»
13 years 5 months ago
Efficient Minimization of Decomposable Submodular Functions
Many combinatorial problems arising in machine learning can be reduced to the problem of minimizing a submodular function. Submodular functions are a natural discrete analog of co...
Peter Stobbe, Andreas Krause
SODA
2008
ACM
75views Algorithms» more  SODA 2008»
13 years 6 months ago
Strongly polynomial and fully combinatorial algorithms for bisubmodular function minimization
Bisubmodular functions are a natural "directed", or "signed", extension of submodular functions with several applications. Recently Fujishige and Iwata showed ...
S. Thomas McCormick, Satoru Fujishige
CONSTRAINTS
2008
138views more  CONSTRAINTS 2008»
13 years 5 months ago
Minimization of Locally Defined Submodular Functions by Optimal Soft Arc Consistency
Submodular function minimization is a polynomially-solvable combinatorial problem. Unfortunately the best known general-purpose algorithms have high-order polynomial time complexi...
Martin C. Cooper
IPCO
2001
95views Optimization» more  IPCO 2001»
13 years 6 months ago
Bisubmodular Function Minimization
This paper presents the first combinatorial polynomial algorithm for minimizing bisubmodular functions, extending the scaling algorithm for submodular function minimization due to ...
Satoru Fujishige, Satoru Iwata