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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
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
ISAAC
2010
Springer
272views Algorithms» more  ISAAC 2010»
13 years 3 months ago
Neighbor Systems, Jump Systems, and Bisubmodular Polyhedra
The concept of neighbor system, introduced by Hartvigsen (2009), is a set of integral vectors satisfying a certain combinatorial property. In this paper, we reveal the relationship...
Akiyoshi Shioura
JMLR
2012
11 years 7 months ago
On Bisubmodular Maximization
Bisubmodularity extends the concept of submodularity to set functions with two arguments. We show how bisubmodular maximization leads to richer value-of-information problems, usin...
Ajit Singh, Andrew Guillory, Jeff Bilmes
CORR
2010
Springer
93views Education» more  CORR 2010»
13 years 4 months ago
Generalized roof duality and bisubmodular functions
Consider a convex relaxation ^f of a pseudo-boolean function f. We say that the relaxation is totally half-integral if ^f(x) is a polyhedral function with halfintegral extreme poi...
Vladimir Kolmogorov