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IPCO
2001
95views Optimization» more  IPCO 2001»
13 years 11 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
CORR
2006
Springer
100views Education» more  CORR 2006»
13 years 9 months ago
Minimizing Symmetric Set Functions Faster
We describe a combinatorial algorithm which, given a monotone and consistent symmetric set function d on a finite set V in the sense of Rizzi [Riz00], constructs a non trivial set...
Michael Brinkmeier
CORR
2011
Springer
268views Education» more  CORR 2011»
13 years 1 months ago
Approximation Algorithms for Submodular Multiway Partition
Abstract— We study algorithms for the SUBMODULAR MULTIWAY PARTITION problem (SUB-MP). An instance of SUB-MP consists of a finite ground set V , a subset S = {s1, s2, . . . , sk}...
Chandra Chekuri, Alina Ene
CORR
2010
Springer
154views Education» more  CORR 2010»
13 years 7 months ago
Shaping Level Sets with Submodular Functions
We consider a class of sparsity-inducing regularization terms based on submodular functions. While earlier work has focused on non-decreasing functions, we explore symmetric submo...
Francis Bach
STOC
2009
ACM
163views Algorithms» more  STOC 2009»
14 years 10 months ago
Non-monotone submodular maximization under matroid and knapsack constraints
Submodular function maximization is a central problem in combinatorial optimization, generalizing many important problems including Max Cut in directed/undirected graphs and in hy...
Jon Lee, Vahab S. Mirrokni, Viswanath Nagarajan, M...