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» Bisubmodular Function Minimization
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DCC
2004
IEEE
16 years 1 months ago
Universal Coding of Function Spaces as a Model for Signal Compression
We address the problem of signal compression, basing on the mathematical model, in which a set of all possible signals is considered as a function space with a metric . The main a...
Boris Ryabko, Jaakko Astola
COMPGEOM
2010
ACM
15 years 6 months ago
Computing similarity between piecewise-linear functions
We study the problem of computing the similarity between two piecewise-linear bivariate functions defined over a common domain, where the surfaces they define in 3D—polyhedral...
Pankaj K. Agarwal, Boris Aronov, Marc J. van Kreve...
DAM
1998
65views more  DAM 1998»
15 years 1 months ago
Minimization of an M-convex Function
M-convex functions, introduced by Murota (1996, 1998), enjoy various desirable properties as “discrete convex functions.” In this paper, we propose two new polynomial-time sca...
Akiyoshi Shioura
CORR
2010
Springer
144views Education» more  CORR 2010»
15 years 2 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
JGO
2008
83views more  JGO 2008»
15 years 1 months ago
Global minimization of rational functions and the nearest GCDs
This paper discusses the global minimization of rational functions with or without constraints. We studied the sum of squares (SOS) relaxations and their properties to solve this ...
Jiawang Nie, James Demmel, Ming Gu