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...
: We propose a simple and fast two-level minimization algorithm for completely specified functions in this paper. The algorithm is based on processing ternary trees. A ternary tree...
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...
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 ...
In the last few years, several new algorithms based on graph cuts have been developed to solve energy minimization problems in computer vision. Each of these techniques constructs...