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...
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...
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...
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 ...