arXiv subjects

Mikhail Mendel

Publications and source records attributed to Mikhail Mendel.

3 recordsLinked to original sources

arXiv2020

Evolutionary interpretations of entropy model for correspondence matrix calculation

In the work two ways of evolutionary interpretation of entropy model for correspondence matrix calculation are proposed. Both approaches based on the stochastic chemical kinetic evolution under the detailed balance condition. The first approach is based on the binary reactions, and the second one is based on the population games theory. Both approaches allow one to understand better possible physical interpretations of the classic model and to obtain the answers for some open questions in neighborhoods branches. For example, one can propose a selection rule to the unique equilibrium among the set of equilibriums.

math.OC↗

arXiv2016

Universal composite prox-method for strictly convex optimization problems

We propose a simple way to explain Univerasal method of Yu. Nesterov. Based on this method and using the restart technique we propose Universal method for strictly convex optimization problems. We consider general proximal set up (not necessarily euclidian one).

math.OC↗

arXiv2016

Efficient numerical algorithms for regularized regression problem with applications to traffic matrix estimations

In this work we collect and compare to each other many different numerical methods for regularized regression problem and for the problem of projection on a hyperplane. Such problems arise, for example, as a subproblem of demand matrix estimation in IP- networks. In this special case matrix of affine constraints has special structure: all elements are 0 or 1 and this matrix is sparse enough. We have to deal with huge-scale convex optimization problem of special type. Using the properties of the problem we try "to look inside the black-box" and to see how the best modern methods work being applied to this problem.

math.OC↗