3 citations · 3 across the 4 of their papers we have counts for
4 papers
Computing Optimal Trajectories for Optimal Transport in Nonuniform Environments
Luca Dieci, Daniyar Omarov
In this work, we solve a discrete optimal transport problem in a nonuniform environment. To solve the optimal transport problem, we build the cost matrix and then use classical sol…
Semi-discrete multi-to -one dimensional variational problems
Omar Abdul Halim, Daniyar Omarov, Brendan Pass
We study a class of semi-discrete variational problems that arise in economic matching and game theory, where agents with continuous attributes are matched to a finite set of outco…
Characterizing and computing solutions to regularized semi-discrete optimal transport via an ordinary differential equation
Luca Nenna, Daniyar Omarov, Brendan Pass
This paper investigates the semi-discrete optimal transport (OT) problem with entropic regularization. We characterize the solution using a governing, well-posed ordinary different…
Solving Semi-Discrete Optimal Transport Problems: star shapedeness and Newton's method
Luca Dieci, Daniyar Omarov
In this work, we propose a novel implementation of Newton's method for solving semi-discrete optimal transport (OT) problems for cost functions which are a positive combination of…