3 citations · 10 across the 8 of their papers we have counts for
4 papers · 1 filter
Forming a symmetric, unreduced, tridiagonal matrix with a given spectrum
Luca Dieci, Alessandro Pugliese
Given a set of distinct real numbers, our goal is to form a symmetric, unreduced, tridiagonal, matrix with those numbers as eigenvalues. We give an algorithm which is a stable…
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…
A continuation multiple shooting method for Wasserstein geodesic equation
Jianbo Cui, Luca Dieci, Haomin Zhou
In this paper, we propose a numerical method to solve the classic -optimal transport problem. Our algorithm is based on use of multiple shooting, in combination with a continu…
Time Discretizations of Wasserstein-Hamiltonian Flows
Jianbo Cui, Luca Dieci, Haomin Zhou
We study discretizations of Hamiltonian systems on the probability density manifold equipped with the -Wasserstein metric. Based on discrete optimal transport theory, several…