We study multi-marginal optimal transport problems from a probabilistic graphical model
perspective. We point out an elegant connection between the two when the underlying cost …

The Strictly Correlated Electrons (SCE) limit of the Levy–Lieb functional in Density
Functional Theory (DFT) gives rise to a symmetric multi-marginal optimal transport problem …

In this work, we construct a novel numerical method for solving the multimarginal optimal
transport problems with Coulomb cost. This type of optimal transport problem arises in …

We address the numerical solution to multimarginal optimal transport (MMOT) with pairwise
costs. MMOT, as a natural extension from the classical two-marginal optimal transport, has …

In this work, we study the entropic regularization of the strictly correlated electrons formalism,
discussing the implications for density functional theory and establishing a link with earlier …

The purpose of this paper is to introduce a new numerical method to solve multi-marginal
optimal transport problems with pairwise interaction costs. The complexity of multi-marginal …

Quantum embedding theories are powerful tools for approximately solving large‐scale,
strongly correlated quantum many‐body problems. The main idea of quantum embedding is …

This paper focuses on multi-block optimization problems over transport polytopes, which
underlie various applications including strongly correlated quantum physics and machine …

We derive an explicit expression for the functional derivative of the subleading term in the
strong interaction limit expansion of the generalized Levy-Lieb functional for the special …

The multimarginal optimal transport problem with Coulomb cost arises in quantum physics
and is vital in understanding strongly correlated quantum systems. Its intrinsic curse of …