52 citations · 257 across the 43 of their papers we have counts for
47 papers
Block entropy area based non-local fermionic mode optimization with gradient disentanglers
Miklós Antal Werner, Gero Friesecke, Andor Menczer +2
We introduce a systematic block entropy area based mode optimization algorithm for many-body quantum states of interacting fermions represented by matrix product states. From the g…
Sampling Boltzmann distributions via normalizing flow approximation of transport maps
Zia Ur Rehman, Gero Friesecke
In a celebrated paper \cite{noe2019boltzmann}, Noé, Olsson, Köhler and Wu introduced an efficient method for sampling high-dimensional Boltzmann distributions arising in molecular…
Mass splitting in the time-discrete generalized Euler equations and non-Monge solutions in multi-marginal optimal transport
Gero Friesecke
The time-discretized, spatially continuous generalized Euler equations are a prototype example of multi-marginal optimal transport, yet the question whether they exhibit mass-split…
Partial regularity of optimal transport with Coulomb cost
Gero Friesecke, Tobias Ried
We prove that for two-marginal optimal transport with Coulomb cost on , the optimal map is a diffeomorphism outside a closed set of Lebesgue measure zero pr…
Copula methods for modeling pair densities in density functional theory
Geneviève Dusson, Claudia Klüppelberg, Gero Friesecke
We propose a new approach towards approximating the density-to-pair-density map based on copula theory from statistics. We extend the copula theory to multi-dimensional marginals,…
Global fermionic mode optimization via swap gates
Gero Friesecke, Miklós Antal Werner, Kornél Kapás +2
An optimal choice of single-particle modes leads to an optimal tensor network-based compression of the many-body wave function for systems of indistinguishable particles, which com…