Results 91 to 100 of about 3,027 (198)
On the Stochastic Convergence of Representations Based on Wasserstein Metrics
The Annals of Probability, 1993 Under some regularity conditions an optimal coupling of two probability measures on a Hilbert space can be found in the form \((X,H(X))\) for some monotone function \(H\). It is shown that convergence of \(P_ n\) to \(P\) in distribution implies a.s. convergence of the optimal coupling functions \(H_ n\) in the finite-dimensional case. For the infinite-
openaire +3 more sources
Model Predictive Control of Gas Networks Based on Port‐Hamiltonian Formulations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.ABSTRACT To efficiently compute optimal compressor actions in gas networks, we investigate port‐Hamiltonian models consisting of linear and a nonlinear model assumptions. The control actions are derived via adjoint‐based gradients that incorporate the constraints of the underlying optimization problem. We then present results from the implementation of
Andres Ortegón‐Villacorte +1 more
wiley +1 more source
Optimal transport on gas networks
European Journal of Applied MathematicsOptimal transport tasks naturally arise in gas networks, which include a variety of constraints such as physical plausibility of the transport and the avoidance of extreme pressure fluctuations.
Ariane Fazeny +2 more
doaj +1 more source
DOTmark – A Benchmark for Discrete Optimal Transport
IEEE Access, 2017 The Wasserstein metric or earth mover's distance is a useful tool in statistics, computer science and engineering with many applications to biological or medical imaging, among others. Especially in the light of increasingly complex data, the computation
Jorn Schrieber +2 more
doaj +1 more source
Bounding adapted Wasserstein metrics
The Wasserstein distance $\mathcal{W}_p$ is an important instance of an optimal transport cost. Its numerous mathematical properties as well as applications to various fields such as mathematical finance and statistics have been well studied in recent years.
Blanchet, Jose +3 more
openaire +2 more sources
Expert Systems, Volume 43, Issue 9, September 2026.ABSTRACT Evaluating synthetic data produced by generative models remains a critical challenge in sensitive domains such as healthcare and finance. Ensuring that such data is ‘faithful’ to real data is essential for downstream applications and decision‐making, including regulatory compliance. This paper introduces an AI‐powered interactive visual system—
Liqun Liu +5 more
wiley +1 more source
Advanced Intelligent Discovery, Volume 2, Issue 4, August 2026.We investigate MACE‐MP‐0 and M3GNet, two general‐purpose machine learning potentials, in materials discovery and find that both generally yield reliable predictions. At the same time, both potentials show a bias towards overstabilizing high energy metastable states. We deduce a metric to quantify when these potentials are safe to use.
Konstantin S. Jakob +2 more
wiley +1 more source
EnergiesThe rapid integration of distributed energy resources (DERs) such as photovoltaics (PV), wind turbines, and energy storage systems has transformed modern power systems, with hosting capacity optimization emerging as a critical challenge.
Jun Han +4 more
doaj +1 more source
Sliced Wasserstein Geodesics and Equivalence Wasserstein and Sliced Wasserstein metrics
6 pages, 1 figure ...
openaire +2 more sources
American Journal of Medical Genetics Part A, Volume 200, Issue 8, Page 1764-1772, August 2026.ABSTRACT People with Phelan–McDermid syndrome (PMS) have reduced speech and language abilities, yet little research has profiled the communication abilities in this population. The purpose of this study was threefold: identifying the language and communication profiles of school‐aged children with PMS, identifying genetic contributions to language and ...
Sarah Quadri‐Valverde +12 more
wiley +1 more source