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Drift-diffusion plasma fluid models are commonly used to simulate electric discharges. Such models can computationally be very efficient if they are combined with explicit time integration. This paper deals with two issues that often arise…

Computational Physics · Physics 2020-02-19 Jannis Teunissen

Several problems in machine learning are naturally expressed as the design and analysis of time-evolving probability distributions. This includes sampling via diffusion methods, optimizing the weights of neural networks, and analyzing the…

Optimization and Control · Mathematics 2026-05-28 Gabriel Peyré

In many plasmas, in particular in space science, protons govern much of the essential physics. Minority ions, suprathermal tails, and electrons at times account for additional details. However, electron effects usually appear on much…

Space Physics · Physics 2007-05-23 D. Krauss-Varban

Based on deep neural networks (DNNs), deep learning has been successfully applied to many problems, but its mechanism is still not well understood -- especially the reason why over-parametrized DNNs can generalize. A recent statistical…

Disordered Systems and Neural Networks · Physics 2025-06-10 Gang Huang , Lai Shun Chan , Hajime Yoshino , Ge Zhang , Yuliang Jin

The fast growth of renewable energies increases the power congestion risk. To address this issue, the French Transmission System Operator (RTE) has developed closed-loop controllers to handle congestion. RTE wishes to estimate the…

Applications · Statistics 2024-04-12 Pierre Houdouin , Manuel Ruiz , Patrick Panciatici

Accurate prediction of surface energies and stabilities is essential for materials design, yet first-principles calculations remain computationally expensive and most existing interatomic potentials are trained only on bulk systems. Here,…

Materials Science · Physics 2025-10-01 Jaekyun Hwang , Taehun Lee , Yonghyuk Lee , Su-Hyun Yoo

The process of protons transport in molecular water chains is of fundamental interest for many biological systems. Although many features of such systems can be analyzed using large-scale computational modeling, other features are better…

Biological Physics · Physics 2011-08-23 Artem Korzhimanov , Mattias Marklund , Tatiana Shutova , Goran Samuelsson

Simulations of electrochemical double layer capacitors based on porous carbon electrodes, energy storage systems which accumulate and release energy through reversible ion adsorption at electrode/electrolyte interfaces, are often performed…

Materials Science · Physics 2026-03-25 El Hassane Lahrar , Mathieu Salanne , Rudolf Weeber , Céline Merlet

Simulations of exciton and charge hopping in amorphous organic materials involve numerous physical parameters. Each of these parameters must be computed from costly ab initio calculations before the simulation can commence, resulting in a…

In studying solidification process by simulations on the atomic scale, the modeling of crystal nucleation or amorphisation requires the construction of interatomic interactions that are able to reproduce the properties of both the solid and…

In general-purpose particle detectors, the particle-flow algorithm may be used to reconstruct a comprehensive particle-level view of the event by combining information from the calorimeters and the trackers, significantly improving the…

Data Analysis, Statistics and Probability · Physics 2021-06-10 Joosep Pata , Javier Duarte , Jean-Roch Vlimant , Maurizio Pierini , Maria Spiropulu

Machine-learned interatomic potentials (MLIPs) and force fields (i.e. interaction laws for atoms and molecules) are typically trained on limited data-sets that cover only a very small section of the full space of possible input structures.…

Numerical Analysis · Mathematics 2022-09-13 Christoph Ortner , Yangshuai Wang

Machine learning interatomic potentials (MLIPs) with broad chemical flexibility are important for atomistic simulations of compositionally complex materials such as high-entropy alloys. Here, we study two state-of-the-art MLIP frameworks,…

Materials Science · Physics 2026-04-06 Fei Shuang , Penghua Ying , Kai Liu , Zixiong Wei , Fengxian Liu , Zheyong Fan , Minqiang Jiang , Poulumi Dey

Machine learning potentials (MLPs) trained on accurate quantum chemical data can retain the high accuracy, while inflicting little computational demands. On the downside, they need to be trained for each individual system. In recent years,…

Machine Learning · Computer Science 2023-09-13 Marco Eckhoff , Markus Reiher

Machine learning interatomic potentials (MLIPs) have become widely used tools in atomistic simulations. For much of the history of this field, the most commonly employed architectures were based on short-ranged atomic energy contributions,…

Chemical Physics · Physics 2026-03-17 William J. Baldwin , Ilyes Batatia , Martin Vondrák , Johannes T. Margraf , Gábor Csányi

In many cases, the predictions of machine learning interatomic potentials (MLIPs) can be interpreted as a sum of body-ordered contributions, which is explicit when the model is directly built on neighbor density correlation descriptors, and…

Machine learning has emerged as a powerful tool in atomistic simulations, enabling the identification of complex patterns in molecular systems limiting human intervention and bias. However, the practical implementation of these methods…

Chemical Physics · Physics 2025-07-28 Giulia Sormani , Alex Rodriguez , Ali Hassanali

First-principles computations are the driving force behind numerous discoveries of hydride-based superconductors, mostly at high pressures, during the last decade. Machine-learning (ML) approaches can further accelerate the future…

Superconductivity · Physics 2023-06-01 Huan Tran , Tuoc N. Vu

The design of accurate helium-solute interaction potentials for the simulation of chemically complex molecules solvated in superfluid helium has long been a cumbersome task due to the rather weak but strongly anisotropic nature of the…

Chemical Physics · Physics 2021-03-25 Christoph Schran , Felix Uhl , Jörg Behler , Dominik Marx

Backpropagation of error (backprop) is a powerful algorithm for training machine learning architectures through end-to-end differentiation. However, backprop is often criticised for lacking biological plausibility. Recently, it has been…

Machine Learning · Computer Science 2020-10-07 Beren Millidge , Alexander Tschantz , Christopher L. Buckley
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