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Integration of machine learning (ML) models of unresolved dynamics into numerical simulations of fluid dynamics has been demonstrated to improve the accuracy of coarse resolution simulations. However, when trained in a purely offline mode,…

Fluid Dynamics · Physics 2023-07-26 Christian Pedersen , Laure Zanna , Joan Bruna , Pavel Perezhogin

Distributed state estimation is examined for a sensor network tasked with reconstructing a system's state through the use of a distributed and event-triggered observer. Each agent in the sensor network employs a deep neural network (DNN) to…

Systems and Control · Electrical Eng. & Systems 2022-02-07 Federico M. Zegers , Runhan Sun , Girish Chowdhary , Warren E. Dixon

We demonstrate a machine learning based approach which can learn the time-dependent electronic excitation dynamics of small molecules subjected to ion irradiation. Ensembles of recurrent neural networks are trained on data generated by…

Chemical Physics · Physics 2024-09-24 Ethan P. Shapera , Cheng-Wei Lee

Machine learning thermodynamic perturbation theory (MLPT) is a promising approach to compute finite temperature properties when the goal is to compare several different levels of ab initio theory and/or to apply highly expensive…

We develop a statistical toolbox for a quantitative model evaluation of stochastic reaction-diffusion systems modeling space-time evolution of biophysical quantities on the intracellular level. Starting from space-time data $X_N(t,x)$, as,…

Methodology · Statistics 2023-07-14 Gregor Pasemann , Carsten Beta , Wilhelm Stannat

Machine learning (ML) has emerged as a powerful tool for accelerating the computational design and production of materials. In materials science, ML has primarily supported large-scale discovery of novel compounds using first-principles…

This study investigates the application of quantum machine learning (QML) to approximate the nonlinear component of the collision operator within the quantum lattice Boltzmann method (QLBM). To achieve this, we train a variational quantum…

Forecasting violent conflict at high spatial and temporal resolution remains a central challenge for both researchers and policymakers. This study presents a novel neural network architecture for forecasting three distinct types of violence…

Other Statistics · Statistics 2025-06-19 Simon P. von der Maase

Machine learning (ML) has shown to advance the research field of quantum chemistry in almost any possible direction and has recently also entered the excited states to investigate the multifaceted photochemistry of molecules. In this paper,…

Chemical Physics · Physics 2021-03-16 Julia Westermayr , Philipp Marquetand

Stellar collisions can occur frequently in dense cluster environments, and play a crucial role in producing exotic phenomena from blue stragglers in globular clusters to high-energy transients in galactic nuclei. Successive collisions and…

Neutrino flavor instabilities appear to be omnipresent in dense astrophysical environments, thus presenting a challenge to large-scale simulations of core-collapse supernovae and neutron star mergers (NSMs). Subgrid models offer a path…

High Energy Astrophysical Phenomena · Physics 2025-05-27 Sherwood Richers , Julien Froustey , Somdutta Ghosh , Francois Foucart , Javier Gomez

Modeling dynamical biological systems is key for understanding, predicting, and controlling complex biological behaviors. Traditional methods for identifying governing equations, such as ordinary differential equations (ODEs), typically…

Molecular Networks · Quantitative Biology 2024-12-23 Hanna Krasowski , Eric Palanques-Tost , Calin Belta , Murat Arcak

We examine the problem of learning mappings from state to state, suitable for use in a model-based reinforcement-learning setting, that simultaneously generalize to novel states and can capture stochastic transitions. We show that currently…

Machine Learning · Computer Science 2017-10-27 Yuhang Song , Christopher Grimm , Xianming Wang , Michael L. Littman

Recurrent neural networks for language models like long short-term memory (LSTM) have been utilized as a tool for modeling and predicting long term dynamics of complex stochastic molecular systems. Recently successful examples on learning…

Artificial Intelligence · Computer Science 2021-07-15 Wenqi Zeng , Siqin Cao , Xuhui Huang , Yuan Yao

Understanding and accurately predicting hydrogen diffusion in materials is challenging due to the complex interactions between hydrogen defects and the crystal lattice. These interactions span large length and time scales, making them…

We consider a Markov process in continuous time with a finite number of discrete states. The time-dependent probabilities of being in any state of the Markov chain are governed by a set of ordinary differential equations, whose dimension…

Optimization and Control · Mathematics 2014-10-31 Fernando Lopez-Caamal , Tatiana T. Marquez-Lago

While deep learning methods have achieved strong performance in time series prediction, their black-box nature and inability to explicitly model underlying stochastic processes often limit their generalization to non-stationary data,…

Machine Learning · Computer Science 2026-02-10 Yuanpei Gao , Qi Yan , Yan Leng , Renjie Liao

The multinucleon transfer (MNT) process in low-energy heavy ion collisions can be utilized to produce unknown nuclei far beyond the stability line. However, the reaction products exhibit broad angular and energy distributions, which could…

Nuclear Theory · Physics 2024-07-09 Zehong Liao , Zepeng Gao , Yu Yang , Yueping Fang , Jun Su , Long Zhu

We propose a reinforcement learning (RL) approach to compute the expression of quasi-stationary distribution. Based on the fixed-point formulation of quasi-stationary distribution, we minimize the KL-divergence of two Markovian path…

Machine Learning · Computer Science 2022-09-14 Zhiqiang Cai , Ling Lin , Xiang Zhou

Nuclear star clusters represent some of the most extreme collisional environments in the Universe. A nuclear star cluster like that of the Milky Way harbors a supermassive black hole at its center, which accelerates stars to high speeds…

Astrophysics of Galaxies · Physics 2026-02-03 Sanaea C. Rose , James C. Lombardi, , Elena González Prieto , Fulya Kıroğlu , Frederic A. Rasio