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We consider the problem of reconstructing a signal from multi-layered (possibly) non-linear measurements. Using non-rigorous but standard methods from statistical physics we present the Multi-Layer Approximate Message Passing (ML-AMP)…

Information Theory · Computer Science 2020-01-22 Andre Manoel , Florent Krzakala , Marc Mézard , Lenka Zdeborová

Density Functional Theory (DFT) is a widely used computational method for estimating the energy and behavior of molecules. Machine Learning Interatomic Potentials (MLIPs) are models trained to approximate DFT-level energies and forces at…

Machine Learning · Computer Science 2025-12-02 Ahmad Ali

The problem of monotone missing data has been broadly studied during the last two decades and has many applications in different fields such as bioinformatics or statistics. Commonly used imputation techniques require multiple iterations…

Machine Learning · Computer Science 2020-09-25 Thu Nguyen , Duy H. M. Nguyen , Huy Nguyen , Binh T. Nguyen , Bruce A. Wade

In-situ Electron Energy Loss Spectroscopy (EELS) is an instrumental technique that has traditionally been used to understand how the choice of materials processing has the ability to change local structure and composition. However, more…

Investigating Li$^+$ transport within the amorphous lithium phosphorous oxynitride (LiPON) framework, especially across a Li||LiPON interface, has proven challenging due to its amorphous nature and varying stoichiometry, necessitating large…

Materials Science · Physics 2025-04-03 Aqshat Seth , Rutvij Pankaj Kulkarni , Gopalakrishnan Sai Gautam

The transport of excess protons and hydroxide ions in water underlies numerous important chemical and biological processes. Accurately simulating the associated transport mechanisms ideally requires utilizing ab initio molecular dynamics…

Chemical Physics · Physics 2023-08-15 Austin O. Atsango , Tobias Morawietz , Ondrej Marsalek , Thomas E. Markland

The paper presents a robust parameter learning methodology for identification of nonlinear dynamical system from data while satisfying safety and stability constraints in the context of learning from demonstration (LfD) methods. Extreme…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Iman Salehi , Ghananeel Rotithor , Ashwin P. Dani

This study presents a semi-nonparametric Latent Class Choice Model (LCCM) with a flexible class membership component. The proposed model formulates the latent classes using mixture models as an alternative approach to the traditional random…

Long ranged electrostatic interactions are time consuming to calculate in molecular dynamics and Monte-Carlo simulations. We introduce an algorithmic framework for simulating charged particles which modifies the dynamics so as to allow…

Statistical Mechanics · Physics 2009-09-07 A. C. Maggs , V. Rossetto

Despite prior advances in PINNs, significant challenges remain in localized solid mechanics problems because of the limitations of single network formulations in simultaneous resolution of smooth global responses and near-tip singularities,…

Computational Physics · Physics 2025-10-22 Zhihong Lai , Luyang Zhao , Qian Shao

Interatomic potentials which accurately describe long-range electrostatics require atom-centred charges. One such method to determine these atom-centred charges from density functional theory (DFT) calculations is the density-derived atomic…

Materials Science · Physics 2026-04-14 Mohith H. , Sudarshan Vijay

We present a multitask machine learning strategy for improving the prediction of molecular dipole moments by simultaneously training on quantum dipole magnitudes and inexpensive Mulliken atomic charges. With dipole magnitudes as the primary…

Molecular Dynamics (MD) codes predict the fundamental properties of matter by following the trajectories of a collection of interacting model particles. To exploit diverse modern manycore hardware, efficient codes must use all available…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-04 William R. Saunders , James Grant , Eike H. Müller

Atomic partial charges are crucial parameters in molecular dynamics (MD) simulation, dictating the electrostatic contributions to intermolecular energies, and thereby the potential energy landscape. Traditionally, the assignment of partial…

Machine Learning · Computer Science 2024-05-09 Yuanqing Wang , Iván Pulido , Kenichiro Takaba , Benjamin Kaminow , Jenke Scheen , Lily Wang , John D. Chodera

The rapid development of computational materials science powered by machine learning (ML) is gradually leading to solutions to several previously intractable scientific problems. One of the most prominent is machine learning interatomic…

Materials Science · Physics 2025-05-27 Xiao Fu , Jing Xu , Qifan Yang , Xuhe Gong , Jingchen Lian , Liqi Wang , Zibin Wang , Ruijuan Xiao , Hong Li

Accurate estimation of long-term risk is essential for the design and analysis of stochastic dynamical systems. Existing risk quantification methods typically rely on extensive datasets involving risk events observed over extended time…

Machine Learning · Computer Science 2025-10-09 Zhuoyuan Wang , Albert Chern , Yorie Nakahira

Coarse-graining (CG) enables molecular dynamics (MD) simulations of larger systems and longer timescales that are otherwise infeasible with atomistic models. Machine learning potentials (MLPs), with their capacity to capture many-body…

Chemical Physics · Physics 2025-12-01 Weilong Chen , Franz Görlich , Paul Fuchs , Julija Zavadlav

We propose a novel approach for constructing training databases for Machine-Learned Interatomic Potential (MLIP) models, specifically designed to capture phase properties across a wide range of conditions. The framework is uniquely…

Materials Science · Physics 2025-12-03 Vincent G. Fletcher , Albert P. Bartók , Livia B. Pártay

This paper introduces Large Execution Models (LEMs), a novel deep learning framework that extends transformer-based architectures to address complex execution problems with flexible time boundaries and multiple execution constraints.…

Machine Learning · Computer Science 2025-10-01 Remi Genet , Hugo Inzirillo

Charge carrier dynamics critically affect the efficiency and stability of organic photovoltaic devices, but they are challenging to model with traditional analytical methods. We introduce \b{eta}-Linearly Decoded Latent Ordinary…

Materials Science · Physics 2025-11-04 Li Raymond , Salim Flora , Wang Sijin , Wright Brendan
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