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The modeling of atomistic biomolecular simulations using kinetic models such as Markov state models (MSMs) has had many notable algorithmic advances in recent years. The variational principle has opened the door for a nearly fully automated…

Biological Physics · Physics 2019-11-26 Martin K. Scherer , Brooke E. Husic , Moritz Hoffmann , Fabian Paul , Hao Wu , Frank Noé

Predictive simulations of complex systems are essential for applications ranging from weather forecasting to drug design. The veracity of these predictions hinges on their capacity to capture the effective system dynamics. Massively…

Computational Physics · Physics 2021-10-20 Pantelis R. Vlachas , Georgios Arampatzis , Caroline Uhler , Petros Koumoutsakos

Learning compressed representations of multivariate time series (MTS) facilitates data analysis in the presence of noise and redundant information, and for a large number of variates and time steps. However, classical dimensionality…

Neural and Evolutionary Computing · Computer Science 2019-07-17 Filippo Maria Bianchi , Lorenzo Livi , Karl Øyvind Mikalsen , Michael Kampffmeyer , Robert Jenssen

Learning dynamics is essential for model-based control and Reinforcement Learning in engineering systems, such as robotics and power systems. However, limited system measurements, such as those from low-resolution sensors, demand…

Machine Learning · Computer Science 2025-10-07 Haoran Li , Chenhan Xiao , Muhao Guo , Yang Weng

The next generation of force fields for molecular dynamics will be developed using a wealth of data. Training systematically with experimental data remains a challenge, however, especially for machine learning potentials. Differentiable…

Biomolecules · Quantitative Biology 2025-04-16 Joe G Greener

Dimensionality reduction represents a crucial step in extracting meaningful insights from Molecular Dynamics (MD) simulations. Conventional approaches, including linear methods such as principal component analysis as well as various…

Soft Condensed Matter · Physics 2025-10-10 Georg Diez , Nele Dethloff , Gerhard Stock

Proteins adopt multiple structural conformations to perform their diverse biological functions, and understanding these conformations is crucial for advancing drug discovery. Traditional physics-based simulation methods often struggle with…

Biomolecules · Quantitative Biology 2025-03-14 Jiarui Lu , Xiaoyin Chen , Stephen Zhewen Lu , Chence Shi , Hongyu Guo , Yoshua Bengio , Jian Tang

We present a dynamic coarse-graining technique that allows to simulate the mechanical unfolding of biomolecules or molecular complexes on experimentally relevant time scales. It is based on Markov state models (MSM), which we construct from…

Soft Condensed Matter · Physics 2018-08-17 Fabian Knoch , Ken Schäfer , Gregor Diezemann , Thomas Speck

Molecular Dynamics (MD) simulations are fundamental computational tools for the study of proteins and their free energy landscapes. However, sampling protein conformational changes through MD simulations is challenging due to the relatively…

Biomolecules · Quantitative Biology 2023-07-20 Diego E. Kleiman , Hassan Nadeem , Diwakar Shukla

We introduce a new method to accurately and efficiently estimate the effective dynamics of collective variables in molecular simulations. Such reduced dynamics play an essential role in the study of a broad class of processes, ranging from…

Statistical Mechanics · Physics 2022-03-28 Hadrien Vroylandt , Ludovic Goudenège , Pierre Monmarché , Fabio Pietrucci , Benjamin Rotenberg

Molecular design requires systematic and broadly applicable methods to extract structure-property relationships. The focus of this study is on learning thermodynamic properties from molecular-liquid simulations. The methodology relies on an…

Materials Science · Physics 2023-07-04 Bernadette Mohr , Diego van der Mast , Tristan Bereau

Adopting a $300 \, \mu$s-long molecular dynamics (MD) trajectory of the reversible folding of villin headpiece (HP35) published by D. E. Shaw Research, we recently constructed a Markov state model (MSM) of the folding process based on…

Biological Physics · Physics 2025-10-09 Daniel Nagel , Sofia Sartore , Gerhard Stock

Neural network potentials (NNPs) enable large-scale molecular dynamics (MD) simulations of systems containing >10,000 atoms with the accuracy comparable to ab initio methods and play a crucial role in material studies. Although NNPs are…

In this work, we present the novel mathematical framework of latent dynamics models (LDMs) for reduced order modeling of parameterized nonlinear time-dependent PDEs. Our framework casts this latter task as a nonlinear dimensionality…

Numerical Analysis · Mathematics 2024-12-02 Nicola Farenga , Stefania Fresca , Simone Brivio , Andrea Manzoni

Molecular dynamics (MD) simulations are a crucial computational tool for researchers to understand and engineer molecular structure and function in areas such as drug discovery, protein engineering, and material design. Despite their…

A state-space model is a time-series model that has an unobserved latent process from which we take noisy measurements over time. The observations are conditionally independent given the latent process and the latent process itself is…

Methodology · Statistics 2025-10-07 Paul Fearnhead , Chris Sherlock

Modeling and predicting the dynamics of complex multiscale systems remains a significant challenge due to their inherent nonlinearities and sensitivity to initial conditions, as well as limitations of traditional machine learning methods…

Machine Learning · Computer Science 2025-10-23 Elias Al Ghazal , Jad Mounayer , Beatriz Moya , Sebastian Rodriguez , Chady Ghnatios , Francisco Chinesta

Understanding the behavior of complex molecular systems is a fundamental problem in physical chemistry. To describe the long-time dynamics of such systems, which is responsible for their most informative characteristics, we can identify a…

Chemical Physics · Physics 2024-09-11 Jakub Rydzewski

Simulation of reasonable timescales for any long physical process using molecular dynamics (MD) is a major challenge in computational physics. In this study, we have implemented an approach based on multi-fidelity physics informed neural…

Computational Physics · Physics 2020-12-08 Mahmudul Islam , Md Shajedul Hoque Thakur , Satyajit Mojumder , Mohammad Nasim Hasan

Two-dimensional integral field surveys such as ATLAS^3D are producing rich observational data sets yielding insights into galaxy formation. These new kinematic observations have highlighted the need to understand the evolutionary mechanisms…

Astrophysics of Galaxies · Physics 2015-06-22 Christopher E. Moody , Aaron J. Romanowsky , Thomas J. Cox , G. S. Novak , Joel R. Primack