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Macromolecular and biomolecular folding landscapes typically contain high free energy barriers that impede efficient sampling of configurational space by standard molecular dynamics simulation. Biased sampling can artificially drive the…

Biological Physics · Physics 2018-11-01 Wei Chen , Andrew L Ferguson

A variety of enhanced sampling methods predict multidimensional free energy landscapes associated with biological and other molecular processes as a function of a few selected collective variables (CVs). The accuracy of these methods is…

Computational Physics · Physics 2024-04-09 Lukas Müllender , Andrea Rizzi , Michele Parrinello , Paolo Carloni , Davide Mandelli

Molecular dynamics is crucial for understanding molecular systems but its applicability is often limited by the vast timescales of rare events like protein folding. Enhanced sampling techniques overcome this by accelerating the simulation…

Machine Learning · Computer Science 2026-02-24 Seonghyun Park , Kiyoung Seong , Soojung Yang , Rafael Gómez-Bombarelli , Sungsoo Ahn

Due to the intractable partition function, training energy-based models (EBMs) by maximum likelihood requires Markov chain Monte Carlo (MCMC) sampling to approximate the gradient of the Kullback-Leibler divergence between data and model…

Machine Learning · Statistics 2021-12-28 Jianwen Xie , Zilong Zheng , Ping Li

We introduce an optimization framework for variational inference based on the coupled free energy, extending variational inference techniques to account for the curved geometry of the coupled exponential family. This family includes…

Machine Learning · Computer Science 2025-07-29 Kenric Nelson , Igor Oliveira , Amenah Al-Najafi , Fode Zhang , Hon Keung Tony Ng

Machine learning methods provide a general framework for automatically finding and representing the essential characteristics of simulation data. This task is particularly crucial in enhanced sampling simulations. There we seek a few…

Chemical Physics · Physics 2021-07-07 Jakub Rydzewski , Omar Valsson

In this study, a deep learning based conditional density estimation technique known as conditional variational auto-encoder (CVAE) is used to fill gaps typically observed in particle image velocimetry (PIV) measurements in combustion…

Fluid Dynamics · Physics 2023-12-12 Shashank Yellapantula

Extending spatio-temporal scale limitations of models for complex atomistic systems considered in biochemistry and materials science necessitates the development of enhanced sampling methods. The potential acceleration in exploring the…

Machine Learning · Statistics 2019-01-18 Markus Schöberl , Nicholas Zabaras , Phaedon-Stelios Koutsourelakis

Variational Auto-Encoders (VAEs) have been widely applied for learning compact, low-dimensional latent representations of high-dimensional data. When the correlation structure among data points is available, previous work proposed…

Machine Learning · Computer Science 2019-12-20 Da Tang , Dawen Liang , Nicholas Ruozzi , Tony Jebara

Collective variable (CV) or order parameter based enhanced sampling algorithms have achieved great success due to their ability to efficiently explore the rough potential energy landscapes of complex systems. However, the degeneracy of…

Chemical Physics · Physics 2018-07-11 Jing Zhang , Ming Chen

Recently, several deep learning methods are proposed for the gravitational wave data analysis. One is conditional variational auto encoder (CVAE), proposed by Gabbard et al. [1]. We study the accuracy of a CVAE in the context of the…

General Relativity and Quantum Cosmology · Physics 2020-02-28 Takahiro S. Yamamoto , Takahiro Tanaka

Collective variables (CVs) are low-dimensional projections of high-dimensional system states. They are used to gain insights into complex emergent dynamical behaviors of processes on networks. The relation between CVs and network measures…

Physics and Society · Physics 2026-03-19 Marvin Lücke , Stefanie Winkelmann , Jobst Heitzig , Nora Molkenthin , Péter Koltai

In molecular dynamics simulations, rare events, such as protein folding, are typically studied using enhanced sampling techniques, most of which are based on the definition of a collective variable (CV) along which acceleration occurs.…

Chemical Physics · Physics 2024-07-22 Soojung Yang , Juno Nam , Johannes C. B. Dietschreit , Rafael Gómez-Bombarelli

Often the analysis of time-dependent chemical and biophysical systems produces high-dimensional time-series data for which it can be difficult to interpret which individual features are most salient. While recent work from our group and…

Conditional variational autoencoders (CVAEs) are versatile deep generative models that extend the standard VAE framework by conditioning the generative model with auxiliary covariates. The original CVAE model assumes that the data samples…

Machine Learning · Statistics 2022-03-03 Siddharth Ramchandran , Gleb Tikhonov , Otto Lönnroth , Pekka Tiikkainen , Harri Lähdesmäki

Here we propose the Reweighted Autoencoded Variational Bayes for Enhanced Sampling (RAVE) method, a new iterative scheme that uses the deep learning framework of variational autoencoders to enhance sampling in molecular simulations. RAVE…

Chemical Physics · Physics 2018-02-13 Joao Marcelo Lamim Ribeiro , Pablo Bravo Collado , Yihang Wang , Pratyush Tiwary

Diffusion-based samplers learn to sample complex, high-dimensional distributions using energies or log densities alone, without training data. Yet, they remain impractical for molecular sampling because they are often slower than molecular…

This paper proposes a joint training method to learn both the variational auto-encoder (VAE) and the latent energy-based model (EBM). The joint training of VAE and latent EBM are based on an objective function that consists of three…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Tian Han , Erik Nijkamp , Linqi Zhou , Bo Pang , Song-Chun Zhu , Ying Nian Wu

High-dimensional metastable molecular system can often be characterised by a few features of the system, i.e. collective variables (CVs). Thanks to the rapid advance in the area of machine learning and deep learning, various deep…

Machine Learning · Computer Science 2023-08-10 Wei Zhang , Christof Schütte

Generating a data set that is representative of the accessible configuration space of a molecular system is crucial for the robustness of machine learned interatomic potentials (MLIP). However, the complexity of molecular systems,…

Machine Learning · Computer Science 2025-01-28 Aik Rui Tan , Johannes C. B. Dietschreit , Rafael Gomez-Bombarelli
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