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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

Understanding the long-time dynamics of complex physical processes depends on our ability to recognize patterns. To simplify the description of these processes, we often introduce a set of reaction coordinates, customarily referred to as…

Chemical Physics · Physics 2024-12-31 Tuğçe Gökdemir , Jakub Rydzewski

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

Enhanced sampling simulations make the computational study of rare events feasible. A large family of such methods crucially depends on the definition of some collective variables (CVs) that could provide a low-dimensional representation of…

Computational Physics · Physics 2026-03-03 Jintu Zhang , Luigi Bonati , Enrico Trizio , Odin Zhang , Yu Kang , TingJun Hou , Michele Parrinello

The dynamics of physical systems that require high-dimensional representation can often be captured in a few meaningful degrees of freedom called collective variables (CVs). However, identifying CVs is challenging and constitutes a…

Chemical Physics · Physics 2024-04-03 Jakub Rydzewski

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

In addition to translational and rotational symmetries, clusters of identical interacting particles possess permutational symmetry. Coarse-grained models for such systems are instrumental in identifying metastable states, providing an…

Chemical Physics · Physics 2025-07-02 Jiaxin Yuan , Shashank Sule , Yeuk Yin Lam , Maria Cameron

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

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

In molecular dynamics (MD) simulations, transitions between states are often rare events due to energy barriers that exceed the thermal temperature. Because of their infrequent occurrence and the huge number of degrees of freedom in…

Chemical Physics · Physics 2024-12-06 Tuğçe Gökdemir , Jakub Rydzewski

Enhanced sampling methods typically require predefined collective variables (CVs) that presuppose knowledge of reaction coordinates, restricting the discovery of unanticipated transition mechanisms or intermediates. Here, we show that a…

Chemical Physics · Physics 2026-04-08 Xiangrui Li , Daniel Schwalbe-Koda

Forecasting conditional stochastic nonlinear dynamical systems is a fundamental challenge repeatedly encountered across the biological and physical sciences. While flow-based models can impressively predict the temporal evolution of…

Machine Learning · Computer Science 2025-04-02 Adam P. Generale , Andreas E. Robertson , Surya R. Kalidindi

Investigating processes in complex molecular systems, which are characterized by many variables, is a crucial problem in computational physics. These systems can be reduced to a few meaningful degrees of freedom known as collective…

Chemical Physics · Physics 2024-05-27 Tuğçe Gökdemir , Jakub Rydzewski

The study of the rare transitions that take place between long lived metastable states is a major challenge in molecular dynamics simulations. Many of the methods suggested to address this problem rely on the identification of the slow…

Chemical Physics · Physics 2023-06-07 Dhiman Ray , Enrico Trizio , Michele Parrinello

This paper presents the first general (supervised) statistical learning framework for point processes in general spaces. Our approach is based on the combination of two new concepts, which we define in the paper: i) bivariate innovations,…

Methodology · Statistics 2021-03-03 Ottmar Cronie , Mehdi Moradi , Christophe A. N. Biscio

In modern day simulations of many-body systems much of the computational complexity is shifted to the identification of slowly changing molecular order parameters called collective variables (CV) or reaction coordinates. A vast array of…

Statistical Mechanics · Physics 2016-04-27 Pratyush Tiwary , B. J. Berne

Free energy biasing methods have proven to be powerful tools to accelerate the simulation of important conformational changes of molecules by modifying the sampling measure. However, most of these methods rely on the prior knowledge of…

Biological Physics · Physics 2021-10-20 Zineb Belkacemi , Paraskevi Gkeka , Tony Lelièvre , Gabriel Stoltz

We introduce a method for elucidating and modifying the functionality of systems dominated by rare events that relies on the automated tuning of their underlying free energy surface. The proposed approach seeks to construct collective…

Computational Physics · Physics 2021-08-31 Dan Mendels , Juan J. de Pablo

Chemical reaction sampling critically depends on collective variables (CVs) that capture the slow degrees of freedom governing reactive transformations. However, existing reaction CVs are often defined in geometric space or learned in a…

Chemical Physics · Physics 2026-04-01 YaoKun Lei , Yi Isaac Yang

Enhanced sampling techniques such as umbrella sampling and metadynamics are now routinely used to provide information on how the thermodynamic potential, or free energy, depends on a small number of collective variables. The free energy…

Computational Physics · Physics 2018-08-31 Ilaria Gimondi , Gareth A. Tribello , Matteo Salvalaglio
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