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There is growing interest in anticipating critical transitions in natural systems, often pursued through statistical detection of early warning signals associated with dynamical bifurcations. In stochastic dynamical systems, such signals…

Dynamical Systems · Mathematics 2026-03-30 Florian Suerhoff , Andreas Morr , Sebastian Bathiany , Niklas Boers , Christian Kuehn

Physical systems with many degrees of freedom can often be understood in terms of transitions between a small number of metastable states. For time-homogeneous systems with short-term memory these transitions are fully characterized by a…

Molecular Networks · Quantitative Biology 2015-06-03 Nils B. Becker , Pieter Rein ten Wolde

Coarse-graining of fully atomistic molecular dynamics simulations is a long-standing goal in order to allow the description of processes occurring on biologically relevant timescales. For example, the prediction of pathways, rates and…

Biological Physics · Physics 2020-06-12 Steffen Wolf , Benjamin Lickert , Simon Bray , Gerhard Stock

We use machine learning algorithms to detect the crystalline phase in undercooled melts in molecular dynamics simulations. Our classification method is based on local conformation and environmental fingerprints of individual monomers. In…

Soft Condensed Matter · Physics 2023-11-02 Atmika Bhardwaj , Jens-Uwe Sommer , Marco Werner

Stochastic process discovery is concerned with deriving a model capable of reproducing the stochastic character of observed executions of a given process, stored in a log. This leads to an optimisation problem in which the model's parameter…

Formal Languages and Automata Theory · Computer Science 2025-05-01 Pierre Cry , Paolo Ballarini , András Horváth , Pascale Le Gall

To achieve high-fidelity operations on a large-scale quantum computer, the parameters of the physical system must be efficiently characterized with high accuracy. For trapped ions, the entanglement between qubits are mediated by the…

Quantum Physics · Physics 2023-02-14 Mingyu Kang , Qiyao Liang , Ming Li , Yunseong Nam

We investigate the efficient learning of magnetic phases using artificial neural networks trained on synthetic data, combining computational simplicity with physics-informed strategies. Focusing on the diluted Ising model, which lacks an…

Strongly Correlated Electrons · Physics 2026-04-29 Agustin Medina , Marcelo Arlego , Carlos A. Lamas

We consider simple stochastic climate models, described by slowly time-dependent Langevin equations. We show that when the noise intensity is not too large, these systems can spend substantial amounts of time in metastable equilibrium,…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Nils Berglund , Barbara Gentz

Transitions between metastable states are commonly observed in the neural system and underlie various cognitive functions such as working memory. In a previous study, we have developed a neural network model with the slow and fast…

Biological Physics · Physics 2021-04-23 Tomoki Kurikawa

We adapt Vertex models to understand the physical origin of the formation of long-range ordered structures in repulsive soft particles. The model incorporates contributions from the volume and surface area of each particle. Sampling using…

Soft Condensed Matter · Physics 2022-06-28 Toluwanimi O. Bello , Sangwoo Lee , Patrick T. Underhill

A goal in the kinetic characterization of a macromolecular system is the description of its slow relaxation processes, involving (i) identification of the structural changes involved in these processes, and (ii) estimation of the rates or…

Chemical Physics · Physics 2015-06-15 Guillermo Perez-Hernandez , Fabian Paul , Toni Giorgino , Gianni de Fabritiis , Frank Noé

Learning dynamics from dissipative chaotic systems is notoriously difficult due to their inherent instability, as formalized by their positive Lyapunov exponents, which exponentially amplify errors in the learned dynamics. However, many of…

Machine Learning · Computer Science 2024-06-07 Yair Schiff , Zhong Yi Wan , Jeffrey B. Parker , Stephan Hoyer , Volodymyr Kuleshov , Fei Sha , Leonardo Zepeda-Núñez

In machine learning one of the strategic tasks is the selection of only significant variables as predictors for the response(s). In this paper an approach is proposed which consists in the application of permutation tests on the candidate…

Efficient analysis and simulation of multiscale stochastic systems of chemical kinetics is an ongoing area for research, and is the source of many theoretical and computational challenges. In this paper, we present a significant improvement…

Numerical Analysis · Mathematics 2016-09-21 Simon Cotter

The vast combination of material properties seen in nature are achieved by the complexity of the material microstructure. Advanced characterization and physics based simulation techniques have led to generation of extremely large…

Machine Learning · Computer Science 2023-01-12 Veera Sundararaghavan , Megna N. Shah , Jeff P. Simmons

Prognostics and Health Management ensures the reliability, safety, and efficiency of complex engineered systems by enabling fault detection, anticipating equipment failures, and optimizing maintenance activities throughout an asset…

To quantify the progress in development of algorithms and forcefields used in molecular simulations, a method for the assessment of the sampling quality is needed. We propose a general method to assess the sampling quality through the…

Computational Physics · Physics 2010-02-22 Xin Zhang , Divesh Bhatt , Daniel M. Zuckerman

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

The dynamics of biological systems, from proteins to cells to organisms, is complex and stochastic. To decipher their physical laws, we need to bridge between experimental observations and theoretical modeling. Thanks to progress in…

Soft Condensed Matter · Physics 2024-06-05 Pierre Ronceray

Molecular dynamics is a powerful tool for studying the thermodynamics and kinetics of complex molecular events. However, these simulations can rarely sample the required time scales in practice. Transition path sampling overcomes this…

Chemical Physics · Physics 2023-07-31 Gianmarco Lazzeri , Hendrik Jung , Peter G. Bolhuis , Roberto Covino
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