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Efficient rare event sampling with unsupervised normalizing flows

Asghar, Solomon; Pei, Qing-Xiang; Volpe, Giorgio; Ni, Ran; (2024) Efficient rare event sampling with unsupervised normalizing flows. Nature Machine Intelligence 10.1038/s42256-024-00918-3. (In press). Green open access

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Abstract

From physics and biology to seismology and economics, the behaviour of countless systems is determined by impactful yet unlikely transitions between metastable states known as rare events, the study of which is essential for understanding and controlling the properties of these systems. Classical computational methods to sample rare events remain prohibitively inefficient and are bottlenecks for enhanced samplers that require prior data. Here we introduce a physics-informed machine learning framework, normalizing Flow enhanced Rare Event Sampler (FlowRES), which uses unsupervised normalizing flow neural networks to enhance Monte Carlo sampling of rare events by generating high-quality non-local Monte Carlo proposals. We validated FlowRES by sampling the transition path ensembles of equilibrium and non-equilibrium systems of Brownian particles, exploring increasingly complex potentials. Beyond eliminating the requirements for prior data, FlowRES features key advantages over established samplers: no collective variables need to be defined, efficiency remains constant even as events become increasingly rare and systems with multiple routes between states can be straightforwardly simulated.

Type: Article
Title: Efficient rare event sampling with unsupervised normalizing flows
Open access status: An open access version is available from UCL Discovery
DOI: 10.1038/s42256-024-00918-3
Publisher version: https://doi.org/10.1038/s42256-024-00918-3
Language: English
Additional information: © The Author(s), 2024. This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. https://creativecommons.org/licenses/by/4.0/
Keywords: Computational science, Statistical physics, thermodynamics and nonlinear dynamics
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Chemistry
URI: https://discovery.ucl.ac.uk/id/eprint/10200652
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