Adaptive resetting for informed search strategies and the design of non-equilibrium steady-states

Abstract Stochastic resetting, the procedure of stopping and re-initializing random processes, has recently emerged as a powerful tool for accelerating processes ranging from queuing systems to molecular simulations. However, its usefulness is severely limited by assuming that the resetting protocol...

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Main Authors: Tommer D. Keidar, Ofir Blumer, Barak Hirshberg, Shlomi Reuveni
Format: Article
Language:English
Published: Nature Portfolio 2025-08-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-025-62398-2
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author Tommer D. Keidar
Ofir Blumer
Barak Hirshberg
Shlomi Reuveni
author_facet Tommer D. Keidar
Ofir Blumer
Barak Hirshberg
Shlomi Reuveni
author_sort Tommer D. Keidar
collection DOAJ
description Abstract Stochastic resetting, the procedure of stopping and re-initializing random processes, has recently emerged as a powerful tool for accelerating processes ranging from queuing systems to molecular simulations. However, its usefulness is severely limited by assuming that the resetting protocol is completely decoupled from the state and age of the process that is being reset. We present a general formulation for state- and time-dependent resetting of stochastic processes, which we call adaptive resetting. This allows us to predict, using a single set of trajectories without resetting and via a simple reweighing procedure, all key observables of processes with adaptive resetting. These include the first-passage time distribution, the propagator, and the steady-state. Our formulation enables efficient exploration of informed search strategies and facilitates the prediction and design of complex non-equilibrium steady-states, eliminating the need for extensive brute-force sampling across different resetting protocols. Finally, we develop a general machine learning framework to optimize the adaptive resetting protocol for an arbitrary task beyond the current state of the art. We use it to discover efficient protocols for accelerating molecular dynamics simulations.
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spelling doaj-art-c89853b1bf244b5892f92960bb95d9692025-08-20T03:46:12ZengNature PortfolioNature Communications2041-17232025-08-0116111010.1038/s41467-025-62398-2Adaptive resetting for informed search strategies and the design of non-equilibrium steady-statesTommer D. Keidar0Ofir Blumer1Barak Hirshberg2Shlomi Reuveni3School of Chemistry, Tel Aviv UniversitySchool of Chemistry, Tel Aviv UniversitySchool of Chemistry, Tel Aviv UniversitySchool of Chemistry, Tel Aviv UniversityAbstract Stochastic resetting, the procedure of stopping and re-initializing random processes, has recently emerged as a powerful tool for accelerating processes ranging from queuing systems to molecular simulations. However, its usefulness is severely limited by assuming that the resetting protocol is completely decoupled from the state and age of the process that is being reset. We present a general formulation for state- and time-dependent resetting of stochastic processes, which we call adaptive resetting. This allows us to predict, using a single set of trajectories without resetting and via a simple reweighing procedure, all key observables of processes with adaptive resetting. These include the first-passage time distribution, the propagator, and the steady-state. Our formulation enables efficient exploration of informed search strategies and facilitates the prediction and design of complex non-equilibrium steady-states, eliminating the need for extensive brute-force sampling across different resetting protocols. Finally, we develop a general machine learning framework to optimize the adaptive resetting protocol for an arbitrary task beyond the current state of the art. We use it to discover efficient protocols for accelerating molecular dynamics simulations.https://doi.org/10.1038/s41467-025-62398-2
spellingShingle Tommer D. Keidar
Ofir Blumer
Barak Hirshberg
Shlomi Reuveni
Adaptive resetting for informed search strategies and the design of non-equilibrium steady-states
Nature Communications
title Adaptive resetting for informed search strategies and the design of non-equilibrium steady-states
title_full Adaptive resetting for informed search strategies and the design of non-equilibrium steady-states
title_fullStr Adaptive resetting for informed search strategies and the design of non-equilibrium steady-states
title_full_unstemmed Adaptive resetting for informed search strategies and the design of non-equilibrium steady-states
title_short Adaptive resetting for informed search strategies and the design of non-equilibrium steady-states
title_sort adaptive resetting for informed search strategies and the design of non equilibrium steady states
url https://doi.org/10.1038/s41467-025-62398-2
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AT shlomireuveni adaptiveresettingforinformedsearchstrategiesandthedesignofnonequilibriumsteadystates