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We study the kinetics for the search of an immobile target by randomly moving searchers that detect it only upon encounter. The searchers perform intermittent random walks on a one-dimensional lattice. Each searcher can step on a nearest…

统计力学 · 物理学 2015-05-14 Gleb Oshanin , Katja Lindenberg , Horacio S Wio , Sergei Burlatsky

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…

统计力学 · 物理学 2025-03-18 Tommer D. Keidar , Ofir Blumer , Barak Hirshberg , Shlomi Reuveni

In many physical situations, there appears the problem of reaching a single target that is spatially distributed. Here we analyse how stochastic resetting, also spatially distributed, can be used to improve the search process when the…

We consider one dimensional diffusive search strategies subjected to external potentials. The location of a single target is drawn from a given probability density function (PDF) $f_G(x)$ and is fixed for each stochastic realization of the…

统计力学 · 物理学 2017-04-07 Łukasz Kuśmierz , Martin Bier , Ewa Gudowska-Nowak

A random search is a stochastic process representing the random motion of a particle (denoted as the searcher) that is terminated when it reaches (detects) a target particle or area the first time. In intermittent search the random motion…

软凝聚态物质 · 物理学 2016-11-23 Karsten Schwarz , Yannick Schröder , Heiko Rieger

This paper considers simulation-based optimization of the performance of a regime-switching stochastic system over a finite set of feasible configurations. Inspired by the stochastic fictitious play learning rules in game theory, we propose…

最优化与控制 · 数学 2016-11-18 Omid Namvar Gharehshiran , Vikram Krishnamurthy , George Yin

Classical first passage under resetting is a paradigm in the search process. Despite its multitude of applications across interdisciplinary sciences, experimental realizations of such resetting processes posit practical challenges in…

统计力学 · 物理学 2024-10-11 Arup Biswas , Anupam Kundu , Arnab Pal

Many physical phenomena are modeled as stochastic searchers looking for targets. In these models, the probability that a searcher finds a particular target, its so-called hitting probability, is often of considerable interest. In this work…

统计力学 · 物理学 2024-07-18 Samantha Linn , Sean D. Lawley

The cost of stochastic resetting is considered within the context of a discrete random walk model. In addition to standard stochastic resetting, for which a reset occurs with a certain probability after \emph{each} step, we introduce a…

统计力学 · 物理学 2024-10-30 Deepak Gupta , Bart Cleuren

In this work we propose the use of adaptive stochastic search as a building block for general, non-convex optimization operations within deep neural network architectures. Specifically, for an objective function located at some layer in the…

机器学习 · 计算机科学 2021-04-05 Ioannis Exarchos , Marcus A. Pereira , Ziyi Wang , Evangelos A. Theodorou

Restarting a stochastic search process can accelerate its completion by providing an opportunity to take a more favorable path with each reset. This strategy, known as stochastic resetting, is well studied in random processes. Here, we…

混沌动力学 · 物理学 2026-01-09 Julia Cantisán , Alexandre R. Nieto , Jesús M. Seoane

We investigate random searches under stochastic position resetting at rate $r$, in a bounded 1D environment with space-dependent diffusivity $D(x)$. For arbitrary shapes of $D(x)$ and prescriptions of the associated multiplicative…

统计力学 · 物理学 2025-01-09 Luiz Menon , Celia Anteneodo

We theoretically address minimal search strategies of active, self-propelled particles towards hidden targets in three-dimensional space. The particles can sense if a target is close, e.g., by detecting signaling molecules released by a…

软凝聚态物质 · 物理学 2021-03-22 Justus A. Kromer , Andrea Auconi , Benjamin M. Friedrich

We introduce a new class of first passage time optimization driven by threshold resetting, inspired by many natural processes where crossing a critical limit triggers failure, degradation or transition. In here, search agents are…

统计力学 · 物理学 2026-01-22 Arup Biswas , Satya N Majumdar , Arnab Pal

In this paper we consider a random search process with stochastic resetting and a partially accessible target $\calU$. That is, when the searcher finds the target by attaching to its surface $\partial \calU$ it does not have immediate…

统计力学 · 物理学 2025-03-07 Paul C. Bressloff

By periodically returning a search process to a known or random state, random resetting possesses the potential to unveil new trajectories, sidestep potential obstacles, and consequently enhance the efficiency of locating desired targets.…

统计力学 · 物理学 2024-12-31 Arnab Pal , Viktor Stojkoski , Trifce Sandev

We analyze predator-prey dynamics in one dimension in which a Brownian predator adopts a chasing strategy that consists in stochastically resetting its current position to locations previously visited by a diffusive prey. We study three…

无序系统与神经网络 · 物理学 2019-12-05 J. Quetzalcoatl Toledo-Marin , Denis Boyer , Francisco J. Sevilla

Iterative trajectory optimization techniques for non-linear dynamical systems are among the most powerful and sample-efficient methods of model-based reinforcement learning and approximate optimal control. By leveraging time-variant local…

系统与控制 · 电气工程与系统科学 2019-08-01 Onur Celik , Hany Abdulsamad , Jan Peters

In this paper, we conduct a literature review of laws of motion based on stochastic search strategies which are mainly focused on exploring highly dynamic environments. In this regard, stochastic search strategies represent an interesting…

Will the strategy of resetting} help a stochastic process to reach its target efficiently, with its environment continually toggling between a strongly favourable and an unfavourable (or weakly favourable) state? A diffusive run-and-tumble…

统计力学 · 物理学 2025-03-04 Hillol kumar Barman , Amitabha Nandi , Dibyendu Das
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