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We analyze the efficiency of parallelization and restart mechanisms for stochastic simulations in model-free settings, where the underlying system dynamics are unknown. Such settings are common in Reinforcement Learning (RL) and rare event…

Probability · Mathematics 2026-05-07 Ernesto Garcia , Paola Bermolen , Matthieu Jonckheere , Seva Shneer

In this paper, we consider energy efficient multiuser scheduling. Packet loss tolerance of the applications is exploited to minimize average system energy. There is a constraint on average packet drop rate and maximum number of packets…

Information Theory · Computer Science 2014-05-26 M. Majid Butt , Eduard A. Jorswieck , Amr Mohamed

We consider partially observable Markov decision processes (POMDPs) with a set of target states and positive integer costs associated with every transition. The traditional optimization objective (stochastic shortest path) asks to minimize…

Artificial Intelligence · Computer Science 2016-05-12 Tomáš Brázdil , Krishnendu Chatterjee , Martin Chmelík , Anchit Gupta , Petr Novotný

An encounter-based approach consists in using the boundary local time as a proxy for the number of encounters between a diffusing particle and a target to implement various surface reaction mechanisms on that target. In this paper, we…

Statistical Mechanics · Physics 2023-10-03 Ziyad Benkhadaj , Denis S. Grebenkov

We explore the thermodynamics of stochastic heat engines in presence of stochastic resetting. The set-up comprises an engine whose working substance is a Brownian particle undergoing overdamped Langevin dynamics in a harmonic potential with…

Statistical Mechanics · Physics 2024-01-24 Sourabh Lahiri , Shamik Gupta

Stochastic restart may drastically reduce the expected run time of a computer algorithm, expedite the completion of a complex search process, or increase the turnover rate of an enzymatic reaction. These diverse first-passage-time (FPT)…

Statistical Mechanics · Physics 2020-10-30 Shlomi Reuveni

Estimation-of-distribution algorithms (EDAs) are optimization algorithms that learn a distribution on the search space from which good solutions can be sampled easily. A key parameter of most EDAs is the sample size (population size). If…

Neural and Evolutionary Computing · Computer Science 2023-11-06 Weijie Zheng , Benjamin Doerr

Restart is a general framework, of prime importance and wide applicability, for expediting first-passage times and completion times of general stochastic processes. Restart protocols can use either deterministic or stochastic timers.…

Statistical Mechanics · Physics 2020-10-27 Iddo Eliazar , Shlomi Reuveni

In this paper we consider the diffusive search for a bounded target $\Omega \in \R^d$ with its boundary $\partial \Omega$ totally absorbing. We assume that the target is surrounded by a semipermeable interface given by the closed surface…

Statistical Mechanics · Physics 2023-03-08 Paul C Bressloff

Rearranging objects in cluttered tabletop environments remains a long-standing challenge in robotics. Classical planners often generate inefficient, high-cost plans by shuffling objects individually and using fixed buffers--temporary spaces…

Robotics · Computer Science 2025-09-30 Arman Barghi , Hamed Hosseini , Seraj Ghasemi , Mehdi Tale Masouleh , Ahmad Kalhor

We study the effect of resetting on diffusion in a logarithmic potential. In this model, a particle diffusing in a potential $U(x) = U_0\log|x|$ is reset, i.e., taken back to its initial position, with a constant rate $r$. We show that this…

Statistical Mechanics · Physics 2020-10-27 Somrita Ray , Shlomi Reuveni

To achieve fast computation, it is crucial to reset the memory to a desired state within a limited time. However, the inherent delay in the system's response often prevents reaching the desired state once the control process is completed in…

Statistical Mechanics · Physics 2024-09-17 Geng Li , Hui Dong

We explore the effect of stochastic resetting on the first-passage properties of Feller process. The Feller process can be envisioned as space-dependent diffusion, with diffusion coefficient $D(x)=x$, in a potential…

Statistical Mechanics · Physics 2022-09-27 Somrita Ray

Smart distribution grids should efficiently integrate stochastic renewable resources while effecting voltage regulation. The design of energy management schemes is challenging, one of the reasons being that energy management is a multistage…

Optimization and Control · Mathematics 2016-08-19 Luis M. Lopez-Ramos , Vassilis Kekatos , Antonio G. Marques , Georgios B. Giannakis

Autonomous mobile agents require low-power/energy-efficient machine learning (ML) algorithms to complete their ML-based tasks while adapting to diverse environments, as mobile agents are usually powered by batteries. These requirements can…

Neural and Evolutionary Computing · Computer Science 2024-04-08 Rachmad Vidya Wicaksana Putra , Muhammad Shafique

Although resetting has widespread applicability, applying it to the dynamics in the presence of spatial quenched disorder, which is essential in many physical problems, is challenging. In this study, we consider a well-known one-dimensional…

Statistical Mechanics · Physics 2026-04-06 Riya Verma , Binayak Banerjee , Shamik Gupta , Saroj Kumar Nandi

Motion under stochastic resetting serves to model a myriad of processes in physics and beyond, but in most cases studied to date resetting to the origin was assumed to take zero time or a time decoupled from the spatial position at the…

Statistical Mechanics · Physics 2020-10-27 Arnab Pal , Łukasz Kuśmierz , Shlomi Reuveni

We extend the theoretical framework used to study search processes with stochastic resetting to the case of partially absorbing targets. Instead of an absorption event occurring when the search particle reaches the boundary of a target, the…

Statistical Mechanics · Physics 2021-04-20 Ryan D. Schumm , Paul C. Bressloff

How long does a trajectory take to reach a stable equilibrium point in the basin of attraction of a dynamical system? This is a question of quite general interest, and has stimulated a lot of activities in dynamical and stochastic systems…

Adaptation and Self-Organizing Systems · Physics 2021-02-03 Arnob Ray , Arnab Pal , Dibakar Ghosh , Syamal K. Dana , Chittaranjan Hens

Active search for recovering objects of interest through online, adaptive decision making with autonomous agents requires trading off exploration of unknown environments with exploitation of prior observations in the search space. Prior…

Robotics · Computer Science 2026-02-24 Arundhati Banerjee , Jeff Schneider