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Related papers: L\'evy Flight Foraging Hypothesis-based Autonomous…

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In many random search processes of interest in chemistry, biology or during rescue operations, an entity must find a specific target site before the latter becomes inactive, no longer available for reaction or lost. We present exact results…

Statistical Mechanics · Physics 2024-02-16 Denis Boyer , Gabriel Mercado-Vásquez , Satya N. Majumdar , Grégory Schehr

We consider a minimal model of persistent random searcher with short range memory. We calculate exactly for such searcher the mean first-passage time to a target in a bounded domain and find that it admits a non trivial minimum as function…

Statistical Mechanics · Physics 2012-02-28 V. Tejedor , R. Voituriez , O. Bénichou

Two the most common tasks for autonomous mobile robots is to explore the environment and locate a target. %In the last case, the objective is either to find a target in the shortest time possible or, alternatively, to find %as many targets…

Robotics · Computer Science 2016-12-14 M. Krivonosov , S. Denisov , V. Zaburdaev

Levy flights are known to be optimal search strategies in the particular case of revisitable targets. In the relevant situation of non revisitable targets, we propose an alternative model of bidimensional search processes, which explicitly…

Statistical Mechanics · Physics 2009-11-11 O. Benichou , C. Loverdo , M. Moreau , R. Voituriez

Assume that a target is known to be present at an unknown point among a finite set of locations in the plane. We search for it using a mobile robot that has imperfect sensing capabilities. It takes time for the robot to move between…

Optimal random foraging strategy has gained increasing concentrations. It is shown that L\'evy flight is more efficient compared with the Brownian motion when the targets are sparse. However, standard L\'evy flight generally cannot be…

Statistical Mechanics · Physics 2018-06-05 Yuquan Chen , Derek Hollenbeck , Yong Wang , YangQuan Chen

An efficient search algorithm is very crucial in robotic area, especially for exploration missions, where the target availability is unknown and the condition of the environment is highly unpredictable. In a very large environment, it is…

Robotics · Computer Science 2011-08-30 Donny K. Sutantyo , Serge Kernbach , Valentin A. Nepomnyashchikh , Paul Levi

The L\'evy hypothesis states that inverse square L\'evy walks are optimal search strategies because they maximise the encounter rate with sparse, randomly distributed, replenishable targets. It has served as a theoretical basis to interpret…

Statistical Mechanics · Physics 2020-02-27 Nicolas Levernier , Olivier Benichou , Johannes Textor , Raphael Voituriez

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…

Statistical Mechanics · Physics 2015-05-14 Gleb Oshanin , Katja Lindenberg , Horacio S Wio , Sergei Burlatsky

Search strategies based on random walk processes with long-tailed jump length distributions (Levy walks) on the one hand and intermittent behavior switching between local search and ballistic relocation phases on the other, have been…

Statistical Mechanics · Physics 2007-09-17 Michael A. Lomholt , Tal Koren , Ralf Metzler , Joseph Klafter

What is the most efficient search strategy for the random located target sites subject to the physical and biological constraints? Previous results suggested the L\'evy flight is the best option to characterize this optimal problem,…

Optimization and Control · Mathematics 2015-01-22 Caibin Zeng , YangQuan Chen

The most data-efficient algorithms for reinforcement learning in robotics are model-based policy search algorithms, which alternate between learning a dynamical model of the robot and optimizing a policy to maximize the expected return…

Machine Learning · Computer Science 2020-03-05 Rituraj Kaushik , Konstantinos Chatzilygeroudis , Jean-Baptiste Mouret

In this paper, we propose a novel architecture and a self-supervised policy gradient algorithm, which employs unsupervised auxiliary tasks to enable a mobile robot to learn how to navigate to a given goal. The dependency on the global…

Robotics · Computer Science 2018-03-07 Arbaaz Khan , Vijay Kumar , Alejandro Ribeiro

L\'{e}vy flights is a random walk where the step-lengths have a probability distribution that is heavy-tailed. It has been shown that L\'{e}vy flights can maximize the efficiency of resource searching in uncertain environments, and also…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Jiamin Wei , YangQuan Chen , Yongguang Yu , Yuquan Chen

We consider the exploration problem: an agent equipped with a depth sensor must map out a previously unknown environment using as few sensor measurements as possible. We propose an approach based on supervised learning of a greedy…

Machine Learning · Computer Science 2022-03-29 Louis Ly , Yen-Hsi Richard Tsai

We study the efficiency of random search processes based on L{\'e}vy flights with power-law distributed jump lengths in the presence of an external drift, for instance, an underwater current, an airflow, or simply the bias of the searcher…

Statistical Mechanics · Physics 2014-12-24 Vladimir V. Palyulin , Aleksei V. Chechkin , Ralf Metzler

Dealing with environments with sparse rewards has always been crucial for systems developed to operate in autonomous open-ended learning settings. Intrinsic Motivations could be an effective way to help Deep Reinforcement Learning…

Machine Learning · Computer Science 2025-04-07 Gianluca Maselli , Vieri Giuliano Santucci

An efficient searcher needs to balance properly the tradeoff between the exploration of new spatial areas and the exploitation of nearby resources, an idea which is at the core of scale-free L\'evy search strategies. Here we study…

Statistical Mechanics · Physics 2015-11-11 Daniel Campos , Frederic Bartumeus , E. P. Raposo , Vicenç Méndez

L\'evy walks are random walk processes whose step-lengths follow a long-tailed power-law distribution. Due to their abundance as movement patterns of biological organisms, significant theoretical efforts have been devoted to identifying the…

Data Structures and Algorithms · Computer Science 2021-07-23 Brieuc Guinard , Amos Korman

A major challenge in reinforcement learning is the design of exploration strategies, especially for environments with sparse reward structures and continuous state and action spaces. Intuitively, if the reinforcement signal is very scarce,…

Machine Learning · Computer Science 2021-06-15 Susan Amin , Maziar Gomrokchi , Hossein Aboutalebi , Harsh Satija , Doina Precup
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