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We consider steady-state diffusion in a bounded planar domain with multiple small targets on a smooth boundary. Using the method of matched asymptotic expansions, we investigate the competition of these targets for a diffusing particle and…

Analysis of PDEs · Mathematics 2025-11-18 Denis S. Grebenkov , Michael J. Ward

We focus on the task of goal-oriented grasping, in which a robot is supposed to grasp a pre-assigned goal object in clutter and needs some pre-grasp actions such as pushes to enable stable grasps. However, in this task, the robot gets…

Robotics · Computer Science 2021-06-24 Kechun Xu , Hongxiang Yu , Qianen Lai , Yue Wang , Rong Xiong

We study a random process with reinforcement, which evolves following the dynamics of a given diffusion process in a bounded domain and is resampled according to its occupation measure when it reaches the boundary. We show that its…

Probability · Mathematics 2021-02-16 Michel Benaïm , Nicolas Champagnat , Denis Villemonais

The territory explored by a random walk is a key property that may be quantified by the number of distinct sites that the random walk visits up to a given time. The extent of this spatial exploration characterizes many important physical,…

Statistical Mechanics · Physics 2023-02-21 Léo Régnier , Maxim Dolgushev , S. Redner , Olivier Bénichou

We calculate the survival probability of an immobile target surrounded by a sea of uncorrelated diffusive or subdiffusive evanescent traps, i.e., traps that disappear in the course of their motion. Our calculation is based on a fractional…

Statistical Mechanics · Physics 2015-06-11 E. Abad , S. B. Yuste , Katja Lindenberg

Stochastic policies (also known as relaxed controls) are widely used in continuous-time reinforcement learning algorithms. However, executing a stochastic policy and evaluating its performance in a continuous-time environment remain open…

Machine Learning · Computer Science 2025-10-03 Yanwei Jia , Du Ouyang , Yufei Zhang

We study the classic problem in which a Searcher must locate a hidden point, also called the Hider in a network, starting from a root point. The network may be either bounded or unbounded, thus generalizing well-known settings such as…

Optimization and Control · Mathematics 2019-08-07 Spyros Angelopoulos , Thomas Lidbetter

An important goal for swarming research is to create methods for predicting, controlling and designing swarms, which produce collective dynamics that solve a problem through emergent and stable pattern formation, without the need for…

Adaptation and Self-Organizing Systems · Physics 2025-11-17 Jason Hindes , George Stantchev , Klimka Szwaykowska Kasraie , Ira B. Schwartz

An agent has access to multiple information sources, each of which provides information about a different attribute of an unknown state. Information is acquired continuously -- where the agent chooses both which sources to sample from, and…

Theoretical Economics · Economics 2021-04-27 Annie Liang , Xiaosheng Mu , Vasilis Syrgkanis

Stochastic resetting, where a dynamical process is intermittently returned to a fixed reference state, has emerged as a powerful mechanism for optimizing first-passage properties. Existing theory largely treats static, non-learning…

Machine Learning · Computer Science 2026-03-18 Jello Zhou , Vudtiwat Ngampruetikorn , David J. Schwab

In this work we consider a stochastic movement process with random resets to the origin followed by a random residence time there before the walker restarts its motion. First, we study the transport properties of the walker, we derive an…

Statistical Mechanics · Physics 2019-05-22 Axel Masó-Puigdellosas , Daniel Campos , Vicenç Méndez

We consider the problem of search through comparisons, where a user is presented with two candidate objects and reveals which is closer to her intended target. We study adaptive strategies for finding the target, that require knowledge of…

Machine Learning · Computer Science 2012-06-22 Amin Karbasi , Stratis Ioannidis , laurent Massoulie

Efficiency of search for randomly distributed targets is a prominent problem in many branches of the sciences. For the stochastic process of L\'evy walks, a specific range of optimal efficiencies was suggested under variation of search…

Statistical Mechanics · Physics 2021-06-11 S. Mohsen J. Khadem , Sabine H. L. Klapp , Rainer Klages

We formulate and analyze a generic sequential resource access problem arising in a variety of engineering fields, where a user disposes a number of heterogeneous computing, communication, or storage resources, each characterized by the…

Networking and Internet Architecture · Computer Science 2020-12-08 Lin Chen , Anastasios Giovanidis , Wei Wang , Lin Shan

Deep metric learning maps visually similar images onto nearby locations and visually dissimilar images apart from each other in an embedding manifold. The learning process is mainly based on the supplied image negative and positive training…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Chang-Hui Liang , Wan-Lei Zhao , Run-Qing Chen

In this paper we are interested in the task of searching and tracking multiple moving targets in a bounded surveillance area with a group of autonomous mobile agents. More specifically, we assume that targets can appear and disappear at…

Systems and Control · Electrical Eng. & Systems 2023-02-02 Savvas Papaioannou , Panayiotis Kolios , Theocharis Theocharides , Christos G. Panayiotou , Marios M. Polycarpou

State abstraction has been an essential tool for dramatically improving the sample efficiency of reinforcement-learning algorithms. Indeed, by exposing and accentuating various types of latent structure within the environment, different…

Machine Learning · Computer Science 2021-06-18 Dilip Arumugam , Benjamin Van Roy

In this paper, we examine the convergence landscape of multi-agent learning under uncertainty. Specifically, we analyze two stochastic models of regularized learning in continuous games -- one in continuous and one in discrete time with the…

Computer Science and Game Theory · Computer Science 2025-12-10 Kyriakos Lotidis , Panayotis Mertikopoulos , Nicholas Bambos , Jose Blanchet

Narrow escape and narrow capture problems which describe the average times required to stop the motion of a randomly travelling particle within a domain have applications in various areas of science. While for general domains, it is known…

Statistical Mechanics · Physics 2022-01-14 Jason Gilbert , Alexei Cheviakov

The paper investigates stochastic resource allocation problems with scarce, reusable resources and non-preemtive, time-dependent, interconnected tasks. This approach is a natural generalization of several standard resource management…

Machine Learning · Computer Science 2014-01-16 Balázs Csanád Csáji , László Monostori
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