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We analyze a one-dimensional intermittent random walk on an unbounded domain in the presence of stochastic resetting. In this process, the walker alternates between local intensive search, diffusion, and rapid ballistic relocations in which…

Statistical Mechanics · Physics 2024-01-31 Rosa Flaquer-Galmés , Daniel Campos , Vicenç Méndez

We introduce and study the general setting of weighted search in which a number of targets, each with a certain weight, are hidden in a star-like environment that consists of $m$ infinite, concurrent rays, with a common origin. A mobile…

Data Structures and Algorithms · Computer Science 2021-05-05 Spyros Angelopoulos , Konstantinos Panagiotou

Recently numerous machine learning based methods for combinatorial optimization problems have been proposed that learn to construct solutions in a sequential decision process via reinforcement learning. While these methods can be easily…

Machine Learning · Computer Science 2022-03-16 André Hottung , Yeong-Dae Kwon , Kevin Tierney

Oftentimes in practice, the observed process changes statistical properties at an unknown point in time and the duration of a change is substantially finite, in which case one says that the change is intermittent or transient. We provide an…

Applications · Statistics 2023-04-11 Grigory Sokolov , Valentin S. Spivak , Alexander G. Tartakovsky

We consider the problem of searching for an intruder in a geometric domain by utilizing multiple search robots. The domain is a simply connected orthogonal polygon with edges parallel to the cartesian coordinate axes. Each robot has a…

Robotics · Computer Science 2025-11-06 Swadhin Agrawal , Sujoy Bhore , Joseph S. B. Mitchell , P. B. Sujit , Aayush Gohil

In this work and the supporting Parts II [2] and III [3], we provide a rather detailed analysis of the stability and performance of asynchronous strategies for solving distributed optimization and adaptation problems over networks. We…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

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…

When navigating complex environments, animals often combine multiple strategies to mitigate the effects of external disturbances. These modalities often correspond to different sources of information, leading to speed-accuracy trade-offs.…

Statistical Mechanics · Physics 2025-09-19 Francesco Mori , L. Mahadevan

A variety of experimental techniques have improved the 2D and 3D spatial resolution that can be extracted from \emph{in vivo} single-molecule measurements. This enables researchers to quantitatively infer the magnitude and directionality of…

Quantitative Methods · Quantitative Biology 2015-06-18 Christopher P. Calderon , Lucien E. Weiss , W. E. Moerner

Finding the best strategy to minimize the time needed to find a given target is a crucial task both in nature and in reaching decisive technological advances. By considering learning agents able to switch their dynamics between standard and…

The kinetics of a variety of transport-controlled processes can be reduced to the problem of determining the mean time needed to arrive at a given location for the first time, the so called mean first passage time (MFPT) problem. The…

Statistical Mechanics · Physics 2015-06-11 Aljaz Godec , Ralf Metzler

Strong experimental and theoretical evidence shows that transcription factors and other specific DNA-binding proteins find their sites using a two-mode search: alternating between 3D diffusion through the cell and 1D sliding along the DNA.…

Biomolecules · Quantitative Biology 2008-06-11 Zeba Wunderlich , Leonid A. Mirny

We study a protein-DNA target search model with explicit DNA dynamics applicable to in vitro experiments. We show that the DNA dynamics plays a crucial role for the effectiveness of protein "jumps" between sites distant along the DNA…

Biomolecules · Quantitative Biology 2015-05-30 Thomas Schötz , Richard A. Neher , Ulrich Gerland

The absence of an algorithm that effectively monitors deep learning models used in side-channel attacks increases the difficulty of evaluation. If the attack is unsuccessful, the question is if we are dealing with a resistant implementation…

Cryptography and Security · Computer Science 2021-11-30 Servio Paguada , Lejla Batina , Ileana Buhan , Igor Armendariz

We study first-passage time problems for a diffusive particle with stochastic resetting with a finite rate $r$. The optimal search time is compared quantitatively with that of an effective equilibrium Langevin process with the same…

Statistical Mechanics · Physics 2015-06-12 Martin R. Evans , Satya N. Majumdar , Kirone Mallick

Consider the model where particles are initially distributed on $\mathbb{Z}^d, \, d\geq 2$, according to a Poisson point process of intensity $\lambda>0$, and are moving in continuous time as independent simple symmetric random walks. We…

Probability · Mathematics 2013-12-31 Vladas Sidoravicius , Alexandre Stauffer

The efficiency of any metaheuristic algorithm largely depends on the way of balancing local intensive exploitation and global diverse exploration. Studies show that bat algorithm can provide a good balance between these two key components…

Optimization and Control · Mathematics 2014-08-25 Xin-She Yang , Suash Deb , Simon Fong

We introduce the study of search games between a mobile Searcher and an immobile Hider in a new setting in which the Searcher has some potentially erroneous information, i.e., a prediction on the Hider's position. The objective is to…

Computer Science and Game Theory · Computer Science 2024-09-05 Spyros Angelopoulos , Thomas Lidbetter , Konstantinos Panagiotou

Discrete-time random walks and their extensions are common tools for analyzing animal movement data. In these analyses, resolution of temporal discretization is a critical feature. Ideally, a model both mirrors the relevant temporal scale…

Quantitative Methods · Quantitative Biology 2015-08-27 Ulrike E. Schlägel , Mark A. Lewis

This paper analyses a $(1,\lambda)$-Evolution Strategy, a randomised comparison-based adaptive search algorithm, on a simple constraint optimisation problem. The algorithm uses resampling to handle the constraint and optimizes a linear…

Neural and Evolutionary Computing · Computer Science 2014-12-09 Alexandre Chotard , Anne Auger , Nikolaus Hansen