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Data redundancy is ubiquitous in the inputs and intermediate results of Deep Neural Networks (DNN). It offers many significant opportunities for improving DNN performance and efficiency and has been explored in a large body of work. These…

机器学习 · 计算机科学 2022-08-30 Jou-An Chen , Wei Niu , Bin Ren , Yanzhi Wang , Xipeng Shen

We introduce and formulate two types of random-walk domination problems in graphs motivated by a number of applications in practice (e.g., item-placement problem in online social network, Ads-placement problem in advertisement networks, and…

社会与信息网络 · 计算机科学 2013-02-20 Rong-Hua Li , Jeffrey Xu Yu , Xin Huang , Hong Cheng

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

We consider a random walker whose motion is tethered around a focal point. We use two models that exhibit the same spatial dependence in the steady state but widely different dynamics. In one case, the walker is subject to a deterministic…

统计力学 · 物理学 2019-01-11 Luca Giuggioli , Shamik Gupta , Matt Chase

The integer points (sites) of the real line are marked by the positions of a standard random walk. We say that the set of marked sites is weakly, moderately or strongly sparse depending on whether the jumps of the standard random walk are…

We revisit the linear search problem where a robot, initially placed at the origin on an infinite line, tries to locate a stationary target placed at an unknown position on the line. Unlike previous studies, in which the robot travels along…

数据结构与算法 · 计算机科学 2017-01-12 Jurek Czyzowicz , Evangelos Kranakis , Danny Krizanc , Lata Narayanan , Jaroslav Opatrny , Sunil Shende

This review examines intermittent target search strategies, which combine phases of slow motion, allowing the searcher to detect the target, and phases of fast motion during which targets cannot be detected. We first show that intermittent…

统计力学 · 物理学 2015-05-27 O. Bénichou , C. Loverdo , M. Moreau , R. Voituriez

In this chapter, we review recent results on the starving random walk (RW) problem, a minimal model for resource-limited exploration. Initially, each lattice site contains a single food unit, which is consumed upon visitation by the RW. The…

统计力学 · 物理学 2024-06-21 Léo Régnier , Maxim Dolgushev , Olivier Bénichou

The random walk process underlies the description of a large number of real world phenomena. Here we provide the study of random walk processes in time varying networks in the regime of time-scale mixing; i.e. when the network connectivity…

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…

适应与自组织系统 · 物理学 2025-11-17 Jason Hindes , George Stantchev , Klimka Szwaykowska Kasraie , Ira B. Schwartz

The model of a tired random walker, whose jump-length decays exponentially in time, is proposed and the motion of such a tired random walker is studied systematically in one, two and three dimensional contin- uum. In all cases, the…

统计力学 · 物理学 2015-11-17 Muktish Acharyya

The mean completion time of a stochastic process may be rendered finite and minimised by a judiciously chosen restart protocol, which may either be stochastic or deterministic. Here we study analytically an arbitrary stochastic search…

定量方法 · 定量生物学 2016-09-14 Kabir Husain , Sandeep Krishna

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…

A random walk on a $N$-dimensional hypercube is a discrete time stochastic process whose state space is the set $\{-1,+1\}^{N}$, which has uniform probability of reaching any neighbour state, and probability zero of reaching a non-neighbour…

概率论 · 数学 2019-10-22 Cláudia Peixoto , Diego Marcondes

We investigate searching efficiency of different kinds of random walk on complex networks which rely on local information and one-step memory. For the studied navigation strategies we obtained theoretical and numerical values for the graph…

计算机与社会 · 计算机科学 2024-11-15 Miroslav Mirchev , Lasko Basnarkov , Igor Mishkovski

We consider biased random walks on random networks constituted by a random comb comprising a backbone with quenched-disordered random-length branches. The backbone and the branches run in the direction of the bias. For the bare model as…

统计力学 · 物理学 2025-06-09 Mrinal Sarkar , Shamik Gupta

The problem of detecting a few anomalous processes among a large number of data streams is considered. At each time, aggregated observations can be taken from a chosen subset of the processes, where the chosen subset conforms to a given…

信息论 · 计算机科学 2018-08-17 Chao Wang , Kobi Cohen , Qing Zhao

A single target is hidden at a location chosen from a predetermined probability distribution. Then, a searcher must find a second probability distribution from which random search points are sampled such that the target is found in the…

数据分析、统计与概率 · 物理学 2013-05-29 Joseph Snider

The effectiveness of collective navigation of biological or artificial agents requires to accommodate for contrasting requirements, such as staying in a group while avoiding close encounters and at the same time limiting the energy…

统计力学 · 物理学 2021-08-06 Francesco Borra , Massimo Cencini , Antonio Celani

We review some of our work regarding search which has been motivated by a variety of applications in engineering and technology, including traffic routing and security in communication networks, explosive mine detection and removal,…

统计力学 · 物理学 2013-07-16 Erol Gelenbe , Omer H. Abdelrahman
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