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Related papers: Random Walk Learning and the Pac-Man Attack

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Random walk (RW)-based algorithms have long been popular in distributed systems due to low overheads and scalability, with recent growing applications in decentralized learning. However, their reliance on local interactions makes them…

Multiagent Systems · Computer Science 2026-01-13 Xingran Chen , Parimal Parag , Rohit Bhagat , Salim El Rouayheb

Random walks (RWs) are fundamental stochastic processes with applications across physics, computer science, and information processing. A recent extension, the laser chaos decision-maker, employs chaotic time series from semiconductor…

Probability · Mathematics 2025-11-04 Akihiro Narimatsu , Tomoki Yamagami

Consider the setting of multiple random walks (RWs) on a graph executing a certain computational task. For instance, in decentralized learning via RWs, a model is updated at each iteration based on the local data of the visited node and…

Machine Learning · Computer Science 2025-02-11 Maximilian Egger , Rawad Bitar , Ghadir Ayache , Antonia Wachter-Zeh , Salim El Rouayheb

We consider the problem of a Parameter Server (PS) that wishes to learn a model that fits data distributed on the nodes of a graph. We focus on Federated Learning (FL) as a canonical application. One of the main challenges of FL is the…

Machine Learning · Computer Science 2022-06-03 Ghadir Ayache , Venkat Dassari , Salim El Rouayheb

Random Walks-based Anomaly Detection (RWAD) is commonly used to identify anomalous patterns in various applications. An intriguing characteristic of RWAD is that the input graph can either be pre-existing or constructed from raw features.…

Cryptography and Security · Computer Science 2023-10-25 Yuni Lai , Marcin Waniek , Liying Li , Jingwen Wu , Yulin Zhu , Tomasz P. Michalak , Talal Rahwan , Kai Zhou

Random Walk is a basic algorithm to explore the structure of networks, which can be used in many tasks, such as local community detection and network embedding. Existing random walk methods are based on single networks that contain limited…

Social and Information Networks · Computer Science 2023-07-06 Dongsheng Luo , Yuchen Bian , Yaowei Yan , Xiong Yu , Jun Huan , Xiao Liu , Xiang Zhang

The Random Walks (RW) algorithm is one of the most e - cient and easy-to-use probabilistic segmentation methods. By combining contrast terms with prior terms, it provides accurate segmentations of medical images in a fully automated manner.…

Computer Vision and Pattern Recognition · Computer Science 2013-06-06 Pierre-Yves Baudin , Danny Goodman , Puneet Kumar , Noura Azzabou , Pierre G. Carlier , Nikos Paragios , M. Pawan Kumar

In this article, we generalize the recent Discrete Time Random Walk (DTRW) algorithm, which was introduced for the computation of probability densities of fractional diffusion. Although it has the same computational complexity and shares…

Computational Physics · Physics 2018-08-20 Gurtek Gill , Peter Straka

The Random Walks (RW) algorithm is one of the most e - cient and easy-to-use probabilistic segmentation methods. By combining contrast terms with prior terms, it provides accurate segmentations of medical images in a fully automated manner.…

Computer Vision and Pattern Recognition · Computer Science 2013-09-02 Pierre-Yves Baudin , Danny Goodman , Puneet Kumar , Noura Azzabou , Pierre G. Carlier , Nikos Paragios , M. Pawan Kumar

This paper addresses consensus optimization problems in a multi-agent network, where all agents collaboratively find a minimizer for the sum of their private functions. We develop a new decentralized algorithm in which each agent…

Optimization and Control · Mathematics 2019-07-03 Xianghui Mao , Kun Yuan , Yubin Hu , Yuantao Gu , Ali H. Sayed , Wotao Yin

We revisit a simple model class for machine learning on graphs, where a random walk on a graph produces a machine-readable record, and this record is processed by a deep neural network to directly make vertex-level or graph-level…

Machine Learning · Computer Science 2025-03-06 Jinwoo Kim , Olga Zaghen , Ayhan Suleymanzade , Youngmin Ryou , Seunghoon Hong

We study a family of distributed stochastic optimization algorithms where gradients are sampled by a token traversing a network of agents in random-walk fashion. Typically, these random-walks are chosen to be Markov chains that…

Probability · Mathematics 2024-01-19 Jie Hu , Vishwaraj Doshi , Do Young Eun

The alternating direction method of multipliers (ADMM) has recently been recognized as a promising approach for large-scale machine learning models. However, very few results study ADMM from the aspect of communication costs, especially…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-25 Yu Ye , Hao Chen , Zheng Ma , Ming Xiao

We study the mean traversal time for a class of random walks on Newman-Watts small-world networks, in which steps around the edge of the network occur with a transition rate F that is different from the rate f for steps across small-world…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. E. Parris , V. M. Kenkre

We present analytical results for the distribution of cover times of random walks (RWs) on random regular graphs consisting of $N$ nodes of degree $c$ ($c \ge 3$). Starting from a random initial node at time $t=1$, at each time step $t \ge…

Disordered Systems and Neural Networks · Physics 2021-12-22 Ido Tishby , Ofer Biham , Eytan Katzav

We study decentralized learning over networks where data are distributed across nodes without a central coordinator. Random walk learning is a token-based approach in which a single model is propagated across the network and updated at each…

Machine Learning · Computer Science 2026-04-15 Zonghong Liu , Matthew Dwyer , Salim El Rouayheb

An analytic effective medium theory is constructed to study the mean access times for random walks on hybrid disordered structures formed by embedding complex networks into regular lattices, considering transition rates $F$ that are…

Disordered Systems and Neural Networks · Physics 2009-11-13 Paul E. Parris , Julián Candia , V. M. Kenkre

We consider random walks on discrete state spaces, such as general undirected graphs, where the random walkers are designed to approximate a target quantity over the network topology via sampling and neighborhood exploration in the form of…

Probability · Mathematics 2024-01-30 Vishwaraj Doshi , Jie Hu , Do Young Eun

In this paper, we study the fundamental problem of random walk for network embedding. We propose to use non-Markovian random walk, variants of vertex-reinforced random walk (VRRW), to fully use the history of a random walk path. To solve…

Social and Information Networks · Computer Science 2020-02-12 Wenyi Xiao , Huan Zhao , Vincent W. Zheng , Yangqiu Song

We present an analytical approach to study simple symmetric random walks (RWs) on a crossing geometry consisting of a plane square lattice crossed by $n_l$ number of lines that all meet each other at a single point (the origin) on the…

Statistical Mechanics · Physics 2019-09-02 Reza Sepehrinia , Abbas Ali Saberi , Hor Dashti-Naserabadi
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