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In this paper, we consider discrete time quantum walks on graphs with coin focusing on the decentralized model, where the coin operation is allowed to change with the vertex of the graph. When the coin operations can be modified at every…

Quantum Physics · Physics 2010-06-15 Francesca Albertini , Domenico D'Alessandro

Random walks find extensive application across various complex network domains, including embedding generation and link prediction. Despite the widespread utilization of random walks, the precise impact of distinct biases on embedding…

Social and Information Networks · Computer Science 2023-08-08 Adilson Vital , Filipi N. Silva , Diego R. Amancio

Decentralized learning has emerged as an alternative method to the popular parameter-server framework which suffers from high communication burden, single-point failure and scalability issues due to the need of a central server. However,…

Machine Learning · Computer Science 2023-12-19 Guojun Xiong , Gang Yan , Shiqiang Wang , Jian Li

Graph vertex embeddings based on random walks have become increasingly influential in recent years, showing good performance in several tasks as they efficiently transform a graph into a more computationally digestible format while…

Machine Learning · Statistics 2021-07-22 Dominik Kloepfer , Angelica I. Aviles-Rivero , Daniel Heydecker

Reinforcement learning (RL) is a foundation of learning in biological systems and provides a framework to address numerous challenges with real-world artificial intelligence applications. Efficient implementations of RL techniques could…

Machine Learning · Computer Science 2021-09-29 Wilkie Olin-Ammentorp , Yury Sokolov , Maxim Bazhenov

Network embedding algorithms are able to learn latent feature representations of nodes, transforming networks into lower dimensional vector representations. Typical key applications, which have effectively been addressed using network…

Machine Learning · Computer Science 2018-09-10 Duong Nguyen , Fragkiskos D. Malliaros

Multi-robot navigation in unknown, structurally constrained, and GPS-denied environments presents a fundamental trade-off between global strategic foresight and local tactical agility, particularly under limited communication. Centralized…

Robotics · Computer Science 2025-10-13 Zihao Mao , Yunheng Wang , Yunting Ji , Yi Yang , Wenjie Song

We study real-time sampling and estimation of autoregressive Markovian sources in decentralized and dynamic multi-hop networks that share similar structures. Nodes cache neighboring samples and communicate over wireless collision channels.…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Xingran Chen , Navid NaderiAlizadeh , Alejandro Ribeiro , Shirin Saeedi Bidokhti

Efficient techniques to navigate networks with local information are fundamental to sample large-scale online social systems and to retrieve resources in peer-to-peer systems. Biased random walks, i.e. walks whose motion is biased on…

Physics and Society · Physics 2016-06-29 Federico Battiston , Vincenzo Nicosia , Vito Latora

Effective communication is key to successful, decentralized, multi-robot path planning. Yet, it is far from obvious what information is crucial to the task at hand, and how and when it must be shared among robots. To side-step these issues…

Robotics · Computer Science 2020-07-15 Qingbiao Li , Fernando Gama , Alejandro Ribeiro , Amanda Prorok

Augmenting federated learning (FL) with direct device-to-device (D2D) communications can help improve convergence speed and reduce model bias through rapid local information exchange. However, data privacy concerns, device trust issues, and…

Signal Processing · Electrical Eng. & Systems 2023-08-09 Satyavrat Wagle , Anindya Bijoy Das , David J. Love , Christopher G. Brinton

We consider the setting where a team of robots is tasked with tracking multiple targets with the following property: approaching the targets enables more accurate target position estimation, but also increases the risk of sensor failures.…

Robotics · Computer Science 2022-10-18 Jiazhen Liu , Lifeng Zhou , Ragesh Ramachandran , Gaurav S. Sukhatme , Vijay Kumar

Two widely considered decentralized learning algorithms are Gossip and random walk-based learning. Gossip algorithms (both synchronous and asynchronous versions) suffer from high communication cost, while random-walk based learning…

Machine Learning · Computer Science 2024-05-14 Peyman Gholami , Hulya Seferoglu

This paper investigates matrix scaling processes in the context of local normalization algorithms and their convergence behavior. Starting from the classical Sinkhorn algorithm, the authors introduce a generalization where only a single row…

Optimization and Control · Mathematics 2025-06-11 Giacomo Aletti , Giovanni Naldi

We define the Uniform Random Walk (URW) on a connected, locally finite graph as the weak limit of the uniform walk of length $n$ starting at a fixed vertex. When the limit exists, it is necessarily Markovian and is independent of the…

Probability · Mathematics 2025-12-11 Miklos Abert , Adam Arras , Jaelin Kim

In this paper we introduce the notion of Random Walk in Changing Environment - a random walk in which each step is performed in a different graph on the same set of vertices, or more generally, a weighted random walk on the same vertex and…

Probability · Mathematics 2017-07-05 Gideon Amir , Itai Benjamini , Ori Gurel-Gurevich , Gady Kozma

Dynamical systems consisting of a set of autonomous agents face the challenge of having to accomplish a global task, relying only on local information. While centralized controllers are readily available, they face limitations in terms of…

Machine Learning · Computer Science 2022-03-24 Fernando Gama , Qingbiao Li , Ekaterina Tolstaya , Amanda Prorok , Alejandro Ribeiro

We generalize a result from Volkov [Ann. Probab. 29 (2001) 66--91] and prove that, on a large class of locally finite connected graphs of bounded degree $(G,\sim)$ and symmetric reinforcement matrices $a=(a_{i,j})_{i,j\in G}$, the…

Probability · Mathematics 2012-01-18 Michel Benaïm , Pierre Tarrès

The rotor-router model, also called the Propp machine, was introduced as a deterministic alternative to the random walk. In this model, a group of identical tokens are initially placed at nodes of the graph. Each node maintains a cyclic…

Discrete Mathematics · Computer Science 2015-05-29 Jérémie Chalopin , Shantanu Das , Pawel Gawrychowski , Adrian Kosowski , Arnaud Labourel , Przemyslaw Uznański

Graph-structured data such as social networks, functional brain networks, gene regulatory networks, communications networks have brought the interest in generalizing deep learning techniques to graph domains. In this paper, we are…

Machine Learning · Computer Science 2018-04-25 Xavier Bresson , Thomas Laurent