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Given a real-world graph, how can we measure relevance scores for ranking and link prediction? Random walk with restart (RWR) provides an excellent measure for this and has been applied to various applications such as friend recommendation,…

Social and Information Networks · Computer Science 2017-10-19 Woojeong Jin , Jinhong Jung , U Kang

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

Multiplex networks are receiving increasing interests because they allow to model relationships between networked agents on several layers simultaneously. In this supplementary material for the paper "Navigability of interconnected networks…

Physics and Society · Physics 2014-05-28 M. De Domenico , A. Sole , S. Gomez , A. Arenas

Due to wide applications in diverse fields, random walks subject to stochastic resetting have attracted considerable attention in the last decade. In this paper, we study discrete-time random walks on complex network with multiple resetting…

Statistical Mechanics · Physics 2021-10-01 Shuang Wang , Hanshuang Chen , Feng Huang

Random walk-based sampling methods are gaining popularity and importance in characterizing large networks. While powerful, they suffer from the slow mixing problem when the graph is loosely connected, which results in poor estimation…

Social and Information Networks · Computer Science 2017-08-31 Junzhou Zhao , Pinghui Wang , John C. S. Lui , Don Towsley , Xiaohong Guan

Multi-layered network exploration (MuLaNE) problem is an important problem abstracted from many applications. In MuLaNE, there are multiple network layers where each node has an importance weight and each layer is explored by a random walk.…

Machine Learning · Computer Science 2021-06-10 Xutong Liu , Jinhang Zuo , Xiaowei Chen , Wei Chen , John C. S. Lui

The analysis of large collections of image data is still a challenging problem due to the difficulty of capturing the true concepts in visual data. The similarity between images could be computed using different and possibly multimodal…

Information Retrieval · Computer Science 2017-03-07 Renata Khasanova , Xiaowen Dong , Pascal Frossard

Over the last few years, network science has proved to be useful in modeling a variety of complex systems, composed of a large number of interconnected units. The intricate pattern of interactions often allows the system to achieve complex…

Physics and Society · Physics 2024-05-30 Jean-François de Kemmeter , Timoteo Carletti

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

In the information overloaded web, personalized recommender systems are essential tools to help users find most relevant information. The most heavily-used recommendation frameworks assume user interactions that are characterized by a…

Information Retrieval · Computer Science 2017-03-06 Fatemeh Vahedian , Robin Burke , Bamshad Mobasher

Multilayer network is a potent platform which paves a way to study the interactions among entities in various networks with multiple types of relationships. In this study, the dynamics of discrete-time quantum walk on a multilayer network…

Quantum Physics · Physics 2023-10-05 M. N. Jayakody , Priodyuti Pradhan , Dana Ben Porath , E. Cohen

Higher-order proximity preserved network embedding has attracted increasing attention. In particular, due to the superior scalability, random-walk-based network embedding has also been well developed, which could efficiently explore…

Machine Learning · Computer Science 2021-04-08 Jianxin Li , Cheng Ji , Hao Peng , Yu He , Yangqiu Song , Xinmiao Zhang , Fanzhang Peng

Representation learning of networks has witnessed significant progress in recent times. Such representations have been effectively used for classic network-based machine learning tasks like node classification, link prediction, and network…

Social and Information Networks · Computer Science 2018-12-07 Arunkumar Bagavathi , Siddharth Krishnan

Given a large graph, how can we determine similarity between nodes in a fast and accurate way? Random walk with restart (RWR) is a popular measure for this purpose and has been exploited in numerous data mining applications including…

Social and Information Networks · Computer Science 2017-12-05 Minji Yoon , Jinhong Jung , U Kang

Network embedding approaches are gaining momentum to analyse a large variety of networks. Indeed, these approaches have demonstrated their efficiency for tasks such as community detection, node classification, and link prediction. However,…

Machine Learning · Computer Science 2021-01-06 Léo Pio-Lopez , Alberto Valdeolivas , Laurent Tichit , Élisabeth Remy , Anaïs Baudot

Random walk sampling methods have been widely used in graph sampling in recent years, while it has bias towards higher degree nodes in the sample. To overcome this deficiency, classical methods such as MHRW design weighted walking by…

Methodology · Statistics 2022-09-27 Xiao Qi

Between matrix factorization or Random Walk with Restart (RWR), which method works better for recommender systems? Which method handles explicit or implicit feedback data better? Does additional information help recommendation? Recommender…

Information Retrieval · Computer Science 2017-11-07 Haekyu Park , Jinhong Jung , U Kang

Random walks are gaining much attention from the networks research community. They are the basis of many proposals aimed to solve a variety of network-related problems such as resource location, network construction, nodes sampling, etc.…

Disordered Systems and Neural Networks · Physics 2009-08-06 Luis Rodero-Merino , Antonio Fernandez Anta , Luis Lopez , Vicent Chovi

Graph sampling via crawling has been actively considered as a generic and important tool for collecting uniform node samples so as to consistently estimate and uncover various characteristics of complex networks. The so-called simple random…

Methodology · Statistics 2012-04-19 Chul-Ho Lee , Xin Xu , Do Young Eun

A new class of one-dimensional, discrete time random walk model with memory, termed "Random walk with $n$ memory channels" (RW$n$MC) is proposed. In this model the information of $n$ ($n\in \mathbb{Z}$) previous steps from the walker's…

Statistical Mechanics · Physics 2025-06-19 Surajit Saha
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