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Node-level random walk has been widely used to improve Graph Neural Networks. However, there is limited attention to random walk on edge and, more generally, on $k$-simplices. This paper systematically analyzes how random walk on different…

Machine Learning · Computer Science 2023-10-31 Cai Zhou , Xiyuan Wang , Muhan Zhang

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

Graph similarity search is a common and fundamental operation in graph databases. One of the most popular graph similarity measures is the Graph Edit Distance (GED) mainly because of its broad applicability and high interpretability.…

Databases · Computer Science 2018-01-25 Zijian Li , Xun Jian , Xiang Lian , Lei Chen

We investigate hide-and-seek games on complex networks using a random walk framework. Specifically, we investigate the efficiency of various degree-biased random walk search strategies to locate items that are randomly hidden on a subset of…

Physics and Society · Physics 2019-02-20 Shubham Pandey , Reimer Kuehn

Node embeddings have become an ubiquitous technique for representing graph data in a low dimensional space. Graph autoencoders, as one of the widely adapted deep models, have been proposed to learn graph embeddings in an unsupervised way by…

Machine Learning · Computer Science 2019-08-13 Vaibhav , Po-Yao Huang , Robert Frederking

Network embedding has numerous practical applications and has received extensive attention in graph learning, which aims at mapping vertices into a low-dimensional and continuous dense vector space by preserving the underlying structural…

Machine Learning · Computer Science 2024-08-07 Longlong Lin , Yunfeng Yu , Zihao Wang , Zeli Wang , Yuying Zhao , Jin Zhao , Tao Jia

Reliable propagation of information through large networks, e.g., communication networks, social networks or sensor networks is very important in many applications concerning marketing, social networks, and wireless sensor networks.…

Data Structures and Algorithms · Computer Science 2018-05-08 Christian Frey , Andreas Züfle , Tobias Emrich , Matthias Renz

We introduce a decentralized replication strategy for peer-to-peer file exchange based on exhaustive exploration of the neighborhood of any node in the network. The replication scheme lets the replicas evenly populate the network mesh,…

Networking and Internet Architecture · Computer Science 2008-12-18 Nicolas Bonnel , Gilbas Ménier , Pierre-François Marteau

Recently there has been much interest in graph-based learning, with applications in collaborative filtering for recommender networks, link prediction for social networks and fraud detection. These networks can consist of millions of…

Social and Information Networks · Computer Science 2012-06-26 Purnamrita Sarkar , Andrew Moore

The in-memory graph layout or organization has a considerable impact on the time and energy efficiency of distributed memory graph computations. It affects memory locality, inter-task load balance, communication time, and overall memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-04 George M Slota , Sivasankaran Rajamanickam , Kamesh Madduri

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

We pose a new and intriguing question motivated by distributed computing regarding random walks on graphs: How long does it take for several independent random walks, starting from the same vertex, to cover an entire graph? We study the…

Probability · Mathematics 2007-11-20 Noga Alon , Chen Avin , Michal Koucky , Gady Kozma , Zvi Lotker , Mark R. Tuttle

Graph neural networks (GNNs) have recently received significant attention. Learning node-wise message propagation in GNNs aims to set personalized propagation steps for different nodes in the graph. Despite the success, existing methods…

Machine Learning · Computer Science 2023-11-07 Yao Cheng , Minjie Chen , Xiang Li , Caihua Shan , Ming Gao

Entity alignment has always had significant uses within a multitude of diverse scientific fields. In particular, the concept of matching entities across networks has grown in significance in the world of social science as communicative…

Social and Information Networks · Computer Science 2020-04-21 James Flamino , Christopher Abriola , Ben Zimmerman , Zhongheng Li , Joel Douglas

The \emph{Single-Source Personalized PageRank} (SSPPR) query is central to graph OLAP, measuring the probability $\pi(s,t)$ that an $\alpha$-decay random walk from node $s$ terminates at $t$. Despite decades of research, a significant gap…

Data Structures and Algorithms · Computer Science 2026-04-14 Xinpeng Jiang , Haoyu Liu , Siqiang Luo , Xiaokui Xiao

Dense subgraphs of sparse graphs (communities), which appear in most real-world complex networks, play an important role in many contexts. Computing them however is generally expensive. We propose here a measure of similarities between…

Disordered Systems and Neural Networks · Physics 2014-10-13 Matthieu Latapy , Pascal Pons

Modeling the dynamics of people walking is a problem of long-standing interest in computer vision. Many previous works involving pedestrian trajectory prediction define a particular set of individual actions to implicitly model group…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Inhwan Bae , Jin-Hwi Park , Hae-Gon Jeon

We present a novel quasi-Monte Carlo mechanism to improve graph-based sampling, coined repelling random walks. By inducing correlations between the trajectories of an interacting ensemble such that their marginal transition probabilities…

Machine Learning · Statistics 2024-05-27 Isaac Reid , Eli Berger , Krzysztof Choromanski , Adrian Weller

This paper considers the problem of distributed optimization over time-varying graphs. For the case of undirected graphs, we introduce a distributed algorithm, referred to as DIGing, based on a combination of a distributed inexact gradient…

Optimization and Control · Mathematics 2017-03-21 Angelia Nedich , Alex Olshevsky , Wei Shi

Most existing personalization systems promote items that match a user's previous choices or those that are popular among similar users. This results in recommendations that are highly similar to the ones users are already exposed to,…

Social and Information Networks · Computer Science 2021-02-26 Bibek Paudel , Abraham Bernstein