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For more than a century lattice random walks have been employed ubiquitously, both as a theoretical laboratory to develop intuition about more complex stochastic processes and as a tool to interpret a vast array of empirical observations.…

Statistical Mechanics · Physics 2024-12-31 Luca Giuggioli , Seeralan Sarvaharman , Debraj Das , Daniel Marris , Toby Kay

The node2vec random walk has proven to be a key tool in network embedding algorithms. These random walks are tuneable, and their transition probabilities depend on the previous visited node and on the triangles containing the current and…

Probability · Mathematics 2025-06-16 Lars Schroeder , Clara Stegehuis

The hippocampus supports spatial navigation by encoding cognitive maps through collective place cell activity. We model the place cell population as non-negative spatial embeddings derived from the spectral decomposition of multi-step…

Neurons and Cognition · Quantitative Biology 2025-10-28 Minglu Zhao , Dehong Xu , Deqian Kong , Wen-Hao Zhang , Ying Nian Wu

Most real-world datasets are inherently heterogeneous graphs, which involve a diversity of node and relation types. Heterogeneous graph embedding is to learn the structure and semantic information from the graph, and then embed it into the…

Artificial Intelligence · Computer Science 2021-03-12 Bang Lin , Xiuchong Wang , Yu Dong , Chengfu Huo , Weijun Ren , Chuanyu Xu

The problem of missing link prediction in complex networks has attracted much attention recently. Two difficulties in link prediction are the sparsity and huge size of the target networks. Therefore, the design of an efficient and effective…

Data Analysis, Statistics and Probability · Physics 2010-04-23 Weiping Liu , Linyuan Lu

Numerous real-world information networks form Heterogeneous Information Networks (HINs) with diverse objects and relations represented as nodes and edges in heterogeneous graphs. Similarity between nodes quantifies how closely two nodes…

Machine Learning · Computer Science 2025-02-27 Xuqi Mao , Zhenyi Chen , Zhenying He , Yinan Jing , Kai Zhang , X. Sean Wang

As a powerful representation paradigm for networked and multi-typed data, the heterogeneous information network (HIN) is ubiquitous. Meanwhile, defining proper relevance measures has always been a fundamental problem and of great pragmatic…

Social and Information Networks · Computer Science 2019-02-22 Yu Shi , Po-Wei Chan , Honglei Zhuang , Huan Gui , Jiawei Han

Network embedding is an effective method to learn low-dimensional representations of nodes, which can be applied to various real-life applications such as visualization, node classification, and link prediction. Although significant…

Machine Learning · Computer Science 2020-03-31 Shixun Huang , Zhifeng Bao , Guoliang Li , Yanghao Zhou , J. Shane Culpepper

Self-supervised learning (SSL) methods have been increasingly applied to diverse downstream tasks due to their superior generalization capabilities and low annotation costs. However, most existing heterogeneous graph SSL models convert…

Machine Learning · Computer Science 2025-06-10 Di Lin , Wanjing Ren , Xuanbin Li , Rui Zhang

Network embedding aims to learn low-dimensional representations of nodes while capturing structure information of networks. It has achieved great success on many tasks of network analysis such as link prediction and node classification.…

Social and Information Networks · Computer Science 2020-04-03 Hansheng Xue , Luwei Yang , Wen Jiang , Yi Wei , Yi Hu , Yu Lin

In this paper, we propose and analyze a novel one-dimensional inhomogeneous random walk model that combines spatial decay of transition probabilities with a temporal renewal structure for each excursion. In this model, the probability of…

Probability · Mathematics 2026-04-27 Naohiro Yoshida

Random walk-based node embedding algorithms have attracted a lot of attention due to their scalability and ease of implementation. Previous research has focused on different walk strategies, optimization objectives, and embedding learning…

Machine Learning · Computer Science 2025-01-23 Konstantin Kutzkov

Graph Representation Learning (GRL) has become a key paradigm in network analysis, with a plethora of interdisciplinary applications. As the scale of networks increases, most of the widely used learning-based graph representation models…

Machine Learning · Computer Science 2022-10-12 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros , Apostolos N. Papadopoulos

We focus on the problem of performing random walks efficiently in a distributed network. Given bandwidth constraints, the goal is to minimize the number of rounds required to obtain a random walk sample. We first present a fast sublinear…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-03-03 Atish Das Sarma , Danupon Nanongkai , Gopal Pandurangan , Prasad Tetali

Virtually all real-world networks are dynamical entities. In social networks, the propensity of nodes to engage in social interactions (activity) and their chances to be selected by active nodes (attractiveness) are heterogeneously…

Physics and Society · Physics 2017-06-13 Laura Alessandretti , Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

In this work, Transition Probability Matrix (TPM) is proposed as a new method for extracting the features of nodes in the graph. The proposed method uses random walks to capture the connectivity structure of a node's close neighborhood. The…

Machine Learning · Computer Science 2023-03-07 Sarmad N. Mohammed , Semra Gündüç

There is an influx of heterogeneous information network (HIN) based recommender systems in recent years since HIN is capable of characterizing complex graphs and contains rich semantics. Although the existing approaches have achieved…

Information Retrieval · Computer Science 2020-07-02 Jiarui Jin , Jiarui Qin , Yuchen Fang , Kounianhua Du , Weinan Zhang , Yong Yu , Zheng Zhang , Alexander J. Smola

Deep embedding methods have influenced many areas of unsupervised learning. However, the best methods for learning hierarchical structure use non-Euclidean representations, whereas Euclidean geometry underlies the theory behind many…

Machine Learning · Computer Science 2020-11-02 Jinyu Zhao , Yi Hao , Cyrus Rashtchian

Heterogeneous Information Network (HIN) is essential to study complicated networks containing multiple edge types and node types. Meta-path, a sequence of node types and edge types, is the core technique to embed HINs. Since manually…

Computation and Language · Computer Science 2022-10-17 Zequn Liu , Kefei Duan , Junwei Yang , Hanwen Xu , Ming Zhang , Sheng Wang

Hypergraph has been selected as a powerful candidate for characterizing higher-order networks and has received increasing attention in recent years. In this article, we study random walks with resetting on hypergraph by utilizing spectral…

Social and Information Networks · Computer Science 2025-05-08 Fei Ma , Xincheng Hu , Haobin Shi , Wei Pan , Ping Wang