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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.…

统计力学 · 物理学 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…

概率论 · 数学 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…

神经元与认知 · 定量生物学 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…

人工智能 · 计算机科学 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…

数据分析、统计与概率 · 物理学 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…

机器学习 · 计算机科学 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…

社会与信息网络 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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.…

社会与信息网络 · 计算机科学 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…

概率论 · 数学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

分布式、并行与集群计算 · 计算机科学 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…

物理与社会 · 物理学 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…

机器学习 · 计算机科学 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…

信息检索 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算与语言 · 计算机科学 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…

社会与信息网络 · 计算机科学 2025-05-08 Fei Ma , Xincheng Hu , Haobin Shi , Wei Pan , Ping Wang