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This paper presents the Persistent Weisfeiler-Lehman Random walk scheme (abbreviated as PWLR) for graph representations, a novel mathematical framework which produces a collection of explainable low-dimensional representations of graphs…

Machine Learning · Computer Science 2022-08-30 Sun Woo Park , Yun Young Choi , Dosang Joe , U Jin Choi , Youngho Woo

Graphs are structured data that models complex relations between real-world entities. Heterophilic graphs, where linked nodes are prone to be with different labels or dissimilar features, have recently attracted significant attention and…

Social and Information Networks · Computer Science 2025-03-21 Chenghua Gong , Yao Cheng , Jianxiang Yu , Can Xu , Caihua Shan , Siqiang Luo , Xiang Li

The multi-label classification problem has generated significant interest in recent years. However, existing approaches do not adequately address two key challenges: (a) the ability to tackle problems with a large number (say millions) of…

Machine Learning · Computer Science 2013-11-26 Hsiang-Fu Yu , Prateek Jain , Purushottam Kar , Inderjit S. Dhillon

In multi-label learning, each instance is associated with multiple labels and the crucial task is how to leverage label correlations in building models. Deep neural network methods usually jointly embed the feature and label information…

Machine Learning · Computer Science 2019-11-18 Liang Yang , Xi-Zhu Wu , Yuan Jiang , Zhi-Hua Zhou

Popular node embedding methods such as DeepWalk follow the paradigm of performing random walks on the graph, and then requiring each node to be proximate to those appearing along with it. Though proved to be successful in various tasks,…

Machine Learning · Computer Science 2022-05-31 Zhengrong Xue , Ziao Guo , Yiwei Guo

In multi-label learning, leveraging contrastive learning to learn better representations faces a key challenge: selecting positive and negative samples and effectively utilizing label information. Previous studies selected positive and…

Machine Learning · Computer Science 2025-02-03 Ning Chen , Shen-Huan Lyu , Tian-Shuang Wu , Yanyan Wang , Bin Tang

This work presents a sound probabilistic method for enforcing adherence of the marginal probabilities of a multi-label model to automatically discovered deterministic relationships among labels. In particular we focus on discovering two…

Machine Learning · Computer Science 2014-04-18 Christina Papagiannopoulou , Grigorios Tsoumakas , Ioannis Tsamardinos

Recently, multi-view and multi-label classification have become significant domains for comprehensive data analysis and exploration. However, incompleteness both in views and labels is still a real-world scenario for multi-view multi-label…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Bingyan Nie , Wulin Xie , Jiang Long , Xiaohuan Lu

With the emergence of graph databases, the task of frequent subgraph discovery has been extensively addressed. Although the proposed approaches in the literature have made this task feasible, the number of discovered frequent subgraphs is…

Databases · Computer Science 2013-08-16 Wajdi Dhifli , Mohamed Moussaoui , Rabie Saidi , Engelbert Mephu Nguifo

Hierarchical multi-label classification (HMLC) is essential for modeling complex label dependencies in remote sensing. Existing methods, however, struggle with multi-path hierarchies where instances belong to multiple branches, and they…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Marjan Stoimchev , Boshko Koloski , Jurica Levatić , Dragi Kocev , Sašo Džeroski

Graph-Convolution-based methods have been successfully applied to representation learning on homophily graphs where nodes with the same label or similar attributes tend to connect with one another. Due to the homophily assumption of Graph…

Machine Learning · Computer Science 2022-06-29 Di Jin , Rui Wang , Meng Ge , Dongxiao He , Xiang Li , Wei Lin , Weixiong Zhang

We present an algorithm to grow a graph with scale-free structure of {\it in-} and {\it out-links} and variable wiring diagram in the class of the world-wide Web. We then explore the graph by intentional random walks using local…

Statistical Mechanics · Physics 2009-11-10 Bosiljka Tadic

Estimating characteristics of large graphs via sampling is a vital part of the study of complex networks. Current sampling methods such as (independent) random vertex and random walks are useful but have drawbacks. Random vertex sampling…

Data Structures and Algorithms · Computer Science 2010-09-08 Bruno Ribeiro , Don Towsley

A large driver of the complexity of graph learning is the interplay between structure and features. When analyzing the expressivity of graph neural networks, however, existing approaches ignore features in favor of structure, making it…

Machine Learning · Computer Science 2026-03-04 Martin Carrasco , Olga Zaghen , Kavir Sumaraj , Erik Bekkers , Bastian Rieck

This paper presents a new graph isomorphism invariant, called $\mathfrak{w}$-labeling, that can be used to design a polynomial-time algorithm for solving the graph isomorphism problem for various graph classes. For example, all…

Data Structures and Algorithms · Computer Science 2023-01-24 Alpár Jüttner , Péter Madarasi

Estimating the trajectories of multi-objects poses a significant challenge due to data association ambiguity, which leads to a substantial increase in computational requirements. To address such problems, a divide-and-conquer manner has…

Signal Processing · Electrical Eng. & Systems 2023-10-24 Ji Youn Lee , Changbeom Shim , Hoa Van Nguyen , Tran Thien Dat Nguyen , Hyunjin Choi , Youngho Kim

Multi-label image and video classification are fundamental yet challenging tasks in computer vision. The main challenges lie in capturing spatial or temporal dependencies between labels and discovering the locations of discriminative…

Computer Vision and Pattern Recognition · Computer Science 2020-03-30 Renchun You , Zhiyao Guo , Lei Cui , Xiang Long , Yingze Bao , Shilei Wen

Although significant progress achieved, multi-label classification is still challenging due to the complexity of correlations among different labels. Furthermore, modeling the relationships between input and some (dull) classes further…

Computer Vision and Pattern Recognition · Computer Science 2020-08-18 Junbing Li , Changqing Zhang , Pengfei Zhu , Baoyuan Wu , Lei Chen , Qinghua Hu

Datasets may contain observations with multiple labels. If the labels are not mutually exclusive, and if the labels vary greatly in frequency, obtaining a sample that includes sufficient observations with scarcer labels to make inferences…

Machine Learning · Computer Science 2026-05-27 Simon Chung , Colby J. Vorland , Donna L. Maney , Andrew W. Brown

Graph contrastive learning (GCL) has achieved remarkable success by following the computer vision paradigm of preserving absolute similarity between augmented views. However, this approach faces fundamental challenges in graphs due to their…

Machine Learning · Computer Science 2025-05-13 Zhiyuan Ning , Pengfei Wang , Ziyue Qiao , Pengyang Wang , Yuanchun Zhou