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Graph Generating Dependencies (GGDs) informally express constraints between two (possibly different) graph patterns which enforce relationships on both graph's data (via property value constraints) and its structure (via topological…

Databases · Computer Science 2022-11-02 Larissa C. Shimomura , Nikolay Yakovets , George Fletcher

Deep graph clustering, which aims to reveal the underlying graph structure and divide the nodes into different clusters without human annotations, is a fundamental yet challenging task. However, we observed that the existing methods suffer…

Computer Vision and Pattern Recognition · Computer Science 2022-02-28 Yue Liu , Sihang Zhou , Xinwang Liu , Wenxuan Tu , Xihong Yang

We propose new graph representations that exploit dense local structure to improve time and space simultaneously. Given an undirected graph $G$, we define a dual clique cover (DCC) representation of $G$ to be the pair $(C, L)$, where $C$ is…

Data Structures and Algorithms · Computer Science 2026-05-01 Ahammed Ullah , Alex Pothen

With the increasing computation of training graph neural networks (GNNs) on large-scale graphs, graph condensation (GC) has emerged as a promising solution to synthesize a compact, substitute graph of the large-scale original graph for…

Machine Learning · Computer Science 2025-10-09 Xinyi Gao , Yayong Li , Tong Chen , Guanhua Ye , Wentao Zhang , Hongzhi Yin

CTR prediction, which aims to estimate the probability that a user will click an item, plays a crucial role in online advertising and recommender system. Feature interaction modeling based and user interest mining based methods are the two…

Information Retrieval · Computer Science 2021-06-09 Wei Guo , Rong Su , Renhao Tan , Huifeng Guo , Yingxue Zhang , Zhirong Liu , Ruiming Tang , Xiuqiang He

Graph condensation (GC), which reduces the size of a large-scale graph by synthesizing a small-scale condensed graph as its substitution, has benefited various graph learning tasks. However, existing GC methods rely on centralized data…

Machine Learning · Computer Science 2024-12-23 Bo Yan , Sihao He , Cheng Yang , Shang Liu , Yang Cao , Chuan Shi

Knowledge Graphs (KGs) have proven highly effective for recommendation systems by capturing latent item relationships, while recent integration of Large Language Models (LLMs) has further enhanced semantic understanding and addressed…

Information Retrieval · Computer Science 2026-05-11 Xinchi Zou , Tongzhenzhi Su , Jianjun Li , Yuan Fu , Chang Liu , Zhiying Deng , Zhiwei Shen

Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal…

Optimization and Control · Mathematics 2025-07-08 Yacine Mokhtari , Emmanuel Moulay , Patrick Coirault , Jérôme Le Ny

Functional Gaussian graphical models (GGM) used for analyzing multivariate functional data customarily estimate an unknown graphical model representing the conditional relationships between the functional variables. However, in many…

Methodology · Statistics 2024-10-03 Debangan Dey , Sudipto Banerjee , Martin Lindquist , Abhirup Datta

Using graphs to model irregular information domains is an effective approach to deal with some of the intricacies of contemporary (network) data. A key aspect is how the data, represented as graph signals, depend on the topology of the…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Fernando J. Iglesias Garcia , Santiago Segarra , Antonio G. Marques

Graph clustering, a classical task in graph learning, involves partitioning the nodes of a graph into distinct clusters. This task has applications in various real-world scenarios, such as anomaly detection, social network analysis, and…

Machine Learning · Computer Science 2024-08-09 Xiaoyang Ji , Yuchen Zhou , Haofu Yang , Shiyue Xu , Jiahao Li

The graph alignment problem, which considers the optimal node correspondence across networks, has recently gained significant attention due to its wide applications. There are graph alignment methods suited for various network types, but we…

Social and Information Networks · Computer Science 2025-05-15 Ashley Wang , Peter Chin

The benefit of localized features within the regular domain has given rise to the use of Convolutional Neural Networks (CNNs) in machine learning, with great proficiency in the image classification. The use of CNNs becomes problematic…

Computer Vision and Pattern Recognition · Computer Science 2016-09-29 Michael Edwards , Xianghua Xie

Graph contrastive learning defines a contrastive task to pull similar instances close and push dissimilar instances away. It learns discriminative node embeddings without supervised labels, which has aroused increasing attention in the past…

Machine Learning · Computer Science 2023-04-25 Lin Shu , Chuan Chen , Zibin Zheng

Many scientific datasets are of high dimension, and the analysis usually requires visual manipulation by retaining the most important structures of data. Principal curve is a widely used approach for this purpose. However, many existing…

Artificial Intelligence · Computer Science 2016-01-19 Qi Mao , Li Wang , Ivor W. Tsang , Yijun Sun

As two fundamental problems, graph cuts and graph matching have been investigated over decades, resulting in vast literature in these two topics respectively. However the way of jointly applying and solving graph cuts and matching receives…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Tianshu Yu , Junchi Yan , Jieyi Zhao , Baoxin Li

In this paper we study the practicality and usefulness of incorporating distributed representations of graphs into models within the context of drug pair scoring. We argue that the real world growth and update cycles of drug pair scoring…

Machine Learning · Computer Science 2022-11-28 Paul Scherer , Pietro Liò , Mateja Jamnik

Subgraph matching is a compute-intensive problem that asks to enumerate all the isomorphic embeddings of a query graph within a data graph. This problem is generally solved with backtracking, which recursively evolves every possible partial…

Databases · Computer Science 2020-12-29 Junya Arai , Makoto Onizuka , Yasuhiro Fujiwara , Sotetsu Iwamura

Learning a graph with a specific structure is essential for interpretability and identification of the relationships among data. It is well known that structured graph learning from observed samples is an NP-hard combinatorial problem. In…

Machine Learning · Statistics 2019-09-26 Sandeep Kumar , Jiaxi Ying , Jos'e Vin'icius de M. Cardoso , Daniel P. Palomar

Self-supervised heterogeneous graph learning (SHGL) has shown promising potential in diverse scenarios. However, while existing SHGL methods share a similar essential with clustering approaches, they encounter two significant limitations:…

Artificial Intelligence · Computer Science 2024-12-03 Yujie Mo , Zhihe Lu , Runpeng Yu , Xiaofeng Zhu , Xinchao Wang