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Mining subgraphs with interesting structural properties from networks (or graphs) is a computationally challenging task. In this paper, we propose two algorithms for enumerating all connected induced subgraphs of a given cardinality from…

Data Structures and Algorithms · Computer Science 2023-03-17 Shanshan Wang , Chenglong Xiao

Consider $n$ agents connected over a network collaborating to minimize the average of their local cost functions combined with a common nonsmooth function. This paper introduces a unified algorithmic framework for solving such a problem…

Optimization and Control · Mathematics 2026-05-05 Kun Huang , Shi Pu , Angelia Nedić

Graph matching is a challenging problem with very important applications in a wide range of fields, from image and video analysis to biological and biomedical problems. We propose a robust graph matching algorithm inspired in…

Optimization and Control · Mathematics 2013-11-26 Marcelo Fiori , Pablo Sprechmann , Joshua Vogelstein , Pablo Musé , Guillermo Sapiro

Most existing deep learning models are trained based on the closed-world assumption, where the test data is assumed to be drawn i.i.d. from the same distribution as the training data, known as in-distribution (ID). However, when models are…

Machine Learning · Computer Science 2022-11-09 Yixin Liu , Kaize Ding , Huan Liu , Shirui Pan

Recently, Graph Neural Networks (GNNs) have greatly advanced the task of graph classification. Typically, we first build a unified GNN model with graphs in a given training set and then use this unified model to predict labels of all the…

Machine Learning · Computer Science 2021-12-15 Yiqi Wang , Yao Ma , Wei Jin , Chaozhuo Li , Charu Aggarwal , Jiliang Tang

Approximate subgraph matching (ASM) is a task that determines the approximate presence of a given query graph in a large target graph. Being an NP-hard problem, ASM is critical in graph analysis with a myriad of applications ranging from…

Machine Learning · Computer Science 2026-03-20 Kaiyang Li , Shihao Ji , Zhipeng Cai , Wei Li

We discuss the problem of extending data mining approaches to cases in which data points arise in the form of individual graphs. Being able to find the intrinsic low-dimensionality in ensembles of graphs can be useful in a variety of…

Social and Information Networks · Computer Science 2016-12-12 Karthikeyan Rajendran , Assimakis A. Kattis , Alexander Holiday , Risi Kondor , Ioannis G. Kevrekidis

Given a query graph that represents a pattern of interest, the emerging pattern detection problem can be viewed as a continuous query problem on a dynamic graph. We present an incremental algorithm for continuous query processing on dynamic…

Databases · Computer Science 2014-07-15 Sutanay Choudhury , Lawrence Holder , George Chin , Patrick Mackey , Khushbu Agarwal , John Feo

As the popularity of graph data increases, there is a growing need to count the occurrences of subgraph patterns of interest, for a variety of applications. Many graphs are massive in scale and also fully dynamic (with insertions and…

Databases · Computer Science 2022-11-15 Kaixin Wang , Cheng Long , Da Yan , Jie Zhang , H. V. Jagadish

Finding dense bipartite subgraphs and detecting the relations among them is an important problem for affiliation networks that arise in a range of domains, such as social network analysis, word-document clustering, the science of science,…

Social and Information Networks · Computer Science 2017-11-29 A. Erdem Sariyuce , Ali Pinar

As one of the most fundamental tasks in graph theory, subgraph matching is a crucial task in many fields, ranging from information retrieval, computer vision, biology, chemistry and natural language processing. Yet subgraph matching problem…

Machine Learning · Computer Science 2022-09-19 Zixun Lan , Limin Yu , Linglong Yuan , Zili Wu , Qiang Niu , Fei Ma

Geometric graphs form an important family of hidden structures behind data. In this paper, we develop an efficient and robust algorithm to infer a graph skeleton of a high-dimensional point cloud dataset (PCD). Previously, there has been…

Computational Geometry · Computer Science 2022-10-17 Lucas Magee , Yusu Wang

Deep neural networks (DNN) have achieved great success in image restoration. However, most DNN methods are designed as a black box, lacking transparency and interpretability. Although some methods are proposed to combine traditional…

Computer Vision and Pattern Recognition · Computer Science 2022-04-29 Chong Mou , Qian Wang , Jian Zhang

Dense subgraph search in bipartite graphs is a fundamental problem in graph analysis, with wide-ranging applications in fraud detection, recommendation systems, and social network analysis. The recently proposed $(\alpha, \beta)$-dense…

Databases · Computer Science 2025-08-27 Yalong Zhang , Rong-Hua Li , Qi Zhang , Guoren Wang

This paper addresses matrix approximation problems for matrices that are large, sparse and/or that are representations of large graphs. To tackle these problems, we consider algorithms that are based primarily on coarsening techniques,…

Numerical Analysis · Computer Science 2018-10-03 Shashanka Ubaru , Yousef Saad

Given a graph and an integer $k$, Densest $k$-Subgraph is the algorithmic task of finding the subgraph on $k$ vertices with the maximum number of edges. This is a fundamental problem that has been subject to intense study for decades, with…

Computational Complexity · Computer Science 2023-03-31 Chris Jones , Aaron Potechin , Goutham Rajendran , Jeff Xu

This paper studies the problem of detecting anomalous graphs using a machine learning model trained on only normal graphs, which has many applications in molecule, biology, and social network data analysis. We present a self-discriminative…

Machine Learning · Computer Science 2023-10-11 Jinyu Cai , Yunhe Zhang , Jicong Fan

Graph Anomaly Detection (GAD) has recently become a hot research spot due to its practicability and theoretical value. Since GAD emphasizes the application and the rarity of anomalous samples, enriching the varieties of its datasets is…

Social and Information Networks · Computer Science 2023-06-12 Xuanwen Huang , Yang Yang , Yang Wang , Chunping Wang , Zhisheng Zhang , Jiarong Xu , Lei Chen , Michalis Vazirgiannis

Computing subgraph frequencies is a fundamental task that lies at the core of several network analysis methodologies, such as network motifs and graphlet-based metrics, which have been widely used to categorize and compare networks from…

Data Structures and Algorithms · Computer Science 2021-12-30 Pedro Ribeiro , Pedro Paredes , Miguel E. P. Silva , David Aparicio , Fernando Silva

Given a labeled graph, the frequent-subgraph mining (FSM) problem asks to find all the $k$-vertex subgraphs that appear with frequency greater than a given threshold. FSM has numerous applications ranging from biology to network science, as…

Data Structures and Algorithms · Computer Science 2018-09-11 Cigdem Aslay , Muhammad Anis Uddin Nasir , Gianmarco De Francisci Morales , Aristides Gionis