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This paper studies reduced-order modeling of dynamic networks with strongly connected topology. Given a graph clustering of an original complex network, we construct a quotient graph with less number of vertices, where the edge weights are…

Optimization and Control · Mathematics 2020-03-10 Xiaodong Cheng , Lanlin Yu , Dingchao Ren , Jacquelien M. A. Scherpen

Graph classification has practical applications in diverse fields. Recent studies show that graph-based machine learning models are especially vulnerable to adversarial perturbations due to the non i.i.d nature of graph data. By adding or…

Machine Learning · Computer Science 2020-09-15 Zhidong Gao , Rui Hu , Yanmin Gong

Graph classification is an important learning task for graph-structured data. Graph neural networks (GNNs) have recently gained growing attention in graph learning and have shown significant improvements in many important graph problems.…

Machine Learning · Computer Science 2024-01-31 Tao Wen , Elynn Chen , Yuzhou Chen

Weighted graphs are ubiquitous throughout biology, chemistry, and the social sciences, motivating the development of generative models for abstract weighted graph data using deep neural networks. However, most current deep generative models…

Machine Learning · Computer Science 2025-08-01 Richard Williams , Eric Nalisnick , Andrew Holbrook

Graph Neural Networks (GNNs) have shown remarkable success in graph classification tasks by capturing both structural and feature-based representations. However, real-world graphs often exhibit two critical forms of imbalance: class…

Machine Learning · Computer Science 2025-07-21 Shangyou Wang , Zezhong Ding , Xike Xie

Federated edge learning (FEEL) is envisioned as a promising paradigm to achieve privacy-preserving distributed learning. However, it consumes excessive learning time due to the existence of straggler devices. In this paper, a novel…

Information Theory · Computer Science 2022-04-04 Shanfeng Huang , Zezhong Zhang , Shuai Wang , Rui Wang , Kaibin Huang

Networks are ubiquitous structure that describes complex relationships between different entities in the real world. As a critical component of prediction task over nodes in networks, learning the feature representation of nodes has become…

Machine Learning · Computer Science 2018-09-10 Hansheng Xue , Jiajie Peng , Xuequn Shang

Representation learning provides new and powerful graph analytical approaches and tools for the highly valued data science challenge of mining knowledge graphs. Since previous graph analytical methods have mostly focused on homogeneous…

Information Retrieval · Computer Science 2019-05-29 Zheng Gao , Gang Fu , Chunping Ouyang , Satoshi Tsutsui , Xiaozhong Liu , Jeremy Yang , Christopher Gessner , Brian Foote , David Wild , Qi Yu , Ying Ding

Machine learning and data mining algorithms have been increasingly used recently to support decision-making systems in many areas of high societal importance such as healthcare, education, or security. While being very efficient in their…

Machine Learning · Computer Science 2020-11-02 Charlotte Laclau , Ievgen Redko , Manvi Choudhary , Christine Largeron

Textual-edge Graphs (TEGs), characterized by rich text annotations on edges, are increasingly significant in network science due to their ability to capture rich contextual information among entities. Existing works have proposed various…

Social and Information Networks · Computer Science 2024-11-19 Chen Ling , Zhuofeng Li , Yuntong Hu , Zheng Zhang , Zhongyuan Liu , Shuang Zheng , Jian Pei , Liang Zhao

We revisit the effectiveness of topological descriptors for molecular graph classification and design a simple, yet strong baseline. We demonstrate that a simple approach to feature engineering - employing histogram aggregation of edge…

Machine Learning · Computer Science 2024-07-24 Jakub Adamczyk , Wojciech Czech

Network embedding, aiming to project a network into a low-dimensional space, is increasingly becoming a focus of network research. Semi-supervised network embedding takes advantage of labeled data, and has shown promising performance.…

Machine Learning · Computer Science 2025-08-05 Zheng Wang , Xiaojun Ye , Chaokun Wang , Jian Cui , Philip S. Yu

We present the analysis of the topological graph descriptor Local Degree Profile (LDP), which forms a widely used structural baseline for graph classification. Our study focuses on model evaluation in the context of the recently developed…

Machine Learning · Computer Science 2023-05-02 Jakub Adamczyk , Wojciech Czech

The emerging edge computing paradigm promises to deliver superior user experience and enable a wide range of Internet of Things (IoT) applications. In this work, we propose a new market-based framework for efficiently allocating resources…

Computer Science and Game Theory · Computer Science 2018-05-09 Duong Tung Nguyen , Long Bao Le , Vijay Bhargava

Class imbalance is prevalent in real-world node classification tasks and poses great challenges for graph learning models. Most existing studies are rooted in a class-rebalancing (CR) perspective and address class imbalance with class-wise…

Machine Learning · Computer Science 2024-05-21 Zhining Liu , Ruizhong Qiu , Zhichen Zeng , Hyunsik Yoo , David Zhou , Zhe Xu , Yada Zhu , Kommy Weldemariam , Jingrui He , Hanghang Tong

Centrality is one of the most fundamental metrics in network science. Despite an abundance of methods for measuring centrality of individual vertices, there are by now only a few metrics to measure centrality of individual edges. We modify…

Physics and Society · Physics 2019-09-25 Timo Bröhl , Klaus Lehnertz

Let $G$ be a graph each edge $e$ of which is given a length $\ell(e)$. This naturally induces a distance $d_\ell(x,y)$ between any two vertices $x,y$, and we let $\ell-TOP$ denote the completion of the corresponding metric space. It turns…

Combinatorics · Mathematics 2009-12-14 Agelos Georgakopoulos

The entities in directed networks arising from real-world interactions are often naturally organized under some hierarchical structure. Given a directed, weighted, graph with edges and node labels, we introduce ranking problem where the…

Data Structures and Algorithms · Computer Science 2025-02-04 Chamalee Wickrama Arachchi , Nikolaj Tatti

Graph Neural Networks (GNNs) have proven to be powerful in many graph-based applications. However, they fail to generalize well under heterophilic setups, where neighbor nodes have different labels. To address this challenge, we employ a…

Machine Learning · Computer Science 2023-04-13 Yoonhyuk Choi , Jiho Choi , Taewook Ko , Chong-Kwon Kim

The goal in label-imbalanced and group-sensitive classification is to optimize relevant metrics such as balanced error and equal opportunity. Classical methods, such as weighted cross-entropy, fail when training deep nets to the terminal…

Machine Learning · Computer Science 2021-11-09 Ganesh Ramachandra Kini , Orestis Paraskevas , Samet Oymak , Christos Thrampoulidis