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Hypergraphs, which belong to the family of higher-order networks, are a natural and powerful choice for modeling group interactions in the real world. For example, when modeling collaboration networks, which may involve not just two but…

Social and Information Networks · Computer Science 2025-02-19 Geon Lee , Fanchen Bu , Tina Eliassi-Rad , Kijung Shin

Listing and counting triangles in graphs is a key algorithmic kernel for network analyses, including community detection, clustering coefficients, k-trusses, and triangle centrality. In this paper, we propose the novel concept of a…

We use a power grid model with $M$ generators and $N$ consumption units to optimize the grid and its control. Each consumer demand is drawn from a predefined finite-size-support distribution, thus simulating the instantaneous load…

Statistical Mechanics · Physics 2009-10-21 Lenka Zdeborová , Aurélien Decelle , Michael Chertkov

Graph-language models (GLMs) have demonstrated great potential in graph-based semi-supervised learning. A typical GLM consists of two key stages: graph generation and text embedding, which are usually implemented by inferring a latent graph…

Computation and Language · Computer Science 2025-02-24 Jianglin Lu , Yixuan Liu , Yitian Zhang , Yun Fu

Graphs are used in many disciplines to model the relationships that exist between objects in a complex discrete system. Researchers may wish to compare a network of interest to a "typical" graph from a family (or ensemble) of graphs which…

Combinatorics · Mathematics 2025-08-08 Catherine Greenhill

One significant challenge of exploiting Graph neural networks (GNNs) in real-life scenarios is that they are always treated as black boxes, therefore leading to the requirement of interpretability. To address this, model-level…

Machine Learning · Computer Science 2025-09-22 Xiao Yue , Guangzhi Qu , Lige Gan

Cell formation is a critical step in the design of cellular manufacturing systems. Recently, it was tackled using a cut-based-graph-partitioning model. This model meets real-life production systems requirements as it uses the actual amount…

Discrete Mathematics · Computer Science 2016-12-19 Boulif Menouar

Which transformer scaling regimes are able to perfectly solve different classes of algorithmic problems? While tremendous empirical advances have been attained by transformer-based neural networks, a theoretical understanding of their…

Graph is a ubiquitous structure in many domains. The rapidly increasing data volume calls for efficient and scalable graph data processing. In recent years, designing distributed graph processing systems has been an increasingly important…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-03 Xubo Wang , Lu Qin , Lijun Chang , Ying Zhang , Dong Wen , Xuemin Lin

Graph neural networks (GNNs) have been demonstrated as a powerful tool for analyzing non-Euclidean graph data. However, the lack of efficient distributed graph learning systems severely hinders applications of GNNs, especially when graphs…

Machine Learning · Computer Science 2023-01-18 Yongchao Liu , Houyi Li , Guowei Zhang , Xintan Zeng , Yongyong Li , Bin Huang , Peng Zhang , Zhao Li , Xiaowei Zhu , Changhua He , Wenguang Chen

Graph condensation, which reduces the size of a large-scale graph by synthesizing a small-scale condensed graph as its substitution, has immediate benefits for various graph learning tasks. However, existing graph condensation methods rely…

Machine Learning · Computer Science 2023-10-24 Xin Zheng , Miao Zhang , Chunyang Chen , Quoc Viet Hung Nguyen , Xingquan Zhu , Shirui Pan

While kernel methods and Graph Neural Networks offer complementary strengths, integrating the two has posed challenges in efficiency and scalability. The Graph Neural Tangent Kernel provides a theoretical bridge by interpreting GNNs through…

Machine Learning · Computer Science 2025-07-17 Lin Wang , Shijie Wang , Sirui Huang , Qing Li

Efficient processing of large-scale graphs in distributed environments has been an increasingly popular topic of research in recent years. Inter-connected data that can be modeled as graphs arise in application domains such as machine…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-25 Vasiliki Kalavri , Vladimir Vlassov , Seif Haridi

In recent years hypergraphs have emerged as a powerful tool to study systems with multi-body interactions which cannot be trivially reduced to pairs. While highly structured methods to generate synthetic data have proved fundamental for the…

Social and Information Networks · Computer Science 2024-10-10 Nicolò Ruggeri , Federico Battiston , Caterina De Bacco

Assessing generative models is not an easy task. Generative models should synthesize graphs which are not replicates of real networks but show topological features similar to real graphs. We introduce an approach for assessing graph…

Machine Learning · Computer Science 2018-09-06 Vahid Mostofi , Sadegh Aliakbary

Nowadays, various stakeholders involved in the analysis of electric power distribution grids face difficulties in the data acquisition related to the grid topology and parameters of grid assets. To mitigate the problem and possibly…

Systems and Control · Electrical Eng. & Systems 2024-08-27 Chandra Sekhar Charan Dande , Luca Mattorolo , Joel da Silva Andre , Lydia Lavecchia , Nikolaos Efkarpidis , Damiano Toffanin

Graph neural networks have been extensively studied for learning with inter-connected data. Despite this, recent evidence has revealed GNNs' deficiencies related to over-squashing, heterophily, handling long-range dependencies, edge…

Machine Learning · Computer Science 2023-06-16 Qitian Wu , Wentao Zhao , Zenan Li , David Wipf , Junchi Yan

Recently, there has been a surge of interest in employing neural networks for graph generation, a fundamental statistical learning problem with critical applications like molecule design and community analysis. However, most approaches…

Machine Learning · Computer Science 2024-07-31 Yunhui Jang , Seul Lee , Sungsoo Ahn

Generating novel molecules with optimal properties is a crucial step in many industries such as drug discovery. Recently, deep generative models have shown a promising way of performing de-novo molecular design. Although graph generative…

Machine Learning · Computer Science 2018-11-27 Rim Assouel , Mohamed Ahmed , Marwin H Segler , Amir Saffari , Yoshua Bengio

Discrete graph generation has emerged as a powerful paradigm for modeling graph data, often relying on highly expressive neural backbones such as transformers or higher-order architectures. We revisit this design choice by introducing…

Machine Learning · Computer Science 2026-03-11 Jay Revolinsky , Harry Shomer , Jiliang Tang