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Modern data introduces new challenges to classic signal processing approaches, leading to a growing interest in the field of graph signal processing. A powerful and well established model for real world signals in various domains is sparse…

Machine Learning · Computer Science 2019-03-27 Yael Yankelevsky , Michael Elad

Laplacian regularized stratified models (LRSM) are models that utilize the explicit or implicit network structure of the sub-problems as defined by the categorical features called strata (e.g., age, region, time, forecast horizon, etc.),…

Machine Learning · Statistics 2023-05-05 Ziheng Cheng , Junzi Zhang , Akshay Agrawal , Stephen Boyd

We propose an adaptive graph coarsening method to jointly learn graph neural network (GNN) parameters and merge nodes via K-means clustering during training. As real-world graphs grow larger, processing them directly becomes increasingly…

Machine Learning · Computer Science 2025-10-01 Rostyslav Olshevskyi , Madeline Navarro , Santiago Segarra

A variety of graph neural networks (GNNs) frameworks for representation learning on graphs have been recently developed. These frameworks rely on aggregation and iteration scheme to learn the representation of nodes. However, information…

Machine Learning · Computer Science 2020-03-25 Xinhan Di , Pengqian Yu , Rui Bu , Mingchao Sun

Graph learning from data represents a canonical problem that has received substantial attention in the literature. However, insufficient work has been done in incorporating prior structural knowledge onto the learning of underlying…

Machine Learning · Statistics 2019-04-23 Sandeep Kumar , Jiaxi Ying , José Vinícius de M. Cardoso , Daniel Palomar

This paper studies learning on text-attributed graphs (TAGs), where each node is associated with a text description. An ideal solution for such a problem would be integrating both the text and graph structure information with large language…

Machine Learning · Computer Science 2023-03-02 Jianan Zhao , Meng Qu , Chaozhuo Li , Hao Yan , Qian Liu , Rui Li , Xing Xie , Jian Tang

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

Graph Neural Networks (GNNs) require a large number of labeled graph samples to obtain good performance on the graph classification task. The performance of GNNs degrades significantly as the number of labeled graph samples decreases. To…

Machine Learning · Computer Science 2023-09-20 Abdullah Alchihabi , Yuhong Guo

Graph Neural Networks (GNNs) have emerged as the de facto standard for modeling graph data, with attention mechanisms and transformers significantly enhancing their performance on graph-based tasks. Despite these advancements, the…

Machine Learning · Computer Science 2025-04-07 Nikhil Shivakumar Nayak

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

Pairwise network models such as the Gaussian Graphical Model (GGM) are a powerful and intuitive way to analyze dependencies in multivariate data. A key assumption of the GGM is that each pairwise interaction is independent of the values of…

Methodology · Statistics 2020-02-14 Jonas Haslbeck , Denny Borsboom , Lourens Waldorp

Graph condensation reduces the size of large graphs while preserving performance, addressing the scalability challenges of Graph Neural Networks caused by computational inefficiencies on large datasets. Existing methods often rely on…

Machine Learning · Computer Science 2025-10-10 Lin Wang , Qing Li

Gaussian Graphical Models (GGMs) have wide-ranging applications in machine learning and the natural and social sciences. In most of the settings in which they are applied, the number of observed samples is much smaller than the dimension…

Machine Learning · Computer Science 2020-03-10 Jonathan Kelner , Frederic Koehler , Raghu Meka , Ankur Moitra

Recently, graph convolutional networks (GCNs) have shown great potential for the task of graph matching. It can integrate graph node feature embedding, node-wise affinity learning and matching optimization together in a unified end-to-end…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Bo Jiang , Pengfei Sun , Jin Tang , Bin Luo

Gaussian Graphical Models (GGM) are often used to describe the conditional correlations between the components of a random vector. In this article, we compare two families of GGM inference methods: nodewise edge selection and penalised…

We tackle the network topology inference problem by utilizing Laplacian constrained Gaussian graphical models, which recast the task as estimating a precision matrix in the form of a graph Laplacian. Recent research \cite{ying2020nonconvex}…

Machine Learning · Computer Science 2023-09-06 Jiaxi Ying , Xi Han , Rui Zhou , Xiwen Wang , Hing Cheung So

In computational physics, machine learning has now emerged as a powerful complementary tool to explore efficiently candidate designs in engineering studies. Outputs in such supervised problems are signals defined on meshes, and a natural…

Machine Learning · Statistics 2025-03-11 Raphaël Carpintero Perez , Sébastien da Veiga , Josselin Garnier , Brian Staber

Graph condensation (GC) is an emerging technique designed to learn a significantly smaller graph that retains the essential information of the original graph. This condensed graph has shown promise in accelerating graph neural networks…

Machine Learning · Computer Science 2025-11-11 Shengbo Gong , Juntong Ni , Noveen Sachdeva , Carl Yang , Wei Jin

Large Language Models (LLMs) have demonstrated strong capabilities in various natural language processing tasks; however, their application to graph-related problems remains limited, primarily due to scalability constraints and the absence…

Machine Learning · Computer Science 2025-05-08 Hyun Lee , Chris Yi , Maminur Islam , B. D. S. Aritra

Graph representation learning, involving both node features and graph structures, is crucial for real-world applications but often encounters pervasive noise. State-of-the-art methods typically address noise by focusing separately on node…

Machine Learning · Computer Science 2024-10-17 Guangxin Su , Yifan Zhu , Wenjie Zhang , Hanchen Wang , Ying Zhang