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Graph Neural Networks (GNNs) are the subject of intense focus by the machine learning community for problems involving relational reasoning. GNNs can be broadly divided into spatial and spectral approaches. Spatial approaches use a form of…

Machine Learning · Statistics 2021-01-05 Kimberly Stachenfeld , Jonathan Godwin , Peter Battaglia

This paper addresses the problem of learning an undirected graph from data gathered at each nodes. Within the graph signal processing framework, the topology of such graph can be linked to the support of the conditional correlation matrix…

Machine Learning · Computer Science 2025-06-13 Thu Ha Phi , Alexandre Hippert-Ferrer , Florent Bouchard , Arnaud Breloy

How to obtain a graph from data samples is an important problem in graph signal processing. One way to formulate this graph learning problem is based on Gaussian maximum likelihood estimation, possibly under particular topology constraints.…

Signal Processing · Electrical Eng. & Systems 2017-11-02 Keng-Shih Lu , Antonio Ortega

Prostate cancer grading from whole-slide images (WSIs) remains a challenging task due to the large-scale nature of WSIs, the presence of heterogeneous tissue structures, and difficulty of selecting diagnostically relevant regions. Existing…

Computer Vision and Pattern Recognition · Computer Science 2025-12-12 Masum Shah Junayed , John Derek Van Vessem , Qian Wan , Gahie Nam , Sheida Nabavi

Graphs are widely used to describe real-world objects and their interactions. Graph Neural Networks (GNNs) as a de facto model for analyzing graphstructured data, are highly sensitive to the quality of the given graph structures. Therefore,…

Machine Learning · Computer Science 2022-02-16 Yanqiao Zhu , Weizhi Xu , Jinghao Zhang , Yuanqi Du , Jieyu Zhang , Qiang Liu , Carl Yang , Shu Wu

As a fundamental problem in pattern recognition, graph matching has applications in a variety of fields, from computer vision to computational biology. In graph matching, patterns are modeled as graphs and pattern recognition amounts to…

Computer Vision and Pattern Recognition · Computer Science 2008-06-19 Tiberio S. Caetano , Julian J. McAuley , Li Cheng , Quoc V. Le , Alex J. Smola

Accurate power load forecasting is essential for the efficient operation and planning of electrical grids, particularly given the increased variability and complexity introduced by renewable energy sources. This paper introduces GAT-LSTM, a…

Machine Learning · Computer Science 2025-02-13 Ugochukwu Orji , Çiçek Güven , Dan Stowell

In this work, a novel approach for the construction and training of time series models is presented that deals with the problem of learning on large time series with non-equispaced observations, which at the same time may possess features…

Machine Learning · Computer Science 2020-11-25 Charilaos Mylonas , Eleni Chatzi

Semi-supervised learning on graph structured data has received significant attention with the recent introduction of Graph Convolution Networks (GCN). While traditional methods have focused on optimizing a loss augmented with Laplacian…

Machine Learning · Computer Science 2019-01-04 Prateek Yadav , Madhav Nimishakavi , Naganand Yadati , Shikhar Vashishth , Arun Rajkumar , Partha Talukdar

A new dynamic latent space eigenmodel (LSM) is proposed for weighted temporal networks. The model accommodates integer-valued weights, excess of zeros, time-varying node positions (features), and time-varying network sparsity. The latent…

Methodology · Statistics 2026-04-15 Roberto Casarin , Matteo Iacopini , Antonio Peruzzi

Spatial-temporal estimation of signals on graph edges is challenging because most conventional Graph Signal Processing techniques are defined on the graph nodes. Leveraging the Line Graph transform, the Line Graph Least Mean Square (LGLMS)…

Signal Processing · Electrical Eng. & Systems 2026-04-20 Yi Yan , Ercan Engin Kuruoglu

State-space models (SSMs) are a highly expressive model class for learning patterns in time series data and for system identification. Deterministic versions of SSMs (e.g. LSTMs) proved extremely successful in modeling complex time series…

We consider the general problem of utilizing both labeled and unlabeled data to improve data representation performance. A new semi-supervised learning framework is proposed by combing manifold regularization and data representation methods…

Machine Learning · Computer Science 2015-02-16 Weiya Ren

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

Machine Learning · Statistics 2022-12-21 Madeline Navarro , Santiago Segarra

Hyperspectral target detection is good at finding dim and small objects based on spectral characteristics. However, existing representation-based methods are hindered by the problem of the unknown background dictionary and insufficient…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Dunbin Shen , Xiaorui Ma , Wenfeng Kong , Jiacheng Tian , Hongyu Wang

We study a Bayesian approach to estimating a smooth function in the context of regression or classification problems on large graphs. We derive theoretical results that show how asymptotically optimal Bayesian regularization can be achieved…

Statistics Theory · Mathematics 2017-03-07 Alisa Kirichenko , Harry van Zanten

This paper addresses the challenging problem of retrieval and matching of graph structured objects, and makes two key contributions. First, we demonstrate how Graph Neural Networks (GNN), which have emerged as an effective model for various…

Machine Learning · Computer Science 2019-05-14 Yujia Li , Chenjie Gu , Thomas Dullien , Oriol Vinyals , Pushmeet Kohli

Restricted Boltzmann Machines (RBMs) and models derived from them have been successfully used as basic building blocks in deep artificial neural networks for automatic features extraction, unsupervised weights initialization, but also as…

Neural and Evolutionary Computing · Computer Science 2016-07-20 Decebal Constantin Mocanu , Elena Mocanu , Phuong H. Nguyen , Madeleine Gibescu , Antonio Liotta

Graph Neural Networks (GNNs) have emerged as powerful tools for learning over graph-structured data, yet recent studies have shown that their performance gains are beginning to plateau. In many cases, well-established models such as GCN and…

Machine Learning · Computer Science 2026-02-13 Mohit Meena , Yash Punjabi , Abhishek A , Vishal Sharma , Mahesh Chandran

Current graph neural networks (GNNs) lack generalizability with respect to scales (graph sizes, graph diameters, edge weights, etc..) when solving many graph analysis problems. Taking the perspective of synthesizing graph theory programs,…

Machine Learning · Computer Science 2020-10-27 Hao Tang , Zhiao Huang , Jiayuan Gu , Bao-Liang Lu , Hao Su