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Graph learning aims to infer a network structure directly from observed data, enabling the analysis of complex dependencies in irregular domains. Traditional methods focus on scalar signals at each node, ignoring dependencies along…

Signal Processing · Electrical Eng. & Systems 2026-05-08 Andrei Buciulea , Bishwadeep Das , Elvin Isufi , Antonio G. Marques

Graph learning, or network inference, is a prominent problem in graph signal processing (GSP). GSP generalizes the Fourier transform to non-Euclidean domains, and graph learning is pivotal to applying GSP when these domains are unknown.…

Machine Learning · Computer Science 2025-05-16 Changhao Shi , Gal Mishne

Graph Learning (GL) is at the core of inference and analysis of connections in data mining and machine learning (ML). By observing a dataset of graph signals, and considering specific assumptions, Graph Signal Processing (GSP) tools can…

Machine Learning · Computer Science 2022-11-08 Aref Einizade , Sepideh Hajipour Sardouie

Real-world data is often times associated with irregular structures that can analytically be represented as graphs. Having access to this graph, which is sometimes trivially evident from domain knowledge, provides a better representation of…

Signal Processing · Electrical Eng. & Systems 2020-06-16 Muhammad Asad Lodhi , Waheed U. Bajwa

We consider the problem of classification of an object given multiple observations that possibly include different transformations. The possible transformations of the object generally span a low-dimensional manifold in the original signal…

Computer Vision and Pattern Recognition · Computer Science 2009-07-27 Effrosyni Kokiopoulou , Pascal Frossard

When facing graph signal processing tasks, the workhorse assumption is that the graph describing the support of the signals is known. However, in many relevant applications the available graph suffers from observation errors and…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Samuel Rey , Victor M. Tenorio , Antonio G. Marques

In this paper, we focus on learning the underlying product graph structure from multidomain training data. We assume that the product graph is formed from a Cartesian graph product of two smaller factor graphs. We then pose the product…

Signal Processing · Electrical Eng. & Systems 2019-11-20 Sai Kiran Kadambari , Sundeep Prabhakar Chepuri

Graph Neural Networks (GNNs) exploit signals from node features and the input graph topology to improve node classification task performance. However, these models tend to perform poorly on heterophilic graphs, where connected nodes have…

Machine Learning · Computer Science 2021-12-08 Vijay Lingam , Chanakya Ekbote , Manan Sharma , Rahul Ragesh , Arun Iyer , Sundararajan Sellamanickam

Multi-attributed graph matching is a problem of finding correspondences between two sets of data while considering their complex properties described in multiple attributes. However, the information of multiple attributes is likely to be…

Computer Vision and Pattern Recognition · Computer Science 2017-04-25 Han-Mu Park , Kuk-Jin Yoon

Polynomial graph filters have been widely used as guiding principles in the design of Graph Neural Networks (GNNs). Recently, the adaptive learning of the polynomial graph filters has demonstrated promising performance for modeling graph…

Machine Learning · Computer Science 2023-07-18 Wendi Yu , Zhichao Hou , Xiaorui Liu

Personalized recommendation is ubiquitous, playing an important role in many online services. Substantial research has been dedicated to learning vector representations of users and items with the goal of predicting a user's preference for…

Information Retrieval · Computer Science 2020-01-03 Jianing Sun , Yingxue Zhang , Chen Ma , Mark Coates , Huifeng Guo , Ruiming Tang , Xiuqiang He

The interactions of users and items in recommender system could be naturally modeled as a user-item bipartite graph. In recent years, we have witnessed an emerging research effort in exploring user-item graph for collaborative filtering…

Machine Learning · Computer Science 2019-11-26 Xiao Wang , Ruijia Wang , Chuan Shi , Guojie Song , Qingyong Li

We study Graph Convolutional Networks (GCN) from the graph signal processing viewpoint by addressing a difference between learning graph filters with fully connected weights versus trainable polynomial coefficients. We find that by stacking…

Machine Learning · Computer Science 2020-11-24 Hoang NT , Takanori Maehara , Tsuyoshi Murata

Learning graphs from sets of nodal observations represents a prominent problem formally known as graph topology inference. However, current approaches are limited by typically focusing on inferring single networks, and they assume that…

Social and Information Networks · Computer Science 2021-11-17 Samuel Rey , Andrei Buciulea , Madeline Navarro , Santiago Segarra , Antonio G. Marques

Given partial measurements of a time-varying graph signal, we propose an algorithm to simultaneously estimate both the underlying graph topology and the missing measurements. The proposed algorithm operates by training an interpretable…

Signal Processing · Electrical Eng. & Systems 2024-07-17 Subbareddy Batreddy , Pushkal Mishra , Yaswanth Kakarla , Aditya Siripuram

In recommender systems, user-item interactions can be modeled as a bipartite graph, where user and item nodes are connected by undirected edges. This graph-based view has motivated the rapid adoption of graph neural networks (GNNs), which…

Graph signal processing (GSP) is a key tool for satisfying the growing demand for information processing over networks. However, the success of GSP in downstream learning and inference tasks is heavily dependent on the prior identification…

Signal Processing · Electrical Eng. & Systems 2021-03-29 Seyed Saman Saboksayr , Gonzalo Mateos , Mujdat Cetin

Graph convolution networks have recently garnered a lot of attention for representation learning on non-Euclidean feature spaces. Recent research has focused on stacking multiple layers like in convolutional neural networks for the…

Machine Learning · Computer Science 2021-05-05 Rangan Das , Bikram Boote , Saumik Bhattacharya , Ujjwal Maulik

In this paper, we introduce a convolutional architecture to perform learning when information is supported on multigraphs. Exploiting algebraic signal processing (ASP), we propose a convolutional signal processing model on multigraphs…

Signal Processing · Electrical Eng. & Systems 2022-10-31 Landon Butler , Alejandro Parada-Mayorga , Alejandro Ribeiro

We generalize a graph-based multiclass semi-supervised classification technique based on diffuse interface methods to multilayer graphs. Besides the treatment of various applications with an inherent multilayer structure, we present a very…

Machine Learning · Computer Science 2022-03-24 Kai Bergermann , Martin Stoll , Toni Volkmer
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