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In recent years, using a self-supervised learning framework to learn the general characteristics of graphs has been considered a promising paradigm for graph representation learning. The core of self-supervised learning strategies for graph…

Machine Learning · Computer Science 2022-12-09 Jiawei Zhu , Mei Hong , Ronghua Du , Haifeng Li

Consider a linear regression model where the design matrix X has n rows and p columns. We assume (a) p is much large than n, (b) the coefficient vector beta is sparse in the sense that only a small fraction of its coordinates is nonzero,…

Statistics Theory · Mathematics 2014-06-16 Jiashun Jin , Cun-Hui Zhang , Qi Zhang

Graph signal processing (GSP) deals with the representation, analysis, and processing of structured data, i.e. graph signals that are defined on the vertex set of a generic graph. A crucial prerequisite for applying various GSP and graph…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Lital Dabush , Tirza Routtenberg

In this work, we study the performance of sub-gradient method (SubGM) on a natural nonconvex and nonsmooth formulation of low-rank matrix recovery with $\ell_1$-loss, where the goal is to recover a low-rank matrix from a limited number of…

Machine Learning · Computer Science 2022-02-18 Jianhao Ma , Salar Fattahi

Sampling is a standard approach in big-graph analytics; the goal is to efficiently estimate the graph properties by consulting a sample of the whole population. A perfect sample is assumed to mirror every property of the whole population.…

Social and Information Networks · Computer Science 2014-03-18 Nesreen K. Ahmed , Nick Duffield , Jennifer Neville , Ramana Kompella

Many Machine Learning algorithms are formulated as regularized optimization problems, but their performance hinges on a regularization parameter that needs to be calibrated to each application at hand. In this paper, we propose a general…

Machine Learning · Statistics 2021-03-31 Mike Laszkiewicz , Asja Fischer , Johannes Lederer

We propose an iterative algorithm to interpolate graph signals from only a partial set of samples. Our method is derived from the well known Papoulis-Gerchberg algorithm by considering the optimal value of a constant involved in the…

Numerical Analysis · Mathematics 2020-02-19 Emanuele Brugnoli , Elena Toscano , Calogero Vetro

Since their introduction by Kipf and Welling in $2017$, a primary use of graph convolutional networks is transductive node classification, where missing labels are inferred within a single observed graph and its feature matrix. Despite the…

Machine Learning · Statistics 2025-09-09 Nils Detering , Luca Galimberti , Anastasis Kratsios , Giulia Livieri , A. Martina Neuman

In the area of graph signal processing, a graph is a set of nodes arbitrarily connected by weighted links; a graph signal is a set of scalar values associated with each node; and sampling is the problem of selecting an optimal subset of…

Signal Processing · Electrical Eng. & Systems 2019-05-27 Alejandro Parada-Mayorga , Daniel L. Lau , Jhony H. Giraldo , Gonzalo R. Arce

Graph Neural Networks (GNNs) offer a compact and computationally efficient way to learn embeddings and classifications on graph data. GNN models are frequently large, making distributed minibatch training necessary. The primary contribution…

Machine Learning · Computer Science 2024-04-22 Alok Tripathy , Katherine Yelick , Aydin Buluc

Inferring a binary connectivity graph from resting-state fMRI data for a single subject requires making several methodological choices and assumptions that can significantly affect the results. In this study, we investigate the robustness…

Methodology · Statistics 2025-03-20 Alice Chevaux , Ali Fahkar , Kévin Polisano , Irène Gannaz , Sophie Achard

Graph neural networks (GNNs) have attracted widespread attention for their impressive capability of graph representation learning. However, the increasing prevalence of large-scale graphs presents a significant challenge for GNN training…

Machine Learning · Computer Science 2025-05-13 Xinyi Gao , Hongzhi Yin , Tong Chen , Guanhua Ye , Wentao Zhang , Bin Cui

A fundamental problem in signal processing is to denoise a signal. While there are many well-performing methods for denoising signals defined on regular supports, such as images defined on two-dimensional grids of pixels, many important…

Signal Processing · Electrical Eng. & Systems 2023-02-20 Samuel Rey , Santiago Segarra , Reinhard Heckel , Antonio G. Marques

We propose a supervised learning approach for predicting an underlying graph from a set of graph signals. Our approach is based on linear regression. In the linear regression model, we predict edge-weights of a graph as the output, given a…

Information Theory · Computer Science 2018-11-06 Arun Venkitaraman , Hermina Petric Maretic , Saikat Chatterjee , Pascal Frossard

We propose two novel approaches to the recovery of an (approximately) sparse signal from noisy linear measurements in the case that the signal is a priori known to be non-negative and obey given linear equality constraints, such as simplex…

Information Theory · Computer Science 2015-06-17 Jeremy Vila , Philip Schniter

This paper proposes a novel graph-based framework for robust and interpretable multiclass fault diagnosis in rotating machinery. The method integrates entropy-optimized signal segmentation, time-frequency feature extraction, and…

Artificial Intelligence · Computer Science 2025-08-08 Moirangthem Tiken Singh

In this paper, we propose an end-to-end graph learning framework, namely Deep Iterative and Adaptive Learning for Graph Neural Networks (DIAL-GNN), for jointly learning the graph structure and graph embeddings simultaneously. We first cast…

Machine Learning · Computer Science 2019-12-18 Yu Chen , Lingfei Wu , Mohammed J. Zaki

Graph Signal Processing (GSP) is a promising framework to analyze multi-dimensional neuroimaging datasets, while taking into account both the spatial and functional dependencies between brain signals. In the present work, we apply…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Mathilde Ménoret , Nicolas Farrugia , Bastien Pasdeloup , Vincent Gripon

This paper builds theoretical foundations for the recovery of a newly proposed class of smooth graph signals, approximately bandlimited graph signals, under three sampling strategies: uniform sampling, experimentally designed sampling and…

Information Theory · Computer Science 2017-02-21 Siheng Chen , Rohan Varma , Aarti Singh , Jelena Kovačević

Multimodal recommendation systems have attracted increasing attention for their improved performance by leveraging items' multimodal information. Prior methods often build modality-specific item-item semantic graphs from raw modality…

Information Retrieval · Computer Science 2025-08-11 Xiaoxiong Zhang , Xin Zhou , Zhiwei Zeng , Dusit Niyato , Zhiqi Shen