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Understanding the behavior of stochastic gradient methods is a central problem in modern machine learning. Recent work has highlighted diagonal linear networks as a simplified yet expressive setting for analyzing the optimization and…

Optimization and Control · Mathematics 2026-05-19 Begoña García Malaxechebarría , Courtney Paquette , Maryam Fazel , Dmitriy Drusvyatskiy

Spectral graph convolutional neural networks (GCNNs) have been producing encouraging results in graph classification tasks. However, most spectral GCNNs utilize fixed graphs when aggregating node features, while omitting edge feature…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Yang Yi , Xuequan Lu , Shang Gao , Antonio Robles-Kelly , Yuejie Zhang

Traditional Graph Self-Supervised Learning (GSSL) struggles to capture complex structural properties well. This limitation stems from two main factors: (1) the inadequacy of conventional Graph Neural Networks (GNNs) in representing…

Machine Learning · Computer Science 2025-02-25 Asiri Wijesinghe , Hao Zhu , Piotr Koniusz

We present the design and optimization of a linear solver on General Purpose GPUs for the efficient and high-throughput evaluation of the marginalized graph kernel between pairs of labeled graphs. The solver implements a preconditioned…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-20 Yu-Hang Tang , Oguz Selvitopi , Doru Popovici , Aydın Buluç

Accurate traffic forecasting, the foundation of intelligent transportation systems (ITS), has never been more significant than nowadays due to the prosperity of smart cities and urban computing. Recently, Graph Neural Network truly…

Machine Learning · Computer Science 2022-05-18 Jiabin Tang , Tang Qian , Shijing Liu , Shengdong Du , Jie Hu , Tianrui Li

Can neural networks learn to compare graphs without feature engineering? In this paper, we show that it is possible to learn representations for graph similarity with neither domain knowledge nor supervision (i.e.\ feature engineering or…

Machine Learning · Computer Science 2019-04-23 Rami Al-Rfou , Dustin Zelle , Bryan Perozzi

Recent work has shown that a simple, fast method called Simple Graph Convolution (SGC) (Wu et al., 2019), which eschews deep learning, is competitive with deep methods like graph convolutional networks (GCNs) (Kipf & Welling, 2017) in…

Machine Learning · Computer Science 2022-06-07 Sudhanshu Chanpuriya , Cameron Musco

In graph signal processing, data samples are associated to vertices on a graph, while edge weights represent similarities between those samples. We propose a convex optimization problem to learn sparse well connected graphs from data. We…

Signal Processing · Electrical Eng. & Systems 2020-04-21 Eduardo Pavez , Antonio Ortega

Continual learning (CL) has shown promising results and comparable performance to learning at once in a fully supervised manner. However, CL strategies typically require a large number of labeled samples, making their real-life deployment…

Machine Learning · Computer Science 2025-01-15 Yan Fan , Yu Wang , Pengfei Zhu , Qinghua Hu

Graph neural networks for node classification are typically trained by gradient descent over hundreds or thousands of epochs. Recent work has shown that, when properly tuned, classic GCN/SAGE/GAT architectures can match graph transformers…

Machine Learning · Computer Science 2026-05-26 Aditya Gaur , Charu Sharma

We present a novel model-based deep learning solution for the inverse problem of localizing sources of network diffusion. Starting from first graph signal processing (GSP) principles, we show that the problem reduces to joint (blind)…

Signal Processing · Electrical Eng. & Systems 2025-01-03 Chang Ye , Gonzalo Mateos

We consider the problem of learning a graph from a finite set of noisy graph signal observations, the goal of which is to find a smooth representation of the graph signal. Such a problem is motivated by the desire to infer relational…

Machine Learning · Computer Science 2023-02-08 Xiaolu Wang , Yuen-Man Pun , Anthony Man-Cho So

While the harmonic function solution performs well in many semi-supervised learning (SSL) tasks, it is known to scale poorly with the number of samples. Recent successful and scalable methods, such as the eigenfunction method focus on…

Machine Learning · Statistics 2016-01-22 Daniele Calandriello , Alessandro Lazaric , Michal Valko , Ioannis Koutis

Sparse inverse covariance estimation (i.e., edge de-tection) is an important research problem in recent years, wherethe goal is to discover the direct connections between a set ofnodes in a networked system based upon the observed…

Machine Learning · Computer Science 2021-01-15 Hang Yin , Xinyue Liu , Xiangnan Kong

Spectral graph sparsification aims to find ultra-sparse subgraphs which can preserve spectral properties of original graphs. In this paper, a new spectral criticality metric based on trace reduction is first introduced for identifying…

Data Structures and Algorithms · Computer Science 2022-06-14 Zhiqiang Liu , Wenjian Yu

We aim to learn a sparse and connected graph from sparse data, where the number of observations K can be substantially smaller than the signal dimension N for signals x in R^N, and the underlying distribution is unknown. In this severely…

Signal Processing · Electrical Eng. & Systems 2026-04-30 Bahar Oveisgharan , Gene Cheung , Andrew Eckford

A spectral sparsifier of a graph $G$ is a sparser graph $H$ that approximately preserves the quadratic form of $G$, i.e. for all vectors $x$, $x^T L_G x \approx x^T L_H x$, where $L_G$ and $L_H$ denote the respective graph Laplacians.…

Data Structures and Algorithms · Computer Science 2016-11-22 Rasmus Kyng , Jakub Pachocki , Richard Peng , Sushant Sachdeva

Graph Neural Networks (GNNs) have shown their great ability in modeling graph structured data. However, real-world graphs usually contain structure noises and have limited labeled nodes. The performance of GNNs would drop significantly when…

Machine Learning · Computer Science 2022-07-26 Enyan Dai , Wei Jin , Hui Liu , Suhang Wang

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

We propose Graph Contrastive Learning (GraphCL), a general framework for learning node representations in a self supervised manner. GraphCL learns node embeddings by maximizing the similarity between the representations of two randomly…

Machine Learning · Computer Science 2020-07-17 Hakim Hafidi , Mounir Ghogho , Philippe Ciblat , Ananthram Swami