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Semi-supervised learning (SSL) over graph-structured data emerges in many network science applications. To efficiently manage learning over graphs, variants of graph neural networks (GNNs) have been developed recently. By succinctly…

Machine Learning · Computer Science 2021-10-22 Alireza Sadeghi , Meng Ma , Bingcong Li , Georgios B. Giannakis

Geometric data analysis relies on graphs that are either given as input or inferred from data. These graphs are often treated as "correct" when solving downstream tasks such as graph signal denoising. But real-world graphs are known to…

Signal Processing · Electrical Eng. & Systems 2023-10-17 Valentin Debarnot , Vinith Kishore , Cheng Shi , Ivan Dokmanić

Proper regularization is critical for speeding up training, improving generalization performance, and learning compact models that are cost efficient. We propose and analyze regularized gradient descent algorithms for learning shallow…

Machine Learning · Computer Science 2018-06-08 Samet Oymak

Manifold regularization is a commonly used technique in semi-supervised learning. It enforces the classification rule to be smooth with respect to the data-manifold. Here, we derive sample complexity bounds based on pseudo-dimension for…

Machine Learning · Computer Science 2020-07-31 Alexander Mey , Tom Viering , Marco Loog

A common issue in graph learning under the semi-supervised setting is referred to as gradient scarcity. That is, learning graphs by minimizing a loss on a subset of nodes causes edges between unlabelled nodes that are far from labelled ones…

Machine Learning · Computer Science 2023-03-27 Hashem Ghanem , Samuel Vaiter , Nicolas Keriven

Oversmoothing has been assumed to be the major cause of performance drop in deep graph convolutional networks (GCNs). In this paper, we propose a new view that deep GCNs can actually learn to anti-oversmooth during training. This work…

Machine Learning · Computer Science 2020-06-19 Chaoqi Yang , Ruijie Wang , Shuochao Yao , Shengzhong Liu , Tarek Abdelzaher

Graph-based methods play an important role in unsupervised and semi-supervised learning tasks by taking into account the underlying geometry of the data set. In this paper, we consider a statistical setting for semi-supervised learning and…

Machine Learning · Computer Science 2015-02-17 Aamir Anis , Aly El Gamal , A. Salman Avestimehr , Antonio Ortega

The common graph Laplacian regularizer is well-established in semi-supervised learning and spectral dimensionality reduction. However, as a first-order regularizer, it can lead to degenerate functions in high-dimensional manifolds. The…

Computer Vision and Pattern Recognition · Computer Science 2016-02-12 Kwang In Kim , James Tompkin , Hanspeter Pfister , Christian Theobalt

Minimization of regularized losses is a principled approach to weak supervision well-established in deep learning, in general. However, it is largely overlooked in semantic segmentation currently dominated by methods mimicking full…

Computer Vision and Pattern Recognition · Computer Science 2018-04-12 Meng Tang , Federico Perazzi , Abdelaziz Djelouah , Ismail Ben Ayed , Christopher Schroers , Yuri Boykov

Graph-based semi-supervised learning is one of the most popular methods in machine learning. Some of its theoretical properties such as bounds for the generalization error and the convergence of the graph Laplacian regularizer have been…

Machine Learning · Statistics 2019-04-12 Chengan Du , Yunpeng Zhao , Feng Wang

Inspired by the extensive success of deep learning, graph neural networks (GNNs) have been proposed to learn expressive node representations and demonstrated promising performance in various graph learning tasks. However, existing endeavors…

Machine Learning · Computer Science 2022-04-05 Kaize Ding , Jianling Wang , James Caverlee , Huan Liu

Convolutional neural network training can suffer from diverse issues like exploding or vanishing gradients, scaling-based weight space symmetry and covariant-shift. In order to address these issues, researchers develop weight regularization…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Theodoros Georgiou , Sebastian Schmitt , Thomas Bäck , Wei Chen , Michael Lew

This paper proposes a novel algorithm for semisupervised learning. This algorithm learns graph cuts that maximize the margin with respect to the labels induced by the harmonic function solution. We motivate the approach, compare it to…

Machine Learning · Computer Science 2026-04-30 Branislav Kveton , Michal Valko , Ali Rahimi , Ling Huang

Graph condensation aims to reduce the size of a large-scale graph dataset by synthesizing a compact counterpart without sacrificing the performance of Graph Neural Networks (GNNs) trained on it, which has shed light on reducing the…

Machine Learning · Computer Science 2024-06-19 Yuchen Zhang , Tianle Zhang , Kai Wang , Ziyao Guo , Yuxuan Liang , Xavier Bresson , Wei Jin , Yang You

There has been a surge of recent interest in learning representations for graph-structured data. Graph representation learning methods have generally fallen into three main categories, based on the availability of labeled data. The first,…

Machine Learning · Computer Science 2022-04-13 Ines Chami , Sami Abu-El-Haija , Bryan Perozzi , Christopher Ré , Kevin Murphy

Unsupervised/self-supervised pre-training methods for graph representation learning have recently attracted increasing research interests, and they are shown to be able to generalize to various downstream applications. Yet, the adversarial…

Machine Learning · Computer Science 2021-05-31 Jiarong Xu , Yang Yang , Junru Chen , Chunping Wang , Xin Jiang , Jiangang Lu , Yizhou Sun

Recommendation models utilizing Graph Convolutional Networks (GCNs) have achieved state-of-the-art performance, as they can integrate both the node information and the topological structure of the user-item interaction graph. However, these…

Information Retrieval · Computer Science 2022-11-28 Xin Zhou , Donghui Lin , Yong Liu , Chunyan Miao

We study the task of semi-supervised learning on multilayer graphs by taking into account both labeled and unlabeled observations together with the information encoded by each individual graph layer. We propose a regularizer based on the…

Machine Learning · Computer Science 2019-10-31 Pedro Mercado , Francesco Tudisco , Matthias Hein

The recent promising achievements of deep learning rely on the large amount of labeled data. Considering the abundance of data on the web, most of them do not have labels at all. Therefore, it is important to improve generalization…

Neural and Evolutionary Computing · Computer Science 2016-01-20 Sheng-Yi Bai , Sebastian Agethen , Ting-Hsuan Chao , Winston Hsu

Graph convolutional networks (GCNs) have shown promising results in processing graph data by extracting structure-aware features. This gave rise to extensive work in geometric deep learning, focusing on designing network architectures that…

Machine Learning · Computer Science 2022-01-20 Yimeng Min , Frederik Wenkel , Guy Wolf
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