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The `Signal plus Noise' model for nonparametric regression can be extended to the case of observations taken at the vertices of a graph. This model includes many familiar regression problems. This article discusses the use of the edges of a…

Methodology · Statistics 2009-11-11 Arne Kovac , Andrew D. A. C. Smith

In this paper, we propose a semi-supervised dictionary learning method that uses both the information in labelled and unlabelled data and jointly trains a linear classifier embedded on the sparse codes. The manifold structure of the data in…

Machine Learning · Computer Science 2018-12-12 Khanh-Hung Tran , Fred-Maurice Ngole-Mboula , Jean-Luc Starck

Graph neural networks (GNNs), which learn the node representations by recursively aggregating information from its neighbors, have become a predominant computational tool in many domains. To handle large-scale graphs, most of the existing…

Machine Learning · Computer Science 2021-09-01 Kaixiong Zhou , Ninghao Liu , Fan Yang , Zirui Liu , Rui Chen , Li Li , Soo-Hyun Choi , Xia Hu

Despite Graph neural networks' significant performance gain over many classic techniques in various graph-related downstream tasks, their successes are restricted in shallow models due to over-smoothness and the difficulties of…

Machine Learning · Computer Science 2023-12-15 Jin Li , Qirong Zhang , Shuling Xu , Xinlong Chen , Longkun Guo , Yang-Geng Fu

Semi-supervised learning on real-world graphs is frequently challenged by heterophily, where the observed graph is unreliable or label-disassortative. Many existing graph neural networks either rely on a fixed adjacency structure or attempt…

Machine Learning · Computer Science 2026-01-06 Yoonhyuk Choi , Jiho Choi , Chanran Kim , Yumin Lee , Hawon Shin , Yeowon Jeon , Minjeong Kim , Jiwoo Kang

We focus on developing a novel scalable graph-based semi-supervised learning (SSL) method for a small number of labeled data and a large amount of unlabeled data. Due to the lack of labeled data and the availability of large-scale unlabeled…

Machine Learning · Computer Science 2019-12-06 Zitong Wang , Li Wang , Raymond Chan , Tieyong Zeng

Graph Neural Networks (GNNs) have achieved state-of-the-art performance in solving graph classification tasks. However, most GNN architectures aggregate information from all nodes and edges in a graph, regardless of their relevance to the…

Machine Learning · Statistics 2024-04-19 Pablo Sanchez-Martin , Kinaan Aamir Khan , Isabel Valera

Recent advances in quantum technology have led to the development and the manufacturing of programmable quantum annealers that promise to solve certain combinatorial optimization problems faster than their classical counterparts.…

Quantum Physics · Physics 2021-05-26 Yu-Lin Zheng , Wen Zhang , Cheng Zhou , Wei Geng

This paper studies semi-supervised graph classification, a crucial task with a wide range of applications in social network analysis and bioinformatics. Recent works typically adopt graph neural networks to learn graph-level representations…

Machine Learning · Computer Science 2023-04-25 Wei Ju , Xiao Luo , Meng Qu , Yifan Wang , Chong Chen , Minghua Deng , Xian-Sheng Hua , Ming Zhang

Video anomaly detection under weak labels is formulated as a typical multiple-instance learning problem in previous works. In this paper, we provide a new perspective, i.e., a supervised learning task under noisy labels. In such a…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Jia-Xing Zhong , Nannan Li , Weijie Kong , Shan Liu , Thomas H. Li , Ge Li

We consider the NP-hard problem of MAP-inference for undirected discrete graphical models. We propose a polynomial time and practically efficient algorithm for finding a part of its optimal solution. Specifically, our algorithm marks some…

Computer Vision and Pattern Recognition · Computer Science 2017-02-06 Alexander Shekhovtsov , Paul Swoboda , Bogdan Savchynskyy

Node classification in attributed graphs is an important task in multiple practical settings, but it can often be difficult or expensive to obtain labels. Active learning can improve the achieved classification performance for a given…

Machine Learning · Computer Science 2020-07-13 Florence Regol , Soumyasundar Pal , Yingxue Zhang , Mark Coates

Time-varying graph signal recovery has been widely used in many applications, including climate change, environmental hazard monitoring, and epidemic studies. It is crucial to choose appropriate regularizations to describe the…

Signal Processing · Electrical Eng. & Systems 2024-05-17 Weihong Guo , Yifei Lou , Jing Qin , Ming Yan

Graph Neural Networks (GNNs) have achieved great success in learning graph representations and thus facilitating various graph-related tasks. However, most GNN methods adopt a supervised learning setting, which is not always feasible in…

Machine Learning · Computer Science 2022-08-16 Hongliang Chi , Yao Ma

We propose a kernel regression method to predict a target signal lying over a graph when an input observation is given. The input and the output could be two different physical quantities. In particular, the input may not be a graph signal…

Information Theory · Computer Science 2019-08-02 Arun Venkitaraman , Saikat Chatterjee , Peter Händel

We consider the problem of learning a sparse graph under the Laplacian constrained Gaussian graphical models. This problem can be formulated as a penalized maximum likelihood estimation of the Laplacian constrained precision matrix. Like in…

Machine Learning · Computer Science 2023-09-06 Jiaxi Ying , José Vinícius de M. Cardoso , Daniel P. Palomar

Due to a huge volume of information in many domains, the need for classification methods is imperious. In spite of many advances, most of the approaches require a large amount of labeled data, which is often not available, due to costs and…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Lucas Pascotti Valem , Daniel Carlos Guimarães Pedronette , Longin Jan Latecki

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

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

Semi-supervised learning algorithms typically construct a weighted graph of data points to represent a manifold. However, an explicit graph representation is problematic for neural networks operating in the online setting. Here, we propose…

Machine Learning · Computer Science 2019-10-22 Alexander Genkin , Anirvan M. Sengupta , Dmitri Chklovskii
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