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Semi-supervised learning is highly useful in common scenarios where labeled data is scarce but unlabeled data is abundant. The graph (or nonlocal) Laplacian is a fundamental smoothing operator for solving various learning tasks. For…

Computer Vision and Pattern Recognition · Computer Science 2023-04-20 Or Streicher , Guy Gilboa

We consider the general problem of utilizing both labeled and unlabeled data to improve data representation performance. A new semi-supervised learning framework is proposed by combing manifold regularization and data representation methods…

Machine Learning · Computer Science 2015-02-16 Weiya Ren

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

The performance of traditional graph Laplacian methods for semi-supervised learning degrades substantially as the ratio of labeled to unlabeled data decreases, due to a degeneracy in the graph Laplacian. Several approaches have been…

Analysis of PDEs · Mathematics 2019-04-03 Jeff Calder , Dejan Slepcev

As annotations of data can be scarce in large-scale practical problems, leveraging unlabelled examples is one of the most important aspects of machine learning. This is the aim of semi-supervised learning. To benefit from the access to…

Machine Learning · Statistics 2021-11-30 Vivien Cabannes , Loucas Pillaud-Vivien , Francis Bach , Alessandro Rudi

We investigate a family of regression problems in a semi-supervised setting. The task is to assign real-valued labels to a set of $n$ sample points, provided a small training subset of $N$ labeled points. A goal of semi-supervised learning…

Statistics Theory · Mathematics 2017-10-17 Dejan Slepčev , Matthew Thorpe

In this work, we propose a simple yet effective meta-learning algorithm in semi-supervised learning. We notice that most existing consistency-based approaches suffer from overfitting and limited model generalization ability, especially when…

Machine Learning · Computer Science 2021-03-18 Xin-Yu Zhang , Taihong Xiao , Haolin Jia , Ming-Ming Cheng , Ming-Hsuan Yang

Consistency regularization on label predictions becomes a fundamental technique in semi-supervised learning, but it still requires a large number of training iterations for high performance. In this study, we analyze that the consistency…

Machine Learning · Computer Science 2022-06-10 Doyup Lee , Sungwoong Kim , Ildoo Kim , Yeongjae Cheon , Minsu Cho , Wook-Shin Han

Graph Semi-Supervised learning is an important data analysis tool, where given a graph and a set of labeled nodes, the aim is to infer the labels to the remaining unlabeled nodes. In this paper, we start by considering an optimization-based…

Machine Learning · Computer Science 2023-09-26 Sara Venturini , Andrea Cristofari , Francesco Rinaldi , Francesco Tudisco

Recent advances in semi-supervised learning have shown tremendous potential in overcoming a major barrier to the success of modern machine learning algorithms: access to vast amounts of human-labeled training data. Previous algorithms based…

Machine Learning · Computer Science 2019-11-22 Phi Vu Tran

This paper addresses theory and applications of $\ell_p$-based Laplacian regularization in semi-supervised learning. The graph $p$-Laplacian for $p>2$ has been proposed recently as a replacement for the standard ($p=2$) graph Laplacian in…

Numerical Analysis · Mathematics 2022-01-28 Mauricio Flores , Jeff Calder , Gilad Lerman

Laplace learning is a popular machine learning algorithm for finding missing labels from a small number of labelled feature vectors using the geometry of a graph. More precisely, Laplace learning is based on minimising a graph-Dirichlet…

Statistics Theory · Mathematics 2023-07-21 Adrien Weihs , Matthew Thorpe

Scarcity of labeled data has motivated the development of semi-supervised learning methods, which learn from large portions of unlabeled data alongside a few labeled samples. Consistency Regularization between model's predictions under…

Computer Vision and Pattern Recognition · Computer Science 2020-07-16 Aamir Mustafa , Rafal K. Mantiuk

Graph-based semi-supervised learning is the problem of propagating labels from a small number of labelled data points to a larger set of unlabelled data. This paper is concerned with the consistency of optimization-based techniques for such…

Machine Learning · Statistics 2020-03-11 Franca Hoffmann , Bamdad Hosseini , Zhi Ren , Andrew M. Stuart

Many classification problems involve data instances that are interlinked with each other, such as webpages connected by hyperlinks. Techniques for "collective classification" (CC) often increase accuracy for such data graphs, but usually…

Machine Learning · Computer Science 2012-07-03 Luke McDowell , David Aha

In machine learning, one must acquire labels to help supervise a model that will be able to generalize to unseen data. However, the labeling process can be tedious, long, costly, and error-prone. It is often the case that most of our data…

Machine Learning · Computer Science 2020-09-29 Bruno Klaus de Aquino Afonso , Lilian Berton

We study a semi-supervised learning method based on the similarity graph and RegularizedLaplacian. We give convenient optimization formulation of the Regularized Laplacian method and establishits various properties. In particular, we show…

Machine Learning · Computer Science 2015-08-21 Konstantin Avrachenkov , Pavel Chebotarev , Alexey Mishenin

Motivated by the need to address the degeneracy of canonical Laplace learning algorithms in low label rates, we propose to reformulate graph-based semi-supervised learning as a nonconvex generalization of a \emph{Trust-Region Subproblem}…

Machine Learning · Computer Science 2024-08-15 Chester Holtz , Pengwen Chen , Alexander Cloninger , Chung-Kuan Cheng , Gal Mishne

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

With fully leveraging the value of unlabeled data, semi-supervised medical image segmentation algorithms significantly reduces the limitation of limited labeled data, achieving a significant improvement in accuracy. However, the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Jialu Zhou , Dianxi Shi , Shaowu Yang , Chunping Qiu , Luoxi Jing , Mengzhu Wang
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