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Semi-supervised Laplacian regularization, a standard graph-based approach for learning from both labelled and unlabelled data, was recently demonstrated to have an insignificant high dimensional learning efficiency with respect to…

Machine Learning · Computer Science 2020-06-16 Xiaoyi Mai , Romain Couillet

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

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

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

Graph-based methods have been quite successful in solving unsupervised and semi-supervised learning problems, as they provide a means to capture the underlying geometry of the dataset. It is often desirable for the constructed graph to…

Machine Learning · Computer Science 2019-04-16 Aamir Anis , Aly El Gamal , Salman Avestimehr , Antonio Ortega

A popular approach to semi-supervised learning proceeds by endowing the input data with a graph structure in order to extract geometric information and incorporate it into a Bayesian framework. We introduce new theory that gives appropriate…

Machine Learning · Statistics 2020-01-14 Nicolas Garcia Trillos , Zachary Kaplan , Thabo Samakhoana , Daniel Sanz-Alonso

In this paper, we propose a novel graph-based approach for semi-supervised learning problems, which considers an adaptive adjacency of the examples throughout the unsupervised portion of the training. Adjacency of the examples is inferred…

Machine Learning · Computer Science 2020-08-06 Ozsel Kilinc , Ismail Uysal

We consider a family of problems that are concerned about making predictions for the majority of unlabeled, graph-structured data samples based on a small proportion of labeled samples. Relational information among the data samples, often…

Machine Learning · Computer Science 2019-11-05 Jiaqi Ma , Weijing Tang , Ji Zhu , Qiaozhu Mei

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

Semi-Supervised image classification is one of the most fundamental problem in computer vision, which significantly reduces the need for human labor. In this paper, we introduce a new semi-supervised learning algorithm - SimMatchV2, which…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Mingkai Zheng , Shan You , Lang Huang , Chen Luo , Fei Wang , Chen Qian , Chang Xu

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

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

Computational efficiency is a major bottleneck in using classic graph-based approaches for semi-supervised learning on datasets with a large number of unlabeled examples. Known techniques to improve efficiency typically involve an…

Machine Learning · Computer Science 2023-06-13 Dravyansh Sharma , Maxwell Jones

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

The quality of a graph is determined jointly by three key factors of the graph: nodes, edges and similarity measure (or edge weights), and is very crucial to the success of graph-based semi-supervised learning (SSL) approaches. Recently,…

Machine Learning · Computer Science 2020-02-25 Zihao Wang , Enmei Tu , Zhou Meng

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

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

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

We study graph-based Laplacian semi-supervised learning at low labeling rates. Laplacian learning uses harmonic extension on a graph to propagate labels. At very low label rates, Laplacian learning becomes degenerate and the solution is…

Statistics Theory · Mathematics 2020-06-05 Jeff Calder , Dejan Slepčev , Matthew Thorpe

This paper presents an approach to semi-supervised learning for the classification of data using the Lipschitz Learning on graphs. We develop a graph-based semi-supervised learning framework that leverages the properties of the infinity…

Machine Learning · Computer Science 2024-11-06 Farid Bozorgnia , Yassine Belkheiri , Abderrahim Elmoataz
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