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We develop a generalized optimization framework for graph-based semi-supervised learning. The framework gives as particular cases the Standard Laplacian, Normalized Laplacian and PageRank based methods. We have also provided new…

Networking and Internet Architecture · Computer Science 2011-10-20 Konstantin Avrachenkov , Paulo Gonçalves , Alexey Mishenin , Marina Sokol

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

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

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 present a simple, yet effective, approach to Semi-Supervised Learning. Our approach is based on estimating density-based distances (DBD) using a shortest path calculation on a graph. These Graph-DBD estimates can then be used in any…

Machine Learning · Computer Science 2012-02-20 Avleen S. Bijral , Nathan Ratliff , Nathan Srebro

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

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

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

Protein function prediction is the important problem in modern biology. In this paper, the un-normalized, symmetric normalized, and random walk graph Laplacian based semi-supervised learning methods will be applied to the integrated network…

Machine Learning · Computer Science 2013-07-12 Loc 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

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

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

Semi-supervised learning (SSL) is an indispensable tool when there are few labeled entities and many unlabeled entities for which we want to predict labels. With graph-based methods, entities correspond to nodes in a graph and edges…

Machine Learning · Computer Science 2017-01-23 Edith Cohen

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

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

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

Most network-based machine learning methods assume that the labels of two adjacent samples in the network are likely to be the same. However, assuming the pairwise relationship between samples is not complete. The information a group of…

Machine Learning · Statistics 2019-04-30 Loc Hoang Tran , Linh Hoang Tran

We describe a computationally efficient, stochastic graph-regularization technique that can be utilized for the semi-supervised training of deep neural networks in a parallel or distributed setting. We utilize a technique, first described…

Machine Learning · Statistics 2018-05-31 Sunil Thulasidasan , Jeffrey Bilmes , Garrett Kenyon

Semi-supervised learning with manifold regularization is a classical framework for jointly learning from both labeled and unlabeled data, where the key requirement is that the support of the unknown marginal distribution has the geometric…

Machine Learning · Computer Science 2026-05-28 Xuelin Zhang , Hong Chen , Yingjie Wang , Tieliang Gong , Bin Gu

Much more attention has been paid to unsupervised feature selection nowadays due to the emergence of massive unlabeled data. The distribution of samples and the latent effect of training a learning method using samples in more effective…

Machine Learning · Computer Science 2021-12-15 Weiyi Li , Hongmei Chen , Tianrui Li , Jihong Wan , Binbin Sang
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