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Spectral clustering is a fundamental technique in the field of data mining and information processing. Most existing spectral clustering algorithms integrate dimensionality reduction into the clustering process assisted by manifold learning…

Machine Learning · Computer Science 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang , Xiaofang Zhou

We introduce a novel framework that directly learns a spectral basis for shape and manifold analysis from unstructured data, eliminating the need for traditional operator selection, discretization, and eigensolvers. Grounded in…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Roy Velich , Arkadi Piven , David Bensaïd , Daniel Cremers , Thomas Dagès , Ron Kimmel

Leveraging on the underlying low-dimensional structure of data, low-rank and sparse modeling approaches have achieved great success in a wide range of applications. However, in many applications the data can display structures beyond simply…

Machine Learning · Computer Science 2019-12-04 Zhao Kang , Xiao Lu , Yiwei Lu , Chong Peng , Zenglin Xu

We propose a novel probabilistic dimensionality reduction framework that can naturally integrate the generative model and the locality information of data. Based on this framework, we present a new model, which is able to learn a smooth…

Machine Learning · Statistics 2016-10-18 Li Wang

One of the prevailing trends in the machine- and deep-learning community is to gravitate towards the use of increasingly larger models in order to keep pushing the state-of-the-art performance envelope. This tendency makes access to the…

Machine Learning · Computer Science 2023-05-29 Shadi Sartipi , Edgar A. Bernal

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

This paper presents a semi-supervised learning framework that is new in being designed for automatic modulation classification (AMC). By carefully utilizing unlabeled signal data with a self-supervised contrastive-learning pre-training…

Machine Learning · Computer Science 2022-03-31 Dongxin Liu , Peng Wang , Tianshi Wang , Tarek Abdelzaher

Unsupervised domain adaptation is effective in leveraging the rich information from the source domain to the unsupervised target domain. Though deep learning and adversarial strategy make an important breakthrough in the adaptability of…

Machine Learning · Computer Science 2020-03-02 You-Wei Luo , Chuan-Xian Ren , Pengfei Ge , Ke-Kun Huang , Yu-Feng Yu

Regularization techniques are widely employed in optimization-based approaches for solving ill-posed inverse problems in data analysis and scientific computing. These methods are based on augmenting the objective with a penalty function,…

Optimization and Control · Mathematics 2021-06-08 Yong Sheng Soh , Venkat Chandrasekaran

We exploit a recently derived inversion scheme for arbitrary deep neural networks to develop a new semi-supervised learning framework that applies to a wide range of systems and problems. The approach outperforms current state-of-the-art…

Machine Learning · Statistics 2017-11-15 Randall Balestriero , Vincent Roger , Herve G. Glotin , Richard G. Baraniuk

We focus on a specific use case in anomaly detection where the distribution of normal samples is supported by a lower-dimensional manifold. Here, regularized autoencoders provide a popular approach by learning the identity mapping on the…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Alexander Bauer , Shinichi Nakajima , Klaus-Robert Müller

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 article is an overview of supervised machine learning problems for regression and classification. Topics include: kernel methods, training by stochastic gradient descent, deep learning architecture, losses for classification,…

Machine Learning · Computer Science 2019-10-04 Adam M Oberman

Semi-supervised learning deals with the problem of how, if possible, to take advantage of a huge amount of not classified data, to perform classification, in situations when, typically, the labelled data are few. Even though this is not…

Statistics Theory · Mathematics 2017-12-18 Alejandro Cholaquidis , Ricardo Fraiman , Mariela Sued

Deep networks are successfully used as classification models yielding state-of-the-art results when trained on a large number of labeled samples. These models, however, are usually much less suited for semi-supervised problems because of…

Machine Learning · Computer Science 2018-12-05 Elad Hoffer , Nir Ailon

Semi-supervised learning offers an appealing solution for remote sensing (RS) image segmentation to relieve the burden of labor-intensive pixel-level labeling. However, RS images pose unique challenges, including rich multi-scale features…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Shanwen Wang , Xin Sun , Changrui Chen , Danfeng Hong , Jungong Han

In this paper, Kernel PCA is reinterpreted as the solution to a convex optimization problem. Actually, there is a constrained convex problem for each principal component, so that the constraints guarantee that the principal component is…

Machine Learning · Computer Science 2017-10-25 Carlos M. Alaíz , Michaël Fanuel , Johan A. K. Suykens

The development of semi-supervised learning (SSL) has in recent years largely focused on the development of new consistency regularization or entropy minimization approaches, often resulting in models with complex training strategies to…

Machine Learning · Computer Science 2025-07-01 Durgesh Singh , Ahcene Boubekki , Robert Jenssen , Michael C. Kampffmeyer

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

Despite significant progress in object categorization, in recent years, a number of important challenges remain, mainly, ability to learn from limited labeled data and ability to recognize object classes within large, potentially open, set…

Computer Vision and Pattern Recognition · Computer Science 2016-04-26 Yanwei Fu , Leonid Sigal