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In this paper we study variants of the widely used spectral clustering that partitions a graph into k clusters by (1) embedding the vertices of a graph into a low-dimensional space using the bottom eigenvectors of the Laplacian matrix, and…

Data Structures and Algorithms · Computer Science 2017-02-01 Richard Peng , He Sun , Luca Zanetti

We consider the problem of spectral clustering under group fairness constraints, where samples from each sensitive group are approximately proportionally represented in each cluster. Traditional fair spectral clustering (FSC) methods…

Machine Learning · Computer Science 2023-11-27 Xiang Zhang , Qiao Wang

Image clustering is an important and open-challenging task in computer vision. Although many methods have been proposed to solve the image clustering task, they only explore images and uncover clusters according to the image features, thus…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Shaotian Cai , Liping Qiu , Xiaojun Chen , Qin Zhang , Longteng Chen

Spectral graph theory-based methods represent an important class of tools for studying the structure of networks. Spectral methods are based on a first-order Markov chain derived from a random walk on the graph and thus they cannot take…

Social and Information Networks · Computer Science 2018-01-08 Austin R. Benson , David F. Gleich , Jure Leskovec

Deep subspace clustering (DSC) networks based on self-expressive model learn representation matrix, often implemented in terms of fully connected network, in the embedded space. After the learning is finished, representation matrix is used…

Computer Vision and Pattern Recognition · Computer Science 2024-01-31 Lovro Sindičić , Ivica Kopriva

Clustering using neural networks has recently demonstrated promising performance in machine learning and computer vision applications. However, the performance of current approaches is limited either by unsupervised learning or their…

Machine Learning · Computer Science 2018-07-11 Ankita Shukla , Gullal Singh Cheema , Saket Anand

Spectral clustering has become one of the most widely used clustering techniques when the structure of the individual clusters is non-convex or highly anisotropic. Yet, despite its immense popularity, there exists fairly little theory about…

Machine Learning · Statistics 2019-04-16 Shuyang Ling , Thomas Strohmer

Sparse Subspace Clustering (SSC) has achieved state-of-the-art clustering quality by performing spectral clustering over a $\ell^{1}$-norm based similarity graph. However, SSC is a transductive method which does not handle with the data not…

Machine Learning · Computer Science 2014-09-11 Xi Peng , Lei Zhang , Zhang Yi

Spectral Clustering is one of the most traditional methods to solve segmentation problems. Based on Normalized Cuts, it aims at partitioning an image using an objective function defined by a graph. Despite their mathematical attractiveness,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Rahul Palnitkar , Jeova Farias Sales Rocha Neto

We propose and analyze a method for semi-supervised learning from partially-labeled network-structured data. Our approach is based on a graph signal recovery interpretation under a clustering hypothesis that labels of data points belonging…

Machine Learning · Computer Science 2020-01-08 Alexander Jung , Alfred O. Hero , Alexandru Mara , Saeed Jahromi , Ayelet Heimowitz , Yonina C. Eldar

We study the problem of classifying the nodes of a given graph in the self-directed learning setup. This learning setting is a variant of online learning, where rather than an adversary determining the sequence in which nodes are presented,…

Machine Learning · Computer Science 2025-02-13 Georgy Sokolov , Maximilian Thiessen , Margarita Akhmejanova , Fabio Vitale , Francesco Orabona

The immense amount of time series data produced by astronomical surveys has called for the use of machine learning algorithms to discover and classify several million celestial sources. In the case of variable stars, supervised learning…

Solar and Stellar Astrophysics · Physics 2022-10-12 R. Pantoja , M. Catelan , K. Pichara , P. Protopapas

Clustering data objects into homogeneous groups is one of the most important tasks in data mining. Spectral clustering is arguably one of the most important algorithms for clustering, as it is appealing for its theoretical soundness and is…

Machine Learning · Statistics 2024-03-12 Dylan Soemitro , Jeova Farias Sales Rocha Neto

We consider the problem of clustering partially labeled data from a minimal number of randomly chosen pairwise comparisons between the items. We introduce an efficient local algorithm based on a power iteration of the non-backtracking…

Machine Learning · Computer Science 2018-06-28 Alaa Saade , Florent Krzakala , Marc Lelarge , Lenka Zdeborová

Spectral-type subspace clustering algorithms have shown excellent performance in many subspace clustering applications. The existing spectral-type subspace clustering algorithms either focus on designing constraints for the reconstruction…

Machine Learning · Computer Science 2023-05-08 Lai Wei , Zhengwei Chen , Jun Yin , Changming Zhu , Rigui Zhou , Jin Liu

Graph clustering is crucial for unraveling intricate data structures, yet it presents significant challenges due to its unsupervised nature. Recently, goal-directed clustering techniques have yielded impressive results, with contrastive…

Machine Learning · Computer Science 2025-07-21 Enhao Cheng , Shoujia Zhang , Jianhua Yin , Li Jin , Liqiang Nie

Existing weakly-supervised semantic segmentation methods using image-level annotations typically rely on initial responses to locate object regions. However, such response maps generated by the classification network usually focus on…

Computer Vision and Pattern Recognition · Computer Science 2020-08-05 Yu-Ting Chang , Qiaosong Wang , Wei-Chih Hung , Robinson Piramuthu , Yi-Hsuan Tsai , Ming-Hsuan Yang

Semi-supervised learning (SSL) addresses the critical challenge of training accurate models when labeled data is scarce but unlabeled data is abundant. Graph-based SSL (GSSL) has emerged as a popular framework that captures data structure…

Machine Learning · Statistics 2026-02-10 Nadav Katz , Ariel Jaffe

Clustering nodes in heterophilous graphs is challenging as traditional methods assume that effective clustering is characterized by high intra-cluster and low inter-cluster connectivity. To address this, we introduce HeNCler-a novel…

Machine Learning · Computer Science 2025-06-25 Sonny Achten , Zander Op de Beeck , Francesco Tonin , Volkan Cevher , Johan A. K. Suykens

We focus on spectral clustering of unlabeled graphs and review some results on clustering methods which achieve weak or strong consistent identification in data generated by such models. We also present a new algorithm which appears to…

Statistics Theory · Mathematics 2015-08-11 Sharmodeep Bhattacharyya , Peter J. Bickel