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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

In real-world applications, data do not reflect the ones commonly used for neural networks training, since they are usually few, unlabeled and can be available as a stream. Hence many existing deep learning solutions suffer from a limited…

Machine Learning · Computer Science 2020-11-18 Alessia Bertugli , Stefano Vincenzi , Simone Calderara , Andrea Passerini

We consider spectral clustering algorithms for community detection under a general bipartite stochastic block model (SBM). A modern spectral clustering algorithm consists of three steps: (1) regularization of an appropriate adjacency or…

Statistics Theory · Mathematics 2018-12-27 Zhixin Zhou , Arash A. Amini

Recent studies have demonstrated the effectiveness of clustering-based approaches for self-supervised and unsupervised learning. However, the application of clustering is often heuristic, and the optimal methodology remains unclear. In this…

Machine Learning · Computer Science 2025-11-10 Xiaodong Wang , Jing Huang , Kevin J Liang

Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

Machine Learning · Computer Science 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert

This work presents an unsupervised deep discriminant analysis for clustering. The method is based on deep neural networks and aims to minimize the intra-cluster discrepancy and maximize the inter-cluster discrepancy in an unsupervised…

Machine Learning · Computer Science 2022-06-13 Jinyu Cai , Wenzhong Guo , Jicong Fan

Accurate land cover segmentation of spectral images is challenging and has drawn widespread attention in remote sensing due to its inherent complexity. Although significant efforts have been made for developing a variety of methods, most of…

Image and Video Processing · Electrical Eng. & Systems 2021-11-30 Carlos Hinojosa , Esteban Vera , Henry Arguello

Subspace clustering is to find underlying low-dimensional subspaces and cluster the data points correctly. In this paper, we propose a novel multi-view subspace clustering method. Most existing methods suffer from two critical issues.…

Artificial Intelligence · Computer Science 2022-05-24 Mengyuan Zhang , Kai Liu

Recently, there has been increasing interest to leverage the competence of neural networks to analyze data. In particular, new clustering methods that employ deep embeddings have been presented. In this paper, we depart from centroid-based…

Computer Vision and Pattern Recognition · Computer Science 2018-10-22 Sharon Fogel , Hadar Averbuch-Elor , Jacov Goldberger , Daniel Cohen-Or

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

Machine Learning · Computer Science 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo

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

Deep clustering has increasingly been demonstrating superiority over conventional shallow clustering algorithms. Deep clustering algorithms usually combine representation learning with deep neural networks to achieve this performance,…

Machine Learning · Computer Science 2020-07-01 Ryan McConville , Raul Santos-Rodriguez , Robert J Piechocki , Ian Craddock

Subspace clustering aims to group data points that lie in a union of low-dimensional subspaces and finds wide application in computer vision, hyperspectral imaging, and recommendation systems. However, most existing methods assume fully…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Huanran Li , Daniel Pimentel-Alarcón

Spectral clustering is a widely studied problem, yet its complexity is prohibitive for dynamic graphs of even modest size. We claim that it is possible to reuse information of past cluster assignments to expedite computation. Our approach…

Machine Learning · Statistics 2017-06-13 Lionel Martin , Andreas Loukas , Pierre Vandergheynst

In spectral clustering, one defines a similarity matrix for a collection of data points, transforms the matrix to get the Laplacian matrix, finds the eigenvectors of the Laplacian matrix, and obtains a partition of the data using the…

Machine Learning · Computer Science 2012-10-19 Leonard K. M. Poon , April H. Liu , Tengfei Liu , Nevin Lianwen Zhang

Image clustering is one of the most important computer vision applications, which has been extensively studied in literature. However, current clustering methods mostly suffer from lack of efficiency and scalability when dealing with…

Machine Learning · Computer Science 2017-08-10 Kamran Ghasedi Dizaji , Amirhossein Herandi , Cheng Deng , Weidong Cai , Heng Huang

In the past decades, spectral clustering (SC) has become one of the most effective clustering algorithms. However, most previous studies focus on spectral clustering tasks with a fixed task set, which cannot incorporate with a new spectral…

Machine Learning · Computer Science 2019-12-02 Gan Sun , Yang Cong , Qianqian Wang , Jun Li , Yun Fu

Deep neural networks have recently achieved state of the art performance thanks to new training algorithms for rapid parameter estimation and new regularization methods to reduce overfitting. However, in practice the network architecture…

Machine Learning · Computer Science 2016-03-04 Minyoung Kim , Luca Rigazio

The clustering of unlabeled raw images is a daunting task, which has recently been approached with some success by deep learning methods. Here we propose an unsupervised clustering framework, which learns a deep neural network in an…

Computer Vision and Pattern Recognition · Computer Science 2020-12-16 Guy Shiran , Daphna Weinshall

Spectral clustering is a celebrated algorithm that partitions objects based on pairwise similarity information. While this approach has been successfully applied to a variety of domains, it comes with limitations. The reason is that there…

Statistics Theory · Mathematics 2018-05-24 Kwangjun Ahn , Kangwook Lee , Changho Suh