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相关论文: Masked Subspace Clustering Methods

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Subspace clustering methods face inherent scalability limits due to the $O(n^3)$ cost (with $n$ denoting the number of data samples) of constructing full $n\times n$ affinities and performing spectral decomposition. While deep…

计算机视觉与模式识别 · 计算机科学 2025-12-29 Nairouz Mrabah , Mohamed Bouguessa , Sihem Sami

Spectral clustering is a popular clustering method. It first maps data into the spectral embedding space and then uses Kmeans to find clusters. However, the two decoupled steps prohibit joint optimization for the optimal solution. In…

机器学习 · 计算机科学 2024-12-17 Wengang Guo , Wei Ye

Hyperspectral image (HSI) clustering is a challenging task due to the high complexity of HSI data. Subspace clustering has been proven to be powerful for exploiting the intrinsic relationship between data points. Despite the impressive…

计算机视觉与模式识别 · 计算机科学 2020-09-01 Yaoming Cai , Zijia Zhang , Zhihua Cai , Xiaobo Liu , Xinwei Jiang , Qin Yan

Subspace clustering is a classical unsupervised learning task, built on a basic assumption that high-dimensional data can be approximated by a union of subspaces (UoS). Nevertheless, the real-world data are often deviating from the UoS…

计算机视觉与模式识别 · 计算机科学 2025-03-24 Xianghan Meng , Zhiyuan Huang , Wei He , Xianbiao Qi , Rong Xiao , Chun-Guang Li

Recently, sparse subspace clustering has been a valid tool to deal with high-dimensional data. There are two essential steps in the framework of sparse subspace clustering. One is solving the coefficient matrix of data, and the other is…

计算机视觉与模式识别 · 计算机科学 2019-12-24 Wen-Jin Fu , Xiao-Jun Wu , He-Feng Yin , Wen-Bo Hu

Spectral Clustering (SC) is one of the most widely used methods for data clustering. It first finds a low-dimensonal embedding $U$ of data by computing the eigenvectors of the normalized Laplacian matrix, and then performs k-means on…

计算机视觉与模式识别 · 计算机科学 2018-05-29 Canyi Lu , Shuicheng Yan , Zhouchen Lin

We discuss topological aspects of cluster analysis and show that inferring the topological structure of a dataset before clustering it can considerably enhance cluster detection: theoretical arguments and empirical evidence show that…

机器学习 · 计算机科学 2022-07-04 Moritz Herrmann , Daniyal Kazempour , Fabian Scheipl , Peer Kröger

Subspace clustering is an important unsupervised clustering approach. It is based on the assumption that the high-dimensional data points are approximately distributed around several low-dimensional linear subspaces. The majority of the…

机器学习 · 计算机科学 2021-12-20 Maryam Abdolali , Nicolas Gillis

The minimum sum-of-squares clustering (MSSC), or k-means type clustering, is traditionally considered an unsupervised learning task. In recent years, the use of background knowledge to improve the cluster quality and promote…

最优化与控制 · 数学 2022-07-26 Veronica Piccialli , Anna Russo Russo , Antonio M. Sudoso

In this paper, we introduce a Fast and Scalable Semi-supervised Multi-view Subspace Clustering (FSSMSC) method, a novel solution to the high computational complexity commonly found in existing approaches. FSSMSC features linear…

机器学习 · 计算机科学 2024-08-13 Huaming Ling , Chenglong Bao , Jiebo Song , Zuoqiang Shi

This paper considers the problem of clustering a collection of unlabeled data points assumed to lie near a union of lower-dimensional planes. As is common in computer vision or unsupervised learning applications, we do not know in advance…

信息论 · 计算机科学 2013-01-31 Mahdi Soltanolkotabi , Emmanuel J. Candés

Clustering is a fundamental unsupervised representation learning task with wide application in computer vision and pattern recognition. Deep clustering utilizes deep neural networks to learn latent representation, which is suitable for…

计算机视觉与模式识别 · 计算机科学 2023-12-27 Wenhao Wu , Weiwei Wang , Shengjiang Kong

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

计算机视觉与模式识别 · 计算机科学 2014-03-11 Qiang Qiu , Guillermo Sapiro

Co-clustering exploits the duality of instances and features to simultaneously uncover meaningful groups in both dimensions, often outperforming traditional clustering in high-dimensional or sparse data settings. Although recent deep…

机器学习 · 计算机科学 2025-04-10 Ashwin Vinod , Chandrajit Bajaj

This paper presents a novel method for clustering surfaces. The proposal involves first using basis functions in a tensor product to smooth the data and thus reduce the dimension to a finite number of coefficients, and then using these…

统计方法学 · 统计学 2021-02-04 Adriano Zanin Zambom , Qing Wang , Ronaldo Dias

In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

机器学习 · 统计学 2012-03-07 Brian McWilliams , Giovanni Montana

Multi-view clustering has shown to be an effective method for analyzing underlying patterns in multi-view data. The performance of clustering can be improved by learning the consistency and complementarity between multi-view features,…

计算机视觉与模式识别 · 计算机科学 2025-08-20 Shihao Dong , Yuhui Zheng , Huiying Xu , Xinzhong Zhu

Multi-view clustering can explore consistent information from different views to guide clustering. Most existing works focus on pursuing shallow consistency in the feature space and integrating the information of multiple views into a…

机器学习 · 计算机科学 2023-05-18 Yiyang Zhou , Qinghai Zheng , Wenbiao Yan , Yifei Wang , Pengcheng Shi , Jihua Zhu

Clustering is a fundamental technique in data analysis and machine learning, used to group similar data points together. Among various clustering methods, the Minimum Sum-of-Squares Clustering (MSSC) is one of the most widely used. MSSC…

最优化与控制 · 数学 2025-10-08 Anna Livia Croella , Veronica Piccialli , Antonio M. Sudoso

Spatial domain identification requires jointly modeling molecular signatures and physical coordinates, yet current tools frequently over-smooth biological boundaries, require user-specified cluster numbers, and lack principled multimodal…

应用统计 · 统计学 2026-05-18 Xin Li , Xiaofei Dong , Zhenke Duan , Lulu Shang , Xiao Wang , Xinyuan Song , Hanwen Ning , Guanyu Hu