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An important form of prior information in clustering comes in form of cannot-link and must-link constraints. We present a generalization of the popular spectral clustering technique which integrates such constraints. Motivated by the…

Machine Learning · Statistics 2015-05-26 Syama Sundar Rangapuram , Matthias Hein

Subspace clustering (SC) algorithms utilize the union of subspaces model to cluster data points according to the subspaces from which they are drawn. To better address separability of subspaces and robustness to noise we propose a wavelet…

Machine Learning · Computer Science 2024-06-07 Ivica Kopriva , Damir Sersic

Block coordinate descent (BCD) methods and their variants have been widely used in coping with large-scale nonconstrained optimization problems in many fields such as imaging processing, machine learning, compress sensing and so on. For…

Optimization and Control · Mathematics 2018-04-04 Daoli Zhu , Lei Zhao

Subspace clustering is a useful technique for many computer vision applications in which the intrinsic dimension of high-dimensional data is often smaller than the ambient dimension. Spectral clustering, as one of the main approaches to…

Machine Learning · Computer Science 2018-03-16 Lei Zhou , Xiao Bai , Xianglong Liu , Jun Zhou , Hancock Edwin

This paper studies the subspace clustering problem. Given some data points approximately drawn from a union of subspaces, the goal is to group these data points into their underlying subspaces. Many subspace clustering methods have been…

Computer Vision and Pattern Recognition · Computer Science 2018-05-24 Canyi Lu , Jiashi Feng , Zhouchen Lin , Tao Mei , Shuicheng Yan

Recently, the sparse vector code (SVC) is emerging as a promising solution for short-packet transmission in massive machine type communication (mMTC) as well as ultra-reliable and low-latency communication (URLLC). In the SVC process, the…

Information Theory · Computer Science 2022-09-02 Linjie Yang , Pingzhi Fan

Spectral clustering techniques are valuable tools in signal processing and machine learning for partitioning complex data sets. The effectiveness of spectral clustering stems from constructing a non-linear embedding based on creating a…

Machine Learning · Computer Science 2021-02-02 Farhad Pourkamali-Anaraki

Multi-view clustering has attracted broad attention due to its capacity to utilize consistent and complementary information among views. Although tremendous progress has been made recently, most existing methods undergo high complexity,…

Machine Learning · Computer Science 2023-06-28 Xinhang Wan , Jiyuan Liu , Xinwang Liu , Siwei Wang , Yi Wen , Tianjiao Wan , Li Shen , En Zhu

Clustering high-dimensional spatiotemporal data using an unsupervised approach is a challenging problem for many data-driven applications. Existing state-of-the-art methods for unsupervised clustering use different similarity and distance…

Machine Learning · Computer Science 2023-09-15 Omar Faruque , Francis Ndikum Nji , Mostafa Cham , Rohan Mandar Salvi , Xue Zheng , Jianwu Wang

In this paper, we consider clustering data that is assumed to come from one of finitely many pointed convex polyhedral cones. This model is referred to as the Union of Polyhedral Cones (UOPC) model. Similar to the Union of Subspaces (UOS)…

Machine Learning · Statistics 2017-11-03 Wenqi Wang , Vaneet Aggarwal , Shuchin Aeron

Dictionary learning and sparse coding have been widely studied as mechanisms for unsupervised feature learning. Unsupervised learning could bring enormous benefit to the processing of hyperspectral images and to other remote sensing data…

Image and Video Processing · Electrical Eng. & Systems 2022-02-03 Joshua Bruton , Hairong Wang

A plethora of multi-view subspace clustering (MVSC) methods have been proposed over the past few years. Researchers manage to boost clustering accuracy from different points of view. However, many state-of-the-art MVSC algorithms, typically…

Machine Learning · Computer Science 2019-11-22 Zhao Kang , Wangtao Zhou , Zhitong Zhao , Junming Shao , Meng Han , Zenglin Xu

Sparse convex clustering is to cluster observations and conduct variable selection simultaneously in the framework of convex clustering. Although a weighted $L_1$ norm is usually employed for the regularization term in sparse convex…

Machine Learning · Statistics 2020-05-27 Kaito Shimamura , Shuichi Kawano

When solving real-world problems, practitioners often hesitate to implement solutions obtained from mathematical models, especially for important decisions. This hesitation stems from practitioners' lack of trust in optimization models and…

Optimization and Control · Mathematics 2025-07-01 Susumu Hashimoto , Takeaki Uno

Multi-view data clustering attracts more attention than their single view counterparts due to the fact that leveraging multiple independent and complementary information from multi-view feature spaces outperforms the single one. Multi-view…

Computer Vision and Pattern Recognition · Computer Science 2017-12-08 Yang Wang , Lin Wu

Pansharpening is a fundamental issue in remote sensing field. This paper proposes a side information partially guided convolutional sparse coding (SCSC) model for pansharpening. The key idea is to split the low resolution multispectral…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Shuang Xu , Jiangshe Zhang , Kai Sun , Zixiang Zhao , Lu Huang , Junmin Liu , Chunxia Zhang

Subspace clustering refers to the problem of clustering high-dimensional data points into a union of low-dimensional linear subspaces, where the number of subspaces, their dimensions and orientations are all unknown. In this paper, we…

Machine Learning · Statistics 2014-03-17 Reinhard Heckel , Eirikur Agustsson , Helmut Bölcskei

Sparse subspace clustering (SSC) relies on sparse regression for accurate neighbor identification. Inspired by recent progress in compressive sensing, this paper proposes a new sparse regression scheme for SSC via two-step reweighted…

Information Theory · Computer Science 2019-07-18 Jwo-Yuh Wu , Liang-Chi Huang , Ming-Hsun Yang , Chun-Hung Liu

Spectral clustering is a popular and effective algorithm designed to find $k$ clusters in a graph $G$. In the classical spectral clustering algorithm, the vertices of $G$ are embedded into $\mathbb{R}^k$ using $k$ eigenvectors of the graph…

Data Structures and Algorithms · Computer Science 2023-10-18 Peter Macgregor

In this letter, we propose a novel semi-supervised subspace clustering method, which is able to simultaneously augment the initial supervisory information and construct a discriminative affinity matrix. By representing the limited amount of…

Computer Vision and Pattern Recognition · Computer Science 2023-01-05 Yuheng Jia , Guanxing Lu , Hui Liu , Junhui Hou
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