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Human Motion Segmentation (HMS), which aims to partition videos into non-overlapping human motions, has attracted increasing research attention recently. Existing approaches for HMS are mainly dominated by subspace clustering methods, which…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Xianghan Meng , Zhengyu Tong , Zhiyuan Huang , Chun-Guang Li

Subspace clustering is a growing field of unsupervised learning that has gained much popularity in the computer vision community. Applications can be found in areas such as motion segmentation and face clustering. It assumes that data…

Machine Learning · Statistics 2019-11-12 Hankui Peng , Nicos G. Pavlidis

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

Clustering high-dimensional datasets is hard because interpoint distances become less informative in high-dimensional spaces. We present a clustering algorithm that performs nonlinear dimensionality reduction and clustering jointly. The…

Machine Learning · Computer Science 2018-03-06 Sohil Atul Shah , Vladlen Koltun

With rapidly increasing data, clustering algorithms are important tools for data analytics in modern research. They have been successfully applied to a wide range of domains; for instance, bioinformatics, speech recognition, and financial…

Data Structures and Algorithms · Computer Science 2015-12-01 Ka-Chun Wong

Motion segmentation is a fundamental problem in computer vision and is crucial in various applications such as robotics, autonomous driving and action recognition. Recently, spectral clustering based methods have shown impressive results on…

Computer Vision and Pattern Recognition · Computer Science 2024-05-08 Yuxiang Huang , John Zelek

Clustering algorithms remain valuable tools for grouping and summarizing the most important aspects of data. Example areas where this is the case include image segmentation, dimension reduction, signals analysis, model order reduction,…

Numerical Analysis · Mathematics 2024-12-24 Guy B. Oldaker , Maria Emelianenko

We propose an effective subspace selection scheme as a post-processing step to improve results obtained by sparse subspace clustering (SSC). Our method starts by the computation of stable subspaces using a novel random sampling scheme. Thus…

Computer Vision and Pattern Recognition · Computer Science 2016-05-30 Duc-Son Pham , Ognjen Arandjelovic , Svetha Venkatesh

Subspace clustering refers to the problem of clustering unlabeled high-dimensional data points into a union of low-dimensional linear subspaces, whose number, orientations, and dimensions are all unknown. In practice one may have access to…

Machine Learning · Statistics 2015-12-15 Reinhard Heckel , Michael Tschannen , Helmut Bölcskei

The goal of video segmentation is to turn video data into a set of concrete motion clusters that can be easily interpreted as building blocks of the video. There are some works on similar topics like detecting scene cuts in a video, but…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Hajar Sadeghi Sokeh , Vasileios Argyriou , Dorothy Monekosso , Paolo Remagnino

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

This paper introduces {\em fusion subspace clustering}, a novel method to learn low-dimensional structures that approximate large scale yet highly incomplete data. The main idea is to assign each datum to a subspace of its own, and minimize…

Machine Learning · Computer Science 2022-05-24 Usman Mahmood , Daniel Pimentel-Alarcón

Many approaches to 3D image segmentation are based on hierarchical clustering of supervoxels into image regions. Here we describe a distributed algorithm capable of handling a tremendous number of supervoxels. The algorithm works…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Ran Lu , Aleksandar Zlateski , H. Sebastian Seung

In this paper we present a new model and an algorithm for unsupervised clustering of 2-D data such as images. We assume that the data comes from a union of multilinear subspaces (UOMS) model, which is a specific structured case of the much…

Information Theory · Computer Science 2015-12-22 Eric Kernfeld , Nathan Majumder , Shuchin Aeron , Misha Kilmer

Modern inference and learning often hinge on identifying low-dimensional structures that approximate large scale data. Subspace clustering achieves this through a union of linear subspaces. However, in contemporary applications data is…

Machine Learning · Computer Science 2018-08-03 Daniel L. Pimentel-Alarcón , Usman Mahmood

We propose a method to reconstruct and cluster incomplete high-dimensional data lying in a union of low-dimensional subspaces. Exploring the sparse representation model, we jointly estimate the missing data while imposing the intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira

Problem statement: Clustering has a number of techniques that have been developed in statistics, pattern recognition, data mining, and other fields. Subspace clustering enumerates clusters of objects in all subspaces of a dataset. It tends…

Databases · Computer Science 2010-09-03 Rahmat Widia Sembiring , Jasni Mohamad Zain , Abdullah Embong

In the paper a piecewise constant image approximations of sequential number of pixel clusters or segments are treated. A majorizing of optimal approximation sequence by hierarchical sequence of image approximations is studied. Transition…

Computer Vision and Pattern Recognition · Computer Science 2014-06-03 M. Kharinov

Many computer vision systems require low-cost segmentation algorithms based on deep learning, either because of the enormous size of input images or limited computational budget. Common solutions uniformly downsample the input images to…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Chen Jin , Ryutaro Tanno , Thomy Mertzanidou , Eleftheria Panagiotaki , Daniel C. Alexander

Density based spatial clustering of points in $\mathbb{R}^n$ has a myriad of applications in a variety of industries. We generalise this problem to the density based clustering of lines in high-dimensional spaces, keeping in mind there…

Machine Learning · Computer Science 2024-10-04 Akanksha Das , Malay Bhattacharyya