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Subspace clustering assumes that the data is sepa-rable into separate subspaces. Such a simple as-sumption, does not always hold. We assume that, even if the raw data is not separable into subspac-es, one can learn a representation…

Machine Learning · Computer Science 2019-12-11 Jyoti Maggu , Angshul Majumdar , Emilie Chouzenoux

We consider the problem of clustering a set of high-dimensional data points into sets of low-dimensional linear subspaces. The number of subspaces, their dimensions, and their orientations are unknown. We propose a simple and low-complexity…

Information Theory · Computer Science 2013-03-18 Reinhard Heckel , Helmut Bölcskei

This document provides the supplementary material including a comprehensive related work, the complete proofs and extended evaluation results that support the manuscript, "Unified Characterization and Precoding for Non-Stationary Channels",…

Signal Processing · Electrical Eng. & Systems 2022-02-07 Zhibin Zou , Maqsood Careem , Aveek Dutta , Ngwe Thawdar

Subspace clustering is an unsupervised clustering technique designed to cluster data that is supported on a union of linear subspaces, with each subspace defining a cluster with dimension lower than the ambient space. Many existing…

Machine Learning · Computer Science 2021-03-23 Benjamin D. Haeffele , Chong You , René Vidal

We present a novel logic-based concept called Space Explanations for classifying neural networks that gives provable guarantees of the behavior of the network in continuous areas of the input feature space. To automatically generate space…

Machine Learning · Computer Science 2025-12-01 Faezeh Labbaf , Tomáš Kolárik , Martin Blicha , Grigory Fedyukovich , Michael Wand , Natasha Sharygina

We introduce the Neural Collaborative Subspace Clustering, a neural model that discovers clusters of data points drawn from a union of low-dimensional subspaces. In contrast to previous attempts, our model runs without the aid of spectral…

Computer Vision and Pattern Recognition · Computer Science 2019-04-25 Tong Zhang , Pan Ji , Mehrtash Harandi , Wenbing Huang , Hongdong Li

In this short note we extend some of the recent results on matrix completion under the assumption that the columns of the matrix can be grouped (clustered) into subspaces (not necessarily disjoint or independent). This model deviates from…

Information Theory · Computer Science 2017-08-04 Vaneet Aggarwal , Shuchin Aeron

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 refers to the problem of segmenting high dimensional data drawn from a union of subspaces into the respective subspaces. In some applications, partial side-information to indicate "must-link" or "cannot-link" in…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Chun-Guang Li , Junjian Zhang , Jun Guo

This is a companion draft to paper 'Software Clustering: Unifying Syntactic and Semantic Features', in proceedings of the 19th Working Conference on Reverse Engineering (WCRE 2012). It discusses the clustering process in detail, which…

Software Engineering · Computer Science 2018-06-29 Janardan Misra , Vikrant Kaulgud , Gary Titus , Annervaz KM , Shubhashis Sengupta

Discovering and clustering subspaces in high-dimensional data is a fundamental problem of machine learning with a wide range of applications in data mining, computer vision, and pattern recognition. Earlier methods divided the problem into…

Machine Learning · Statistics 2018-08-30 Maryam Jaberi , Marianna Pensky , Hassan Foroosh

Previous work in the area of tracing CLP(FD) programs mainly focuses on providing information about control of execution and domain modification. In this paper, we present a trace structure that provides information about additional…

Software Engineering · Computer Science 2007-05-23 Magnus Agren , Tamas Szeredi , Nicolas Beldiceanu , Mats Carlsson

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…

Machine Learning · Computer Science 2021-12-20 Maryam Abdolali , Nicolas Gillis

Subspace clustering has been extensively studied from the hypothesis-and-test, algebraic, and spectral clustering based perspectives. Most assume that only a single type/class of subspace is present. Generalizations to multiple types are…

Computer Vision and Pattern Recognition · Computer Science 2019-04-04 Xun Xu , Loong-Fah Cheong , Zhuwen Li

Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

Machine Learning · Statistics 2021-06-09 Hankui Peng , Nicos G. Pavlidis

Constrained clustering has been well-studied for algorithms such as $K$-means and hierarchical clustering. However, how to satisfy many constraints in these algorithmic settings has been shown to be intractable. One alternative to encode…

Machine Learning · Computer Science 2012-09-24 Xiang Wang , Buyue Qian , Ian Davidson

Nonlinear subspace clustering based on a feed-forward neural network has been demonstrated to provide better clustering accuracy than some advanced subspace clustering algorithms. While this approach demonstrates impressive outcomes, it…

Machine Learning · Computer Science 2024-08-28 Long Shi , Lei Cao , Zhongpu Chen , Badong Chen , Yu Zhao

Sentence embedding methods offer a powerful approach for working with short textual constructs or sequences of words. By representing sentences as dense numerical vectors, many natural language processing (NLP) applications have improved…

Computation and Language · Computer Science 2021-10-05 Yuan An , Alexander Kalinowski , Jane Greenberg

A keyword search on constrained clustering on Web-of-Science returned just under 3,000 documents. We ran automatic analyses of those, and compiled our own bibliography of 183 papers which we analysed in more detail based on their topic and…

Machine Learning · Computer Science 2022-09-23 Ludmila Kuncheva , Francis Williams , Samuel Hennessey

This paper (cmp-lg/yymmnnn) has been accepted for publication in the student session of EACL-95. It outlines ongoing work using statistical and unsupervised neural network methods for clustering words in untagged corpora. Such approaches…

cmp-lg · Computer Science 2008-02-03 Christopher C. Huckle
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