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Subspace clustering refers to the problem of clustering unlabeled high-dimensional data points into a union of low-dimensional linear subspaces, assumed unknown. In practice one may have access to dimensionality-reduced observations of the…

信息论 · 计算机科学 2014-04-29 Reinhard Heckel , Michael Tschannen , Helmut Bölcskei

Subspace clustering has become widely adopted for the unsupervised analysis of hyperspectral images (HSIs). Recent model-aware deep subspace clustering methods often use a two-stage framework, involving the calculation of a…

计算机视觉与模式识别 · 计算机科学 2025-06-16 Xianlu Li , Nicolas Nadisic , Shaoguang Huang , Nikos Deligiannis , Aleksandra Pižurica

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

State-of-the-art subspace clustering methods are based on self-expressive model, which represents each data point as a linear combination of other data points. By enforcing such representation to be sparse, sparse subspace clustering is…

机器学习 · 计算机科学 2020-05-05 Ying Chen , Chun-Guang Li , Chong You

Dimension reduction is widely regarded as an effective way for decreasing the computation, storage and communication loads of data-driven intelligent systems, leading to a growing demand for statistical methods that allow analysis (e.g.,…

计算机视觉与模式识别 · 计算机科学 2019-08-23 Guangcan Liu , Zhao Zhang , Qingshan Liu , Kongkai Xiong

Subspace sparse coding (SSC) algorithms have proven to be beneficial to clustering problems. They provide an alternative data representation in which the underlying structure of the clusters can be better captured. However, most of the…

机器学习 · 计算机科学 2019-03-14 Babak Hosseini , Barbara Hammer

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…

计算机视觉与模式识别 · 计算机科学 2018-05-23 Chun-Guang Li , Junjian Zhang , Jun Guo

A new framework of compressive sensing (CS), namely statistical compressive sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution and achieving accurate reconstruction on average, is…

计算机视觉与模式识别 · 计算机科学 2010-10-22 Guoshen Yu , Guillermo Sapiro

Clustering images according to their acquisition devices is a well-known problem in multimedia forensics, which is typically faced by means of camera Sensor Pattern Noise (SPN). Such an issue is challenging since SPN is a noise-like signal,…

计算机视觉与模式识别 · 计算机科学 2018-12-03 Quoc-Tin Phan , Giulia Boato , Francesco G. B. De Natale

Subspace clustering (SC) is a promising clustering technology to identify clusters based on their associations with subspaces in high dimensional spaces. SC can be classified into hard subspace clustering (HSC) and soft subspace clustering…

机器学习 · 计算机科学 2016-04-11 Zhaohong Deng , Kup-Sze Choi , Yizhang Jiang , Jun Wang , Shitong Wang

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…

机器学习 · 统计学 2014-03-17 Reinhard Heckel , Eirikur Agustsson , Helmut Bölcskei

Sparse Subspace Clustering (SSC) has been used extensively for subspace identification tasks due to its theoretical guarantees and relative ease of implementation. However SSC has quadratic computation and memory requirements with respect…

计算机视觉与模式识别 · 计算机科学 2017-04-14 Stephen Tierney , Yi Guo , Junbin Gao

Sparse Subspace Clustering (SSC) is a popular unsupervised machine learning method for clustering data lying close to an unknown union of low-dimensional linear subspaces; a problem with numerous applications in pattern recognition and…

机器学习 · 计算机科学 2019-07-19 Manolis C. Tsakiris , Rene Vidal

We propose Ordered Subspace Clustering (OSC) to segment data drawn from a sequentially ordered union of subspaces. Similar to Sparse Subspace Clustering (SSC) we formulate the problem as one of finding a sparse representation but include an…

计算机视觉与模式识别 · 计算机科学 2015-04-17 Stephen Tierney , Yi Guo , Junbin Gao

Clustering can be defined as the process of assembling objects into a number of groups whose elements are similar to each other in some manner. As a technique that is used in many domains, such as face clustering, plant categorization,…

机器学习 · 计算机科学 2022-04-05 Mehmet F. Demirel , Enrico Au-Yeung

Algebraic Subspace Clustering (ASC) is a simple and elegant method based on polynomial fitting and differentiation for clustering noiseless data drawn from an arbitrary union of subspaces. In practice, however, ASC is limited to…

计算机视觉与模式识别 · 计算机科学 2015-10-16 Manolis C. Tsakiris , Rene Vidal

This paper studies the subspace segmentation problem. Given a set of data points drawn from a union of subspaces, the goal is to partition them into their underlying subspaces they were drawn from. The spectral clustering method is used as…

计算机视觉与模式识别 · 计算机科学 2015-01-20 Canyi Lu , Jiashi Feng , Zhouchen Lin , Shuicheng Yan

In this work, we propose to use a local clustering approach based on the sparse solution technique to study the medical image, especially the lung cancer image classification task. We view images as the vertices in a weighted graph and the…

计算机视觉与模式识别 · 计算机科学 2025-05-22 Jackson Hamel , Ming-Jun Lai , Zhaiming Shen , Ye Tian

Snapshot compressive imaging (SCI) refers to compressive imaging systems where multiple frames are mapped into a single measurement, with video compressive imaging and hyperspectral compressive imaging as two representative applications.…

计算机视觉与模式识别 · 计算机科学 2018-10-09 Yang Liu , Xin Yuan , Jinli Suo , David J. Brady , Qionghai Dai

In this paper, we present a deep extension of Sparse Subspace Clustering, termed Deep Sparse Subspace Clustering (DSSC). Regularized by the unit sphere distribution assumption for the learned deep features, DSSC can infer a new data…

计算机视觉与模式识别 · 计算机科学 2017-09-26 Xi Peng , Jiashi Feng , Shijie Xiao , Jiwen Lu , Zhang Yi , Shuicheng Yan