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In this paper we consider the problem of group invariant subspace clustering where the data is assumed to come from a union of group-invariant subspaces of a vector space, i.e. subspaces which are invariant with respect to action of a given…

信息论 · 计算机科学 2015-10-16 Shuchin Aeron , Eric Kernfeld

Sparsity-based subspace clustering algorithms have attracted significant attention thanks to their excellent performance in practical applications. A prominent example is the sparse subspace clustering (SSC) algorithm by Elhamifar and…

机器学习 · 计算机科学 2018-06-11 Michael Tschannen , Helmut Bölcskei

The problem of clustering noisy and incompletely observed high-dimensional data points into a union of low-dimensional subspaces and a set of outliers is considered. The number of subspaces, their dimensions, and their orientations are…

机器学习 · 统计学 2015-08-24 Reinhard Heckel , Helmut Bölcskei

An algorithm based on compressive sensing (CS) is proposed for synthetic aperture radar (SAR) imaging of moving targets. The received SAR echo is decomposed into the sum of basis sub-signals, which are generated by discretizing the target…

信息论 · 计算机科学 2011-04-07 Jun Wang , Gang Li , Hao Zhang , Xiqin Wang

Hyperspectral images (HSI) clustering is an important but challenging task. The state-of-the-art (SOTA) methods usually rely on superpixels, however, they do not fully utilize the spatial and spectral information in HSI 3-D structure, and…

计算机视觉与模式识别 · 计算机科学 2025-09-23 Jianhan Qi , Yuheng Jia , Hui Liu , Junhui Hou

Convolutional Sparse Coding (CSC) is a well-established image representation model especially suited for image restoration tasks. In this work, we extend the applicability of this model by proposing a supervised approach to convolutional…

计算机视觉与模式识别 · 计算机科学 2018-04-10 Lama Affara , Bernard Ghanem , Peter Wonka

We demonstrate that sub-wavelength optical images borne on partially-spatially-incoherent light can be recovered, from their far-field or from the blurred image, given the prior knowledge that the image is sparse, and only that. The…

信息论 · 计算机科学 2015-05-27 Yoav Shechtman , Yonina C. Eldar , Alexander Szameit , Mordechai Segev

We propose an efficient approach to semidefinite spectral clustering (SSC), which addresses the Frobenius normalization with the positive semidefinite (p.s.d.) constraint for spectral clustering. Compared with the original Frobenius norm…

机器学习 · 计算机科学 2014-02-25 Yan Yan , Chunhua Shen , Hanzi Wang

The main contribution of the paper is a new approach to subspace clustering that is significantly more computationally efficient and scalable than existing state-of-the-art methods. The central idea is to modify the regression technique in…

机器学习 · 统计学 2018-07-11 Urvashi Oswal , Robert Nowak

Spectral clustering is a novel clustering method which can detect complex shapes of data clusters. However, it requires the eigen decomposition of the graph Laplacian matrix, which is proportion to $O(n^3)$ and thus is not suitable for…

机器学习 · 计算机科学 2013-07-02 Nguyen Lu Dang Khoa , Sanjay Chawla

A compressive sensing based circular polarization snapshot spectral imaging system is proposed in this paper to acquire two-dimensional spatial, one-dimensional circular polarization (the right and left circular polarization), and…

光学 · 物理学 2021-04-07 Jianglan Ning , Zhilong Xu , Dan Wu , Rui Zhang , Yuanyuan Wang , Yingge Xie , Wei Zhao , Xu Ma , Wenyi Ren

We present a novel approach to implement compressive sensing in laser scanning microscopes (LSM), specifically in image scanning microscopy (ISM), using a single-photon avalanche diode (SPAD) array detector. Our method addresses two…

图像与视频处理 · 电气工程与系统科学 2023-07-20 Ajay Gunalan , Marco Castello , Simonluca Piazza , Shunlei Li , Alberto Diaspro , Leonardo S. Mattos , Paolo Bianchini

We consider the problem of segmenting an image into superpixels in the context of $k$-means clustering, in which we wish to decompose an image into local, homogeneous regions corresponding to the underlying objects. Our novel approach…

计算机视觉与模式识别 · 计算机科学 2021-04-05 Jianchao Zhang , Angelica I. Aviles-Rivero , Daniel Heydecker , Xiaosheng Zhuang , Raymond Chan , Carola-Bibiane Schönlieb

Compressive sensing (CS) is a new methodology to capture signals at lower rate than the Nyquist sampling rate when the signals are sparse or sparse in some domain. The performance of CS estimators is analyzed in this paper using tools from…

信息论 · 计算机科学 2014-09-09 Solomon A. Tesfamicael , Bruhtesfa E. Godana , Faraz Barzideh

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…

计算机视觉与模式识别 · 计算机科学 2023-01-05 Yuheng Jia , Guanxing Lu , Hui Liu , Junhui Hou

Sparse coding (SC) is attracting more and more attention due to its comprehensive theoretical studies and its excellent performance in many signal processing applications. However, most existing sparse coding algorithms are nonconvex and…

机器学习 · 计算机科学 2017-09-12 Xiaodong Feng , Zhiwei Tang , Sen Wu

This paper presents an adaptive and intelligent sparse model for digital image sampling and recovery. In the proposed sampler, we adaptively determine the number of required samples for retrieving image based on space-frequency-gradient…

计算机视觉与模式识别 · 计算机科学 2017-11-27 Ali Taimori , Farokh Marvasti

Packet Compressed Sensing Imaging (PCSI) is digital unconnected image transmission method resilient to packet loss. The goal is to develop a robust image transmission method that is computationally trivial to transmit (e.g., compatible with…

图像与视频处理 · 电气工程与系统科学 2020-09-25 Scott Howard , Grant Barthelmes , Cara Ravasio , Lisa Huang , Benjamin Poag , Varun Mannam

Wide-field optical imaging surveys are efficient at identifying galaxy clusters, but optically identified clusters suffer from projection effects--physically unassociated galaxies along the line of sight can be misidentified as cluster…

宇宙学与河外天体物理 · 物理学 2026-04-02 Lei Yang , Hao-Yi Wu , Tesla Jeltema , Chun-Hao To , Ross Cawthon , Shulei Cao

We consider the problem of clustering noisy high-dimensional data points into a union of low-dimensional subspaces and a set of outliers. The number of subspaces, their dimensions, and their orientations are unknown. A probabilistic…

信息论 · 计算机科学 2013-07-19 Reinhard Heckel , Helmut Bölcskei