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Compressive sensing (CS) combines data acquisition with compression coding to reduce the number of measurements required to reconstruct a sparse signal. In optics, this usually takes the form of projecting the field onto sequences of random…

信息论 · 计算机科学 2018-10-24 Davood Mardani , H. Esat Kondakci , Lane Martin , Ayman F. Abouraddy , George K. Atia

Capturing high-dimensional (HD) data is a long-term challenge in signal processing and related fields. Snapshot compressive imaging (SCI) uses a two-dimensional (2D) detector to capture HD ($\ge3$D) data in a {\em snapshot} measurement. Via…

图像与视频处理 · 电气工程与系统科学 2021-03-10 Xin Yuan , David J. Brady , Aggelos K. Katsaggelos

Compressive Sensing (CS) theory asserts that sparse signal reconstruction is possible from a small number of linear measurements. Although CS enables low-cost linear sampling, it requires non-linear and costly reconstruction. Recent…

机器学习 · 计算机科学 2018-10-16 Aysen Degerli , Sinem Aslan , Mehmet Yamac , Bulent Sankur , Moncef Gabbouj

Compressed Sensing (CS) is an effective approach to reduce the required number of samples for reconstructing a sparse signal in an a priori basis, but may suffer severely from the issue of basis mismatch. In this paper we study the problem…

信息论 · 计算机科学 2014-02-04 Yuejie Chi

Sparse subspace clustering (SSC) clusters $n$ points that lie near a union of low-dimensional subspaces. The SSC model expresses each point as a linear or affine combination of the other points, using either $\ell_1$ or $\ell_0$…

计算机视觉与模式识别 · 计算机科学 2024-07-08 Farhad Pourkamali-Anaraki , James Folberth , Stephen Becker

Sparse coding (SC) is an unsupervised learning scheme that has received an increasing amount of interests in recent years. However, conventional SC vectorizes the input images, which destructs the intrinsic spatial structures of the images.…

计算机视觉与模式识别 · 计算机科学 2017-03-29 Fei Jiang , Xiao-Yang Liu , Hongtao Lu , Ruimin Shen

Compressive sensing (CS) reconstructs images from sub-Nyquist measurements by solving a sparsity-regularized inverse problem. Traditional CS solvers use iterative optimizers with hand crafted sparsifiers, while early data-driven methods…

We present a computationally-efficient method for recovering sparse signals from a series of noisy observations, known as the problem of compressed sensing (CS). CS theory requires solving a convex constrained minimization problem. We…

信息论 · 计算机科学 2010-06-22 Avishy Carmi , Pini Gurfil

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…

信息论 · 计算机科学 2019-07-18 Jwo-Yuh Wu , Liang-Chi Huang , Ming-Hsun Yang , Chun-Hung Liu

Sparse coding (SC) is an automatic feature extraction and selection technique that is widely used in unsupervised learning. However, conventional SC vectorizes the input images, which breaks apart the local proximity of pixels and destructs…

计算机视觉与模式识别 · 计算机科学 2017-03-29 Fei Jiang , Xiao-Yang Liu , Hongtao Lu , Ruimin Shen

In this paper, we develop a method for unsupervised clustering of two-way (matrix) data by combining two recent innovations from different fields: the Sparse Subspace Clustering (SSC) algorithm [10], which groups points coming from a union…

机器学习 · 计算机科学 2015-02-24 Eric Kernfeld , Shuchin Aeron , Misha Kilmer

Sparse coding aims to model data vectors as sparse linear combinations of basis elements, but a majority of related studies are restricted to continuous data without spatial or temporal structure. A new model-based sparse coding (MSC)…

统计方法学 · 统计学 2021-08-24 Xin Xing , Rui Xie , Wenxuan Zhong

Convex clustering, a convex relaxation of k-means clustering and hierarchical clustering, has drawn recent attentions since it nicely addresses the instability issue of traditional nonconvex clustering methods. Although its computational…

统计方法学 · 统计学 2019-01-01 Binhuan Wang , Yilong Zhang , Will Wei Sun , Yixin Fang

The paper introduces a framework for the recoverability analysis in compressive sensing for imaging applications such as CI cameras, rapid MRI and coded apertures. This is done using the fact that the Spherical Section Property (SSP) of a…

信息论 · 计算机科学 2012-12-07 Mahdi S. Hosseini , Konstantinos N. Plataniotis

Compressed Sensing (CS) is an appealing framework for applications such as Magnetic Resonance Imaging (MRI). However, up-to-date, the sensing schemes suggested by CS theories are made of random isolated measurements, which are usually…

信息论 · 计算机科学 2016-06-14 Claire Boyer , Jérémie Bigot , Pierre Weiss

The ability of snapshot compressive imaging (SCI) systems to efficiently capture high-dimensional (HD) data depends on the advent of novel optical designs to sample the HD data as two-dimensional (2D) compressed measurements. Nonetheless,…

图像与视频处理 · 电气工程与系统科学 2024-01-03 Yaping Zhao , Edmund Y. Lam

Image clustering is an important and open-challenging task in computer vision. Although many methods have been proposed to solve the image clustering task, they only explore images and uncover clusters according to the image features, thus…

计算机视觉与模式识别 · 计算机科学 2023-04-11 Shaotian Cai , Liping Qiu , Xiaojun Chen , Qin Zhang , Longteng Chen

Snapshot compressive imaging (SCI) surges as a novel way of capturing hyperspectral images. It operates an optical encoder to compress the 3D data into a 2D measurement and adopts a software decoder for the signal reconstruction. Recently,…

图像与视频处理 · 电气工程与系统科学 2025-03-21 Jiamian Wang , Kunpeng Li , Yulun Zhang , Xin Yuan , Zhiqiang Tao

Sparsity-based approaches have been popular in many applications in image processing and imaging. Compressed sensing exploits the sparsity of images in a transform domain or dictionary to improve image recovery from undersampled…

机器学习 · 统计学 2019-06-14 Saiprasad Ravishankar , Brian E. Moore , Raj Rao Nadakuditi , Jeffrey A. Fessler

In supervised deep learning, learning good representations for remote--sensing images (RSI) relies on manual annotations. However, in the area of remote sensing, it is hard to obtain huge amounts of labeled data. Recently, self--supervised…

机器学习 · 计算机科学 2022-09-27 Qinglin Li , Bin Li , Jonathan M Garibaldi , Guoping Qiu