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Modern scientific instruments produce vast amounts of data, which can overwhelm the processing ability of computer systems. Lossy compression of data is an intriguing solution, but comes with its own drawbacks, such as potential signal…

We solve the compressive sensing problem via convolutional factor analysis, where the convolutional dictionaries are learned {\em in situ} from the compressed measurements. An alternating direction method of multipliers (ADMM) paradigm for…

机器学习 · 统计学 2017-01-12 Xin Yuan , Yunchen Pu , Lawrence Carin

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

Deep learning has been used to image compressive sensing (CS) for enhanced reconstruction performance. However, most existing deep learning methods train different models for different subsampling ratios, which brings additional hardware…

计算机视觉与模式识别 · 计算机科学 2021-01-25 Zhonghao Zhang , Yipeng Liu , Xingyu Cao , Fei Wen , Ce Zhu

Detection with high dimensional multimodal data is a challenging problem when there are complex inter- and intra- modal dependencies. While several approaches have been proposed for dependent data fusion (e.g., based on copula theory),…

应用统计 · 统计学 2018-02-14 Thakshila Wimalajeewa , Pramod K. Varshney

A simple approach for orthogonal wavelets in compressed sensing (CS) applications is presented. We compare efficient algorithm for different orthogonal wavelet measurement matrices in CS for image processing from scanned photographic plates…

计算机视觉与模式识别 · 计算机科学 2021-08-20 Vasil Kolev

This article extends the concept of compressed sensing to signals that are not sparse in an orthonormal basis but rather in a redundant dictionary. It is shown that a matrix, which is a composition of a random matrix of certain type and a…

概率论 · 数学 2010-11-10 Holger Rauhut , Karin Schnass , Pierre Vandergheynst

Compressed sensing is a signal processing technique whereby the limits imposed by the Shannon--Nyquist theorem can be exceeded provided certain conditions are imposed on the signal. Such conditions occur in many real-world scenarios, and…

信息论 · 计算机科学 2018-02-16 Fintan Hegarty , Padraig Ó Catháin , Yunbin Zhao

We introduce a general framework to deterministically construct binary measurement matrices for compressed sensing. The proposed matrices are composed of (circulant) permutation submatrix blocks and zero submatrix blocks, thus making their…

信息论 · 计算机科学 2014-09-26 Xin-Ji Liu , Shu-Tao Xia , Tao Dai

This paper deals with the design of a sensing matrix along with a sparse recovery algorithm by utilizing the probability-based prior information for compressed sensing system. With the knowledge of the probability for each atom of the…

机器学习 · 计算机科学 2019-10-29 Q. Jiang , S. Li , Z. Zhu , H. Bai , X. He , R. C. de Lamare

Compressed sensing (CS) enables people to acquire the compressed measurements directly and recover sparse or compressible signals faithfully even when the sampling rate is much lower than the Nyquist rate. However, the pure random sensing…

信息论 · 计算机科学 2016-11-24 Kezhi Li , Shuang Cong

Compressed Sensing algorithms often make use of the hard thresholding operator to pass from dense vectors to their best s-sparse approximations. However, the output of the hard thresholding operator does not depend on any information from a…

数值分析 · 数学 2020-10-15 Jonathan Ashbrock

Camera sensors have been widely used in intelligent robotic systems. Developing camera sensors with high sensing efficiency has always been important to reduce the power, memory, and other related resources. Inspired by recent success on…

图像与视频处理 · 电气工程与系统科学 2023-10-11 Bowen Zhang , Zhijin Qin , Geoffrey Ye Li

Wide spectrum denoising (WSD) for superresolution microscopy imaging using compressed sensing and a high-resolution camera

图像与视频处理 · 电气工程与系统科学 2020-12-30 Tao Cheng , Danni Chen , Heng Li

A novel framework of compressed sensing, namely statistical compressed 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 2015-05-27 Guoshen Yu , Guillermo Sapiro

Existing works based on latent factor models have focused on representing the rating matrix as a product of user and item latent factor matrices, both being dense. Latent (factor) vectors define the degree to which a trait is possessed by…

信息检索 · 计算机科学 2015-05-08 Anupriya Gogna , Angshul Majumdar

In Compressed Sensing the matrices that satisfy the Restricted Isometry Property (RIP) play an important role. But to date, very few results for designing such matrices are available. For applications such as multiplier-less data…

最优化与控制 · 数学 2016-03-29 R. Ramu Naidu , C. S. Sastry , Phanindra Jampana

We demonstrate a wavefront sensor based on the compressive sensing, single-pixel camera. Using a high-resolution spatial light modulator (SLM) as a variable waveplate, we weakly couple an optical field's transverse-position and polarization…

光学 · 物理学 2014-07-30 Gregory A. Howland , Daniel J. Lum , John C. Howell

We propose a framework for compressive sensing of images with local distinguishable objects, such as stars, and apply it to solve a problem in celestial navigation. Specifically, let x be an N-pixel real-valued image, consisting of a small…

计算几何 · 计算机科学 2012-08-14 Rishi Gupta , Piotr Indyk , Eric Price , Yaron Rachlin

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

信号处理 · 电气工程与系统科学 2021-10-15 Michael Koller , Wolfgang Utschick