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A combinatorial approach to compressive sensing based on a deterministic column replacement technique is proposed. Informally, it takes as input a pattern matrix and ingredient measurement matrices, and results in a larger measurement…

信息论 · 计算机科学 2014-03-10 Charles J. Colbourn , Daniel Horsley , Violet R. Syrotiuk

Consider the estimation of an unknown parameter vector in a linear measurement model. Centralized sensor selection consists in selecting a set of k_s sensor measurements, from a total number of m potential measurements. The performance of…

信息论 · 计算机科学 2012-08-07 Fabian Altenbach , Steven Corroy , Georg Böcherer , Rudolf Mathar

The field of compressed sensing has shown that a sparse but otherwise arbitrary vector can be recovered exactly from a small number of randomly constructed linear projections (or samples). The question addressed in this paper is whether an…

信息论 · 计算机科学 2010-01-26 Galen Reeves , Michael Gastpar

We discuss how semidefinite programming can be used to determine the second-order density matrix directly through a variational optimization. We show how the problem of characterizing a physical or N -representable density matrix leads to…

Compressive spectral imaging (CSI) has emerged as an attractive compression and sensing technique, primarily to sense spectral regions where traditional systems result in highly costly such as in the near-infrared spectrum. Recently, it has…

机器学习 · 计算机科学 2022-05-30 Jorge Bacca , Alejandra Hernandez-Rojas , Henry Arguello

Compressed sensing applied to magnetic resonance imaging (MRI) allows to reduce the scanning time by enabling images to be reconstructed from highly undersampled data. In this paper, we tackle the problem of designing a sampling mask for an…

图像与视频处理 · 电气工程与系统科学 2020-03-17 Thomas Sanchez , Baran Gözcü , Ruud B. van Heeswijk , Armin Eftekhari , Efe Ilıcak , Tolga Çukur , Volkan Cevher

Data compression capability of "Compressed sensing (sampling)" in signal discretization is numerically evaluated and found to be far from the theoretical upper bound defined by signal sparsity. It is shown that, for the cases when ordinary…

光学 · 物理学 2015-02-10 L. Yaroslavsky

The expicit restricted isometry property (RIP) measurement matrices are needed in practical application of compressed sensing in signal processing. RIP matrices from Reed-Solomon codes, BCH codes, orthogonal codes, expander graphs have been…

信息论 · 计算机科学 2015-06-15 Liqing Xu , Hao Chen

In this paper, we propose a constrained linear data-feature mapping model as an interpretable mathematical model for image classification using convolutional neural network (CNN) such as the ResNet. From this viewpoint, we establish the…

图像与视频处理 · 电气工程与系统科学 2020-07-07 Juncai He , Yuyan Chen , Lian Zhang , Jinchao Xu

The potential of compressive sensing (CS) has spurred great interest in the research community and is a fast growing area of research. However, research translating CS theory into practical hardware and demonstrating clear and significant…

计算机视觉与模式识别 · 计算机科学 2015-06-15 Leslie N. Smith

Support vector machines represent a promising development in machine learning research that is not widely used within the remote sensing community. This paper reports the results of Multispectral(Landsat-7 ETM+) and Hyperspectral DAIS)data…

神经与进化计算 · 计算机科学 2009-11-13 Mahesh Pal , Paul M. Mather

Compressive Learning is an emerging topic that combines signal acquisition via compressive sensing and machine learning to perform inference tasks directly on a small number of measurements. Many data modalities naturally have a…

计算机视觉与模式识别 · 计算机科学 2020-10-22 Dat Thanh Tran , Mehmet Yamac , Aysen Degerli , Moncef Gabbouj , Alexandros Iosifidis

Sparse matrix factorization is a popular tool to obtain interpretable data decompositions, which are also effective to perform data completion or denoising. Its applicability to large datasets has been addressed with online and randomized…

机器学习 · 统计学 2017-11-15 Arthur Mensch , Julien Mairal , Bertrand Thirion , Gaël Varoquaux

In the existing research of mammogram image classification, either clinical data or image features of a specific type is considered along with the supervised classifiers such as Neural Network (NN) and Support Vector Machine (SVM). This…

计算机视觉与模式识别 · 计算机科学 2020-09-22 S. Kavitha , K. K. Thyagharajan

Based on the maximum likelihood estimation principle, we derive a collaborative estimation framework that fuses several different estimators and yields a better estimate. Applying it to compressive sensing (CS), we propose a collaborative…

信息论 · 计算机科学 2018-04-20 Zhihui Zhu , Gang Li , Jiajun Ding , Qiuwei Li , Xiongxiong He

Deep neural networks are powerful, yet their high complexity greatly limits their potential to be deployed on billions of resource-constrained edge devices. Pruning is a crucial network compression technique, yet most existing methods focus…

计算机视觉与模式识别 · 计算机科学 2025-09-23 Qizhen Lan , Jung Im Choi , Qing Tian

Compressive sensing (CS) is a mathematically elegant tool for reducing the sampling rate, potentially bringing context-awareness to a wider range of devices. Nevertheless, practical issues with the sampling and reconstruction algorithms…

信号处理 · 电气工程与系统科学 2021-05-28 Alina L. Machidon , Veljko Pejovic

Among major deep learning (DL) applications, distributed learning involving image classification require effective image compression codecs deployed on low-cost sensing devices for efficient transmission and storage. Traditional codecs such…

图像与视频处理 · 电气工程与系统科学 2023-08-14 Siyu Qi , Lahiru D. Chamain , Zhi Ding

Compressive sensing is a novel approach that linearly samples sparse or compressible signals at a rate much below the Nyquist-Shannon sampling rate and outperforms traditional signal processing techniques in acquiring and reconstructing…

信息论 · 计算机科学 2019-01-03 Ramin Ayanzadeh , Seyedahmad Mousavi , Milton Halem , Tim Finin

Deep networks can be trained to map images into a low-dimensional latent space. In many cases, different images in a collection are articulated versions of one another; for example, same object with different lighting, background, or pose.…

计算机视觉与模式识别 · 计算机科学 2023-03-14 Rakib Hyder , M. Salman Asif