A Mathematical Introduction to Compressive Sensing

A Mathematical Introduction to Compressive Sensing
Author: Simon Foucart
Publisher: Springer Science & Business Media
Total Pages: 634
Release: 2013-08-13
Genre: Computers
ISBN: 0817649484

At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, an explosion of research activity has already followed the theoretical results that highlighted the efficiency of the basic principles. The elegant ideas behind these principles are also of independent interest to pure mathematicians. A Mathematical Introduction to Compressive Sensing gives a detailed account of the core theory upon which the field is build. With only moderate prerequisites, it is an excellent textbook for graduate courses in mathematics, engineering, and computer science. It also serves as a reliable resource for practitioners and researchers in these disciplines who want to acquire a careful understanding of the subject. A Mathematical Introduction to Compressive Sensing uses a mathematical perspective to present the core of the theory underlying compressive sensing.

Compressed Sensing in Information Processing

Compressed Sensing in Information Processing
Author: Gitta Kutyniok
Publisher: Springer Nature
Total Pages: 549
Release: 2022-10-20
Genre: Mathematics
ISBN: 3031097459

This contributed volume showcases the most significant results obtained from the DFG Priority Program on Compressed Sensing in Information Processing. Topics considered revolve around timely aspects of compressed sensing with a special focus on applications, including compressed sensing-like approaches to deep learning; bilinear compressed sensing - efficiency, structure, and robustness; structured compressive sensing via neural network learning; compressed sensing for massive MIMO; and security of future communication and compressive sensing.

Compressed Sensing in Radar Signal Processing

Compressed Sensing in Radar Signal Processing
Author: Antonio De Maio
Publisher: Cambridge University Press
Total Pages: 381
Release: 2019-10-17
Genre: Technology & Engineering
ISBN: 110857694X

Learn about the most recent theoretical and practical advances in radar signal processing using tools and techniques from compressive sensing. Providing a broad perspective that fully demonstrates the impact of these tools, the accessible and tutorial-like chapters cover topics such as clutter rejection, CFAR detection, adaptive beamforming, random arrays for radar, space-time adaptive processing, and MIMO radar. Each chapter includes coverage of theoretical principles, a detailed review of current knowledge, and discussion of key applications, and also highlights the potential benefits of using compressed sensing algorithms. A unified notation and numerous cross-references between chapters make it easy to explore different topics side by side. Written by leading experts from both academia and industry, this is the ideal text for researchers, graduate students and industry professionals working in signal processing and radar.

Compressed Sensing & Sparse Filtering

Compressed Sensing & Sparse Filtering
Author: Avishy Y. Carmi
Publisher: Springer Science & Business Media
Total Pages: 505
Release: 2013-09-13
Genre: Technology & Engineering
ISBN: 364238398X

This book is aimed at presenting concepts, methods and algorithms ableto cope with undersampled and limited data. One such trend that recently gained popularity and to some extent revolutionised signal processing is compressed sensing. Compressed sensing builds upon the observation that many signals in nature are nearly sparse (or compressible, as they are normally referred to) in some domain, and consequently they can be reconstructed to within high accuracy from far fewer observations than traditionally held to be necessary. Apart from compressed sensing this book contains other related approaches. Each methodology has its own formalities for dealing with such problems. As an example, in the Bayesian approach, sparseness promoting priors such as Laplace and Cauchy are normally used for penalising improbable model variables, thus promoting low complexity solutions. Compressed sensing techniques and homotopy-type solutions, such as the LASSO, utilise l1-norm penalties for obtaining sparse solutions using fewer observations than conventionally needed. The book emphasizes on the role of sparsity as a machinery for promoting low complexity representations and likewise its connections to variable selection and dimensionality reduction in various engineering problems. This book is intended for researchers, academics and practitioners with interest in various aspects and applications of sparse signal processing.

Compressive Imaging: Structure, Sampling, Learning

Compressive Imaging: Structure, Sampling, Learning
Author: Ben Adcock
Publisher: Cambridge University Press
Total Pages: 620
Release: 2021-09-16
Genre: Computers
ISBN: 1108383912

Accurate, robust and fast image reconstruction is a critical task in many scientific, industrial and medical applications. Over the last decade, image reconstruction has been revolutionized by the rise of compressive imaging. It has fundamentally changed the way modern image reconstruction is performed. This in-depth treatment of the subject commences with a practical introduction to compressive imaging, supplemented with examples and downloadable code, intended for readers without extensive background in the subject. Next, it introduces core topics in compressive imaging – including compressed sensing, wavelets and optimization – in a concise yet rigorous way, before providing a detailed treatment of the mathematics of compressive imaging. The final part is devoted to recent trends in compressive imaging: deep learning and neural networks. With an eye to the next decade of imaging research, and using both empirical and mathematical insights, it examines the potential benefits and the pitfalls of these latest approaches.

Compressed Sensing

Compressed Sensing
Author: Jonathon M. Sheppard
Publisher:
Total Pages: 0
Release: 2018
Genre: Compressed sensing (Telecommunication)
ISBN: 9781536130829

In this compilation, the authors comprehensively investigate SOD effects in the homeostasis of mammal endometrium, using available information on several species and their team experience relating to the topic. In addition, they address its role in endometrial integrity and some uterine clinical conditions and infertility. The current knowledge of plant SODs, their abiotic-stress modulated expression and activity, and analyses results on genetic engineering of plant SODs are summarized. Significance of superoxide dismutases in the crop improvement for stress tolerance is also discussed. This book reviews the oxidative stress and damage to plants, while also summarizing the characteristics of SOD enzymes and discussing their involvement in the tolerance of plants against abiotic stress. Additionally, many authors have studied the protective role of SOD in the mice cochlea, however more recently the role of SOD gene polymorphisms in the susceptibility of sudden sensorineural hearing loss has been investigated. Therefore, the authors also examine the role of SOD in the cochlea and its involvement in the pathogenesis of noise induced hearing loss, age related hearing loss and sudden sensorineural hearing loss.

Machine Learning for Big Data Analysis

Machine Learning for Big Data Analysis
Author: Siddhartha Bhattacharyya
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 246
Release: 2018-12-17
Genre: Computers
ISBN: 3110550776

This volume comprises six well-versed contributed chapters devoted to report the latest fi ndings on the applications of machine learning for big data analytics. Big data is a term for data sets that are so large or complex that traditional data processing application software is inadequate to deal with them. The possible challenges in this direction include capture, storage, analysis, data curation, search, sharing, transfer, visualization, querying, updating and information privacy. Big data analytics is the process of examining large and varied data sets - i.e., big data - to uncover hidden patterns, unknown correlations, market trends, customer preferences and other useful information that can help organizations make more-informed business decisions. This volume is intended to be used as a reference by undergraduate and post graduate students of the disciplines of computer science, electronics and telecommunication, information science and electrical engineering. THE SERIES: FRONTIERS IN COMPUTATIONAL INTELLIGENCE The series Frontiers In Computational Intelligence is envisioned to provide comprehensive coverage and understanding of cutting edge research in computational intelligence. It intends to augment the scholarly discourse on all topics relating to the advances in artifi cial life and machine learning in the form of metaheuristics, approximate reasoning, and robotics. Latest research fi ndings are coupled with applications to varied domains of engineering and computer sciences. This field is steadily growing especially with the advent of novel machine learning algorithms being applied to different domains of engineering and technology. The series brings together leading researchers that intend to continue to advance the fi eld and create a broad knowledge about the most recent research.