Holdings: A mathematical introduction to compressive sensing

A mathematical introduction to compressive sensing:

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Bibliographic Details
Main Authors:	Foucart, Simon 1977- (Author), Rauhut, Holger (Author)
Format:	Electronic eBook
Language:	English
Published:	New York [u.a.] Springer 2013
Series:	Applied and numerical harmonic analysis
Subjects:	Datenkompression Mathematik
Online Access:	DE-634 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract
Item Description:	Literaturverz.: S. 593 - 615
Physical Description:	1 Online-Ressource (VIII, 625 S.) Ill., graph. Darst.
ISBN:	9780817649470 9780817649487
DOI:	10.1007/978-0-8176-4948-7

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MARC


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adam_text	A MATHEMATICAL INTRODUCTION TO COMPRESSIVE SENSING / FOUCART, SIMON : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS 1 AN INVITATION TO COMPRESSIVE SENSING 2 SPARSE SOLUTIONS OF UNDERDETERMINED SYSTEMS 3 BASIC ALGORITHMS 4 BASIS PURSUIT 5 COHERENCE 6 RESTRICTED ISOMETRY PROPERTY 7 BASIC TOOLS FROM PROBABILITY THEORY 8 ADVANCED TOOLS FROM PROBABILITY THEORY 9 SPARSE RECOVERY WITH RANDOM MATRICES 10 GELFAND WIDTHS OF L1-BALLS 11 INSTANCE OPTIMALITY AND QUOTIENT PROPERTY 12 RANDOM SAMPLING IN BOUNDED ORTHONORMAL SYSTEMS 13 LOSSLESS EXPANDERS IN COMPRESSIVE SENSING 14 RECOVERY OF RANDOM SIGNALS USING DETERMINISTIC MATRICES 15 ALGORITHMS FOR L1-MINIMIZATION APPENDIX A MATRIX ANALYSIS APPENDIX B CONVEX ANALYSIS APPENDIX C MISCELLANEA LIST OF SYMBOLS REFERENCES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. A MATHEMATICAL INTRODUCTION TO COMPRESSIVE SENSING / FOUCART, SIMON : 2013 ABSTRACT / INHALTSTEXT 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. KEY FEATURES INCLUDE: THE FIRST TEXTBOOK COMPLETELY DEVOTED TO THE TOPIC OF COMPRESSIVE SENSING COMPREHENSIVE TREATMENT OF THE SUBJECT, INCLUDING BACKGROUND MATERIAL FROM PROBABILITY THEORY, DETAILED PROOFS OF THE MAIN THEOREMS, AND AN OUTLINE OF POSSIBLE APPLICATIONS NUMEROUS EXERCISES DESIGNED TO HELP STUDENTS UNDERSTAND THE MATERIAL AN EXTENSIVE BIBLIOGRAPHY WITH OVER 500 REFERENCES THAT GUIDE RESEARCHERS THROUGH THE LITERATURE WITH ONLY MODERATE PREREQUISITES, A MATHEMATICAL INTRODUCTION TO COMPRESSIVE SENSING 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Foucart, Simon 1977- Rauhut, Holger
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spelling	Foucart, Simon 1977- Verfasser (DE-588)1041275412 aut A mathematical introduction to compressive sensing Simon Foucart ; Holger Rauhut New York [u.a.] Springer 2013 1 Online-Ressource (VIII, 625 S.) Ill., graph. Darst. txt rdacontent c rdamedia cr rdacarrier Applied and numerical harmonic analysis Literaturverz.: S. 593 - 615 Datenkompression (DE-588)4121121-2 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Datenkompression (DE-588)4121121-2 s Mathematik (DE-588)4037944-9 s 1\p DE-604 Rauhut, Holger Verfasser aut https://doi.org/10.1007/978-0-8176-4948-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026818480&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026818480&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Foucart, Simon 1977- Rauhut, Holger A mathematical introduction to compressive sensing Datenkompression (DE-588)4121121-2 gnd Mathematik (DE-588)4037944-9 gnd
subject_GND	(DE-588)4121121-2 (DE-588)4037944-9
title	A mathematical introduction to compressive sensing
title_auth	A mathematical introduction to compressive sensing
title_exact_search	A mathematical introduction to compressive sensing
title_full	A mathematical introduction to compressive sensing Simon Foucart ; Holger Rauhut
title_fullStr	A mathematical introduction to compressive sensing Simon Foucart ; Holger Rauhut
title_full_unstemmed	A mathematical introduction to compressive sensing Simon Foucart ; Holger Rauhut
title_short	A mathematical introduction to compressive sensing
title_sort	a mathematical introduction to compressive sensing
topic	Datenkompression (DE-588)4121121-2 gnd Mathematik (DE-588)4037944-9 gnd
topic_facet	Datenkompression Mathematik
url	https://doi.org/10.1007/978-0-8176-4948-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026818480&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026818480&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT foucartsimon amathematicalintroductiontocompressivesensing AT rauhutholger amathematicalintroductiontocompressivesensing

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