A mathematical introduction to compressive sensing
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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New York [u.a.]
Springer
2013
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| Schriftenreihe: | Applied and numerical harmonic analysis
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Datensatz im Suchindex
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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.
|
| any_adam_object | 1 |
| author | Foucart, Simon 1977- Rauhut, Holger |
| author_GND | (DE-588)1041275412 |
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| author_role | aut aut |
| author_sort | Foucart, Simon 1977- |
| author_variant | s f sf h r hr |
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| bvnumber | BV041370313 |
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| ctrlnum | (OCoLC)862796696 (DE-599)BVBBV041370313 |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-0-8176-4948-7 |
| format | Electronic eBook |
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| illustrated | Illustrated |
| indexdate | 2024-11-25T17:37:10Z |
| institution | BVB |
| isbn | 9780817649470 9780817649487 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026818480 |
| oclc_num | 862796696 |
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| physical | 1 Online-Ressource (VIII, 625 S.) Ill., graph. Darst. |
| psigel | ZDB-2-SMA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series2 | Applied and numerical harmonic analysis |
| 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 |
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