Inverse problems with sparsity constraints: convergence rates and exact recovery
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin
Logos Verl.
2010
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | 125 S. graph. Darst. |
| ISBN: | 9783832524661 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV036858108 | ||
| 003 | DE-604 | ||
| 005 | 20111011 | ||
| 007 | t | ||
| 008 | 101208s2010 d||| m||| 00||| eng d | ||
| 015 | |a 10N20 |2 dnb | ||
| 016 | 7 | |a 1002361532 |2 DE-101 | |
| 020 | |a 9783832524661 |c PB. : EUR 34.50, EUR 35.50 (AT), sfr 61.40 (freier Pr.) |9 978-3-8325-2466-1 | ||
| 035 | |a (OCoLC)643539492 | ||
| 035 | |a (DE-599)DNB1002361532 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 | ||
| 082 | 0 | |a 515.357 |2 22/ger | |
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Trede, Dennis |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Inverse problems with sparsity constraints |b convergence rates and exact recovery |c von Dennis Trede |
| 264 | 1 | |a Berlin |b Logos Verl. |c 2010 | |
| 300 | |a 125 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Zugl.: Bremen, Univ., Diss., 2010 | ||
| 650 | 0 | 7 | |a Tichonov-Regularisierung |0 (DE-588)4124313-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inverses Problem |0 (DE-588)4125161-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inkorrekt gestelltes Problem |0 (DE-588)4186951-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Inverses Problem |0 (DE-588)4125161-1 |D s |
| 689 | 0 | 1 | |a Inkorrekt gestelltes Problem |0 (DE-588)4186951-5 |D s |
| 689 | 0 | 2 | |a Tichonov-Regularisierung |0 (DE-588)4124313-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=3472322&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020773932&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-020773932 | |
Record in the Search Index
| _version_ | 1805095082062249984 |
|---|---|
| adam_text |
CONTENTS ABSTRACT VII ACKNOWLEDGMENTS IX INTRODUCTION 1 1 INVERSE
PROBLEMS 7 1.1 ILL-POSED INVERSE PROBLEMS 7 1.2 CLASSICAL REGULARIZARON
METHODS 9 1.2.1 VARIATIONAL REGULARIZATION METHODS 11 1.2.2 ITERATIVE
REGULARIZATION METHODS 13 1.3 INCORPORATING SPARSITY CONSTRAINTS 16
1.3.1 TIKHONOV REGULARIZATION WITH SPARSITY CONSTRAINTS . 16 1.3.2
GREEDY ITERATION 18 1.4 CONVEX FUNCTIONALS 19 2 TIKHONOV REGULARIZATION
IN BESOV SCALES 23 2.1 INTRODUCTION 23 2.2 BESOV SPACES AND NOTATION 26
2.3 CONVERGENCE RATES IN BESOV SPACES 29 2.3.1 TIKHONOV REGULARIZATION
IN BANACH SPACES 29 2.3.2 TIKHONOV REGULARIZATION IN BESOV SPACES 30 2.4
REGULARIZATION IN BESOV SCALES 36 2.5 EXAMPLES 40 2.6 CONCLUSION 44
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1002361532 DIGITALISIERT
DURCH BIBLIOGRAPHY 115 XLL 3 TIKHONOV REGULARIZATION WITH SPARSITY
CONSTRAINTS 47 3.1 INTRODUCTION 47 3.2 THE ^-PENALIZED TIKHONOV
FUNCTIONAL 49 3.3 STABILITY AND CONVERGENCE RATES 54 3.4 BEYOND
CONVERGENCE RATES: EXACT RECOVERY 55 3.4.1 EXACT RECOVERY FOR EXACT DATA
56 3.4.2 EXACT RECOVERY IN THE PRESENCE OF NOISE 58 3.5 CONCLUSION 66 4
GREEDY SOLUTION BY MEANS OF THE ORTHOGONAL MATCHING PURSUIT 69 4.1
INTRODUCTION 69 4.2 EXACT RECOVERY FOR EXACT DATA 72 4.3 EXACT RECOVERY
IN THE PRESENCE OF NOISE 78 4.4 CONCLUSION 85 5 APPLICATION OF EXACT
RECOVERY CONDITIONS 87 5.1 INTRODUCTION 87 5.2 MASS SPECTROMETRY 88
5.2.1 INTRODUCTION 88 5.2.2 DATAMODEL 89 5.2.3 RESOLUTION BOUNDS FOR
MASS SPECTROMETRY 90 5.2.4 NUMERICAL EXAMPLES 95 5.3 DIGITAL HOLOGRAPHY
97 5.3.1 INTRODUCTION 97 5.3.2 DATAMODEL 98 5.3.3 RESOLUTION BOUNDS FOR
DIGITAL HOLOGRAPHY 99 5.3.4 NUMERICAL EXAMPLES 107 5.4 CONCLUSION 108
CONCLUSION 111 |
| any_adam_object | 1 |
| author | Trede, Dennis |
| author_facet | Trede, Dennis |
| author_role | aut |
| author_sort | Trede, Dennis |
| author_variant | d t dt |
| building | Verbundindex |
| bvnumber | BV036858108 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)643539492 (DE-599)DNB1002361532 |
| dewey-full | 515.357 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.357 |
| dewey-search | 515.357 |
| dewey-sort | 3515.357 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV036858108</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20111011</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">101208s2010 d||| m||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">10N20</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1002361532</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783832524661</subfield><subfield code="c">PB. : EUR 34.50, EUR 35.50 (AT), sfr 61.40 (freier Pr.)</subfield><subfield code="9">978-3-8325-2466-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)643539492</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1002361532</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.357</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Trede, Dennis</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Inverse problems with sparsity constraints</subfield><subfield code="b">convergence rates and exact recovery</subfield><subfield code="c">von Dennis Trede</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">Logos Verl.</subfield><subfield code="c">2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">125 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Zugl.: Bremen, Univ., Diss., 2010</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Tichonov-Regularisierung</subfield><subfield code="0">(DE-588)4124313-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inkorrekt gestelltes Problem</subfield><subfield code="0">(DE-588)4186951-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Inkorrekt gestelltes Problem</subfield><subfield code="0">(DE-588)4186951-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Tichonov-Regularisierung</subfield><subfield code="0">(DE-588)4124313-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=3472322&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020773932&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-020773932</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV036858108 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T10:53:36Z |
| institution | BVB |
| isbn | 9783832524661 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020773932 |
| oclc_num | 643539492 |
| open_access_boolean | |
| owner | DE-384 |
| owner_facet | DE-384 |
| physical | 125 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Logos Verl. |
| record_format | marc |
| spelling | Trede, Dennis Verfasser aut Inverse problems with sparsity constraints convergence rates and exact recovery von Dennis Trede Berlin Logos Verl. 2010 125 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zugl.: Bremen, Univ., Diss., 2010 Tichonov-Regularisierung (DE-588)4124313-4 gnd rswk-swf Inverses Problem (DE-588)4125161-1 gnd rswk-swf Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Inverses Problem (DE-588)4125161-1 s Inkorrekt gestelltes Problem (DE-588)4186951-5 s Tichonov-Regularisierung (DE-588)4124313-4 s DE-604 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3472322&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020773932&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Trede, Dennis Inverse problems with sparsity constraints convergence rates and exact recovery Tichonov-Regularisierung (DE-588)4124313-4 gnd Inverses Problem (DE-588)4125161-1 gnd Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd |
| subject_GND | (DE-588)4124313-4 (DE-588)4125161-1 (DE-588)4186951-5 (DE-588)4113937-9 |
| title | Inverse problems with sparsity constraints convergence rates and exact recovery |
| title_auth | Inverse problems with sparsity constraints convergence rates and exact recovery |
| title_exact_search | Inverse problems with sparsity constraints convergence rates and exact recovery |
| title_full | Inverse problems with sparsity constraints convergence rates and exact recovery von Dennis Trede |
| title_fullStr | Inverse problems with sparsity constraints convergence rates and exact recovery von Dennis Trede |
| title_full_unstemmed | Inverse problems with sparsity constraints convergence rates and exact recovery von Dennis Trede |
| title_short | Inverse problems with sparsity constraints |
| title_sort | inverse problems with sparsity constraints convergence rates and exact recovery |
| title_sub | convergence rates and exact recovery |
| topic | Tichonov-Regularisierung (DE-588)4124313-4 gnd Inverses Problem (DE-588)4125161-1 gnd Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd |
| topic_facet | Tichonov-Regularisierung Inverses Problem Inkorrekt gestelltes Problem Hochschulschrift |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3472322&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020773932&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT trededennis inverseproblemswithsparsityconstraintsconvergenceratesandexactrecovery |