{"id":"https://openalex.org/W2092225915","doi":"https://doi.org/10.1007/s00180-013-0446-1","title":"Sparse matrices in frame theory","display_name":"Sparse matrices in frame theory","publication_year":2013,"publication_date":"2013-08-12","ids":{"openalex":"https://openalex.org/W2092225915","doi":"https://doi.org/10.1007/s00180-013-0446-1","mag":"2092225915"},"language":"en","primary_location":{"id":"doi:10.1007/s00180-013-0446-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00180-013-0446-1","pdf_url":null,"source":{"id":"https://openalex.org/S8500805","display_name":"Computational Statistics","issn_l":"0943-4062","issn":["0943-4062","1613-9658"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Statistics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://orbit.dtu.dk/en/publications/b23d0164-046b-43f7-9689-ac2c2e258d9e","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090264479","display_name":"Felix Krahmer","orcid":null},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Felix Krahmer","raw_affiliation_strings":["Institut f\u00fcr Numerische und Angewandte Mathematik, Universit\u00e4t G\u00f6ttingen, 37083\u00a0, G\u00f6ttingen, Germany","Institut f\u00fcr Numerische und Angewandte Mathematik, Universit\u00e4t G\u00f6ttingen, G\u00f6ttingen, Germany 37083#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische und Angewandte Mathematik, Universit\u00e4t G\u00f6ttingen, 37083\u00a0, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]},{"raw_affiliation_string":"Institut f\u00fcr Numerische und Angewandte Mathematik, Universit\u00e4t G\u00f6ttingen, G\u00f6ttingen, Germany 37083#TAB#","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090767423","display_name":"Gitta Kutyniok","orcid":"https://orcid.org/0000-0001-9738-2487"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gitta Kutyniok","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, 10623\u00a0, Berlin, Germany","Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Berlin, Germany 10623#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, 10623\u00a0, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Berlin, Germany 10623#TAB#","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029621633","display_name":"Jakob Lemvig","orcid":"https://orcid.org/0000-0002-9338-7755"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Jakob Lemvig","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark, 2800\u00a0, Kgs. Lyngby, Denmark","Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kgs. Lyngby, Denmark 2800#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, 2800\u00a0, Kgs. Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kgs. Lyngby, Denmark 2800#TAB#","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090264479"],"corresponding_institution_ids":["https://openalex.org/I74656192"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":0.3536,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64975171,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"29","issue":"3-4","first_page":"547","last_page":"568"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.7096436023712158},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6667858362197876},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5049787163734436},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5011346340179443},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4948715567588806},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4854924976825714},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.47875991463661194},{"id":"https://openalex.org/keywords/canonical-correlation","display_name":"Canonical correlation","score":0.46562880277633667},{"id":"https://openalex.org/keywords/relational-frame-theory","display_name":"Relational frame theory","score":0.45547959208488464},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.41097280383110046},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3771247863769531},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3149188160896301},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1707979142665863}],"concepts":[{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.7096436023712158},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6667858362197876},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5049787163734436},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5011346340179443},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4948715567588806},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4854924976825714},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.47875991463661194},{"id":"https://openalex.org/C153874254","wikidata":"https://www.wikidata.org/wiki/Q115542","display_name":"Canonical correlation","level":2,"score":0.46562880277633667},{"id":"https://openalex.org/C49815771","wikidata":"https://www.wikidata.org/wiki/Q854502","display_name":"Relational frame theory","level":2,"score":0.45547959208488464},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.41097280383110046},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3771247863769531},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3149188160896301},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1707979142665863},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00180-013-0446-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00180-013-0446-1","pdf_url":null,"source":{"id":"https://openalex.org/S8500805","display_name":"Computational Statistics","issn_l":"0943-4062","issn":["0943-4062","1613-9658"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Statistics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:compst:v:29:y:2014:i:3:p:547-568","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00180-013-0446-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/b23d0164-046b-43f7-9689-ac2c2e258d9e","is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/b23d0164-046b-43f7-9689-ac2c2e258d9e","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lemvig , J , Krahmer , F & Kutyniok , G 2014 , ' Sparse Matrices in Frame Theory ' , Computational Statistics , vol. 29 , no. 3-4 , pp. 547-568 . https://doi.org/10.1007/s00180-013-0446-1","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/b23d0164-046b-43f7-9689-ac2c2e258d9e","is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/b23d0164-046b-43f7-9689-ac2c2e258d9e","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lemvig , J , Krahmer , F & Kutyniok , G 2014 , ' Sparse Matrices in Frame Theory ' , Computational Statistics , vol. 29 , no. 3-4 , pp. 547-568 . https://doi.org/10.1007/s00180-013-0446-1","raw_type":"article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W233389502","https://openalex.org/W340244495","https://openalex.org/W627440691","https://openalex.org/W634207668","https://openalex.org/W1605417594","https://openalex.org/W1978920825","https://openalex.org/W2000677486","https://openalex.org/W2005791426","https://openalex.org/W2011869890","https://openalex.org/W2017919694","https://openalex.org/W2022267471","https://openalex.org/W2049035698","https://openalex.org/W2050507755","https://openalex.org/W2053877656","https://openalex.org/W2057185117","https://openalex.org/W2069776505","https://openalex.org/W2072704718","https://openalex.org/W2087377426","https://openalex.org/W2131705730","https://openalex.org/W2143837665","https://openalex.org/W2152214775","https://openalex.org/W2164452299","https://openalex.org/W2168800946","https://openalex.org/W2196956961","https://openalex.org/W2238615873","https://openalex.org/W2275547439","https://openalex.org/W2296616510","https://openalex.org/W2324336447","https://openalex.org/W2962786165","https://openalex.org/W2963230885","https://openalex.org/W3037624980","https://openalex.org/W3196975594","https://openalex.org/W4205427178","https://openalex.org/W4242359720","https://openalex.org/W4243872399","https://openalex.org/W4248269519","https://openalex.org/W4250334485","https://openalex.org/W4250955649","https://openalex.org/W4300263211"],"related_works":["https://openalex.org/W4294789288","https://openalex.org/W4381744927","https://openalex.org/W91730491","https://openalex.org/W3026578360","https://openalex.org/W1544128162","https://openalex.org/W14363926","https://openalex.org/W2360805131","https://openalex.org/W3137095600","https://openalex.org/W4378009016","https://openalex.org/W2364755218"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}