{"id":"https://openalex.org/W1981884787","doi":"https://doi.org/10.1109/lsp.2015.2392000","title":"Preconditioning for Underdetermined Linear Systems with Sparse Solutions","display_name":"Preconditioning for Underdetermined Linear Systems with Sparse Solutions","publication_year":2015,"publication_date":"2015-01-13","ids":{"openalex":"https://openalex.org/W1981884787","doi":"https://doi.org/10.1109/lsp.2015.2392000","mag":"1981884787"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2015.2392000","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2015.2392000","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076766934","display_name":"Evaggelia Tsiligianni","orcid":"https://orcid.org/0000-0003-2876-5788"},"institutions":[{"id":"https://openalex.org/I194019607","display_name":"University of Ioannina","ror":"https://ror.org/01qg3j183","country_code":"GR","type":"education","lineage":["https://openalex.org/I194019607"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Evaggelia Tsiligianni","raw_affiliation_strings":["Dept. of Computer Science & Engineering, University of Ioannina, Ioannina, Greece","Dept. of Computer Science and Engineering, University of Ioannina, Ioannina, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science & Engineering, University of Ioannina, Ioannina, Greece","institution_ids":["https://openalex.org/I194019607"]},{"raw_affiliation_string":"Dept. of Computer Science and Engineering, University of Ioannina, Ioannina, Greece","institution_ids":["https://openalex.org/I194019607"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039261315","display_name":"Lisimachos P. Kondi","orcid":"https://orcid.org/0000-0002-0678-4526"},"institutions":[{"id":"https://openalex.org/I194019607","display_name":"University of Ioannina","ror":"https://ror.org/01qg3j183","country_code":"GR","type":"education","lineage":["https://openalex.org/I194019607"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Lisimachos P. Kondi","raw_affiliation_strings":["Dept. of Computer Science & Engineering, University of Ioannina, Ioannina, Greece","Dept. of Computer Science and Engineering, University of Ioannina, Ioannina, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science & Engineering, University of Ioannina, Ioannina, Greece","institution_ids":["https://openalex.org/I194019607"]},{"raw_affiliation_string":"Dept. of Computer Science and Engineering, University of Ioannina, Ioannina, Greece","institution_ids":["https://openalex.org/I194019607"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048650003","display_name":"Aggelos K. Katsaggelos","orcid":"https://orcid.org/0000-0003-4554-0070"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aggelos K. Katsaggelos","raw_affiliation_strings":["Dept. of EECS Evanston, Northwestern University, IL, USA","[Dept. of EECS Evanston, Northwestern University, IL, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of EECS Evanston, Northwestern University, IL, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"[Dept. of EECS Evanston, Northwestern University, IL, USA]","institution_ids":["https://openalex.org/I111979921"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9393,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.84150771,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"9","first_page":"1239","last_page":"1243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/underdetermined-system","display_name":"Underdetermined system","score":0.9900370240211487},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.8397103548049927},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.6700080633163452},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6606356501579285},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.591369092464447},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5421896576881409},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5099762678146362},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5059365630149841},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5015900135040283},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.494933545589447},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4566078186035156},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.449344277381897},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3411937355995178},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33608609437942505},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24832338094711304},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.07666987180709839}],"concepts":[{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.9900370240211487},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.8397103548049927},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.6700080633163452},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6606356501579285},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.591369092464447},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5421896576881409},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5099762678146362},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5059365630149841},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5015900135040283},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.494933545589447},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4566078186035156},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.449344277381897},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3411937355995178},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33608609437942505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24832338094711304},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.07666987180709839},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2015.2392000","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2015.2392000","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1481995007","https://openalex.org/W1546004968","https://openalex.org/W1591116419","https://openalex.org/W1834963220","https://openalex.org/W1982334922","https://openalex.org/W1998310695","https://openalex.org/W2020775053","https://openalex.org/W2030449718","https://openalex.org/W2044762091","https://openalex.org/W2081131431","https://openalex.org/W2086869478","https://openalex.org/W2095210832","https://openalex.org/W2119337797","https://openalex.org/W2134033146","https://openalex.org/W2154332973","https://openalex.org/W2164452299","https://openalex.org/W2238615873","https://openalex.org/W2296616510","https://openalex.org/W2610857016","https://openalex.org/W3140209339","https://openalex.org/W4235713725","https://openalex.org/W4250955649","https://openalex.org/W4292170079","https://openalex.org/W6628984128"],"related_works":["https://openalex.org/W2549922247","https://openalex.org/W2300663769","https://openalex.org/W1523391825","https://openalex.org/W2152231009","https://openalex.org/W1939631077","https://openalex.org/W2152589265","https://openalex.org/W2735239078","https://openalex.org/W2963414100","https://openalex.org/W2372875289","https://openalex.org/W2071589878"],"abstract_inverted_index":{"Performance":[0],"guarantees":[1],"for":[2,49,77,129,157],"the":[3,17,20,25,46,103,120,142,146,155],"algorithms":[4],"deployed":[5],"to":[6,161],"solve":[7],"underdetermined":[8,86],"linear":[9,87],"systems":[10],"with":[11,62,89],"sparse":[12,40,90,151],"solutions":[13,91],"are":[14,37,74,159],"based":[15,124],"on":[16,125],"assumption":[18],"that":[19,97,141],"involved":[21],"system":[22,88,100],"matrix":[23,101],"has":[24],"form":[26],"of":[27,105],"an":[28,85,106],"incoherent":[29,107],"unit":[30,108],"norm":[31,109],"tight":[32,110],"frame.":[33,111],"Learned":[34],"dictionaries,":[35],"which":[36,73],"popular":[38],"in":[39,115,150],"representations,":[41],"often":[42],"do":[43,68],"not":[44,69],"meet":[45],"necessary":[47],"conditions":[48],"signal":[50],"recovery.":[51],"In":[52,80],"compressed":[53],"sensing":[54],"(CS),":[55],"recovery":[56,147],"rates":[57,148],"have":[58],"been":[59],"improved":[60],"substantially":[61],"optimized":[63,162],"projections;":[64],"however,":[65],"these":[66],"techniques":[67],"produce":[70],"binary":[71],"matrices,":[72],"more":[75],"suitable":[76],"hardware":[78],"implementation.":[79],"this":[81],"paper,":[82],"we":[83],"consider":[84],"and":[92,136,153],"propose":[93],"a":[94,99],"preconditioning":[95,116,144],"technique":[96,122],"yields":[98],"having":[102],"properties":[104],"While":[112],"existing":[113],"work":[114],"concerns":[117],"greedy":[118],"algorithms,":[119],"proposed":[121,143],"is":[123],"recent":[126],"theoretical":[127],"results":[128,156],"standard":[130],"numerical":[131],"solvers":[132],"such":[133],"as":[134],"BP":[135],"OMP.":[137],"Our":[138],"simulations":[139],"show":[140],"improves":[145],"both":[149],"representations":[152],"CS;":[154],"CS":[158],"comparable":[160],"projections.":[163]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}