{"id":"https://openalex.org/W2064322097","doi":"https://doi.org/10.1109/tsp.2014.2302740","title":"$l_{q}$ Sparsity Penalized Linear Regression With Cyclic Descent","display_name":"$l_{q}$ Sparsity Penalized Linear Regression With Cyclic Descent","publication_year":2014,"publication_date":"2014-01-31","ids":{"openalex":"https://openalex.org/W2064322097","doi":"https://doi.org/10.1109/tsp.2014.2302740","mag":"2064322097"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2014.2302740","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2014.2302740","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on Signal Processing","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/A5018011442","display_name":"Goran Marjanovic","orcid":"https://orcid.org/0000-0003-2016-2384"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Goran Marjanovic","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091154507","display_name":"Victor Solo","orcid":"https://orcid.org/0000-0002-5123-7708"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Victor Solo","raw_affiliation_strings":["Head of Systems and Control Research Group, School of Electrical Engineering and Telecommunications, University of New South Wales, Kensington, Sydney, NSW, Australia","Sch. of Electr. Eng. & Telecommun, Univ. of New South Wales, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Head of Systems and Control Research Group, School of Electrical Engineering and Telecommunications, University of New South Wales, Kensington, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"Sch. of Electr. Eng. & Telecommun, Univ. of New South Wales, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":6.5537,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.97336066,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"62","issue":"6","first_page":"1464","last_page":"1475"},"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9986000061035156,"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/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5357403755187988},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5054512023925781},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47328728437423706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44237464666366577},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40751463174819946},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3741580545902252}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5357403755187988},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5054512023925781},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47328728437423706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44237464666366577},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40751463174819946},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3741580545902252},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2014.2302740","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2014.2302740","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6499999761581421,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W17407774","https://openalex.org/W189211379","https://openalex.org/W562372631","https://openalex.org/W616850042","https://openalex.org/W833778302","https://openalex.org/W1540764732","https://openalex.org/W1550563201","https://openalex.org/W1965169081","https://openalex.org/W1966661320","https://openalex.org/W1968694834","https://openalex.org/W1969387119","https://openalex.org/W1973397215","https://openalex.org/W1975377467","https://openalex.org/W1980454827","https://openalex.org/W1980500788","https://openalex.org/W1999905919","https://openalex.org/W2004544971","https://openalex.org/W2006262045","https://openalex.org/W2015418199","https://openalex.org/W2016278923","https://openalex.org/W2025666718","https://openalex.org/W2056636001","https://openalex.org/W2064436512","https://openalex.org/W2068243649","https://openalex.org/W2076605490","https://openalex.org/W2082823585","https://openalex.org/W2090927030","https://openalex.org/W2097360283","https://openalex.org/W2102760656","https://openalex.org/W2107861471","https://openalex.org/W2109449402","https://openalex.org/W2110505738","https://openalex.org/W2115706991","https://openalex.org/W2119862467","https://openalex.org/W2122315118","https://openalex.org/W2126607811","https://openalex.org/W2129607944","https://openalex.org/W2129638195","https://openalex.org/W2132680427","https://openalex.org/W2135046866","https://openalex.org/W2139791599","https://openalex.org/W2141423041","https://openalex.org/W2146571341","https://openalex.org/W2149414429","https://openalex.org/W2166221887","https://openalex.org/W2168745297","https://openalex.org/W2296616510","https://openalex.org/W3098745759","https://openalex.org/W3099740457","https://openalex.org/W3147510171","https://openalex.org/W4247649469","https://openalex.org/W4250955649","https://openalex.org/W4254313632","https://openalex.org/W4291236916","https://openalex.org/W4294541781"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W4238204885"],"abstract_inverted_index":{"Recently,":[0],"there":[1],"has":[2,27],"been":[3,28],"a":[4,23,60,91],"lot":[5],"of":[6,94],"focus":[7],"on":[8],"penalized":[9],"least":[10,70],"squares":[11,71],"problems":[12],"for":[13,65,75],"noisy":[14],"sparse":[15],"signal":[16,110],"estimation.":[17],"The":[18],"penalty":[19,115],"induces":[20],"sparsity":[21,35],"and":[22,36,80,103],"very":[24],"common":[25],"choice":[26],"the":[29,38,42,52,67,95,109],"convex":[30],"l1norm.":[31],"However,":[32],"to":[33,47,90],"improve":[34],"reduce":[37],"biases":[39],"associated":[40],"with":[41,106,113],"l1norm,":[43],"one":[44],"must":[45],"move":[46],"non-convex":[48],"penalties":[49],"such":[50],"as":[51,86,88],"lqnorm":[53],".":[54],"In":[55],"this":[56,76],"paper":[57],"we":[58,104],"present":[59],"novel":[61],"cyclic":[62],"descent":[63],"algorithm":[64],"optimizing":[66],"resulting":[68],"lqpenalized":[69],"problem.":[72],"Optimality":[73],"conditions":[74],"problem":[77],"are":[78],"derived":[79],"competing":[81],"ones":[82],"clarified.":[83],"Coordinate-wise":[84],"convergence":[85,89],"well":[87],"local":[92],"minimizer":[93],"algorithm,":[96],"which":[97],"is":[98,101],"highly":[99],"non-trivial,":[100],"proved":[102],"illustrate":[105],"simulations":[107],"comparing":[108],"reconstruction":[111],"quality":[112],"three":[114],"functions:":[116],"l0,":[117],"l1and":[118],"lqwith":[119],"0":[120],"<;":[121,123],"q":[122],"1.":[124]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}