{"id":"https://openalex.org/W2106371768","doi":"https://doi.org/10.1109/icassp.2012.6288653","title":"On the Lagrangian biduality of sparsity minimization problems","display_name":"On the Lagrangian biduality of sparsity minimization problems","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W2106371768","doi":"https://doi.org/10.1109/icassp.2012.6288653","mag":"2106371768"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2012.6288653","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288653","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-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/A5063073836","display_name":"Dheeraj Singaraju","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dheeraj Singaraju","raw_affiliation_strings":["University of California, Berkeley, CA, USA","University of California, Berkeley 94720, USA"],"affiliations":[{"raw_affiliation_string":"University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031884953","display_name":"Roberto Tron","orcid":"https://orcid.org/0000-0002-6676-8595"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roberto Tron","raw_affiliation_strings":["Center for Imaging Science, Johns Hopkins University, Baltimore, MD, USA","Center for Imaging Science, Johns Hopkins University, Baltimore, MD, 21218, USA"],"affiliations":[{"raw_affiliation_string":"Center for Imaging Science, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Center for Imaging Science, Johns Hopkins University, Baltimore, MD, 21218, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088989912","display_name":"Ehsan Elhamifar","orcid":"https://orcid.org/0000-0001-5517-548X"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ehsan Elhamifar","raw_affiliation_strings":["Center for Imaging Science, Johns Hopkins University, Baltimore, MD, USA","Center for Imaging Science, Johns Hopkins University, Baltimore, MD, 21218, USA"],"affiliations":[{"raw_affiliation_string":"Center for Imaging Science, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Center for Imaging Science, Johns Hopkins University, Baltimore, MD, 21218, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107790029","display_name":"Allen Y. Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Allen Y. Yang","raw_affiliation_strings":["University of California, Berkeley, CA, USA","University of California, Berkeley 94720, USA"],"affiliations":[{"raw_affiliation_string":"University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103101043","display_name":"S. Shankar Sastry","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Shankar Sastry","raw_affiliation_strings":["University of California, Berkeley, CA, USA","University of California, Berkeley 94720, USA"],"affiliations":[{"raw_affiliation_string":"University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5063073836"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.15806248,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"3429","last_page":"3432"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9976000189781189,"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":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.792422890663147},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.5881355404853821},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5455091595649719},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5193049311637878},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5094638466835022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48084887862205505},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.434164434671402},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42811641097068787},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4242820143699646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3873293101787567},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38555222749710083},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33181270956993103},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32157444953918457},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19074800610542297}],"concepts":[{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.792422890663147},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.5881355404853821},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5455091595649719},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5193049311637878},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5094638466835022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48084887862205505},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.434164434671402},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42811641097068787},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4242820143699646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3873293101787567},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38555222749710083},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33181270956993103},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32157444953918457},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19074800610542297},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/icassp.2012.6288653","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288653","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.220.8287","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.220.8287","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eecs.berkeley.edu/%7Eyang/paper/ICASSP-biduality-final.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.763.7136","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.763.7136","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1201.3674.pdf","raw_type":"text"},{"id":"pmh:oai:open.bu.edu:2144/28819","is_oa":false,"landing_page_url":"https://hdl.handle.net/2144/28819","pdf_url":null,"source":{"id":"https://openalex.org/S4306402183","display_name":"OpenBU/Boston University Institutional Repository (Boston University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I111088046","host_organization_name":"Boston University","host_organization_lineage":["https://openalex.org/I111088046"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1674742109","https://openalex.org/W1976709621","https://openalex.org/W2015418199","https://openalex.org/W2028452438","https://openalex.org/W2038964396","https://openalex.org/W2056630835","https://openalex.org/W2096586829","https://openalex.org/W2097323375","https://openalex.org/W2098996169","https://openalex.org/W2107214962","https://openalex.org/W2114122776","https://openalex.org/W2114147096","https://openalex.org/W2116148865","https://openalex.org/W2129131372","https://openalex.org/W2129812935","https://openalex.org/W2147276092","https://openalex.org/W2154332973","https://openalex.org/W2170844819","https://openalex.org/W2296319761","https://openalex.org/W2620300926","https://openalex.org/W2953028742","https://openalex.org/W2962727219","https://openalex.org/W2994340921","https://openalex.org/W3103879072","https://openalex.org/W4238744307","https://openalex.org/W4250589301","https://openalex.org/W4285719527","https://openalex.org/W6679884957"],"related_works":["https://openalex.org/W2317351040","https://openalex.org/W4285447065","https://openalex.org/W2393949104","https://openalex.org/W1988622314","https://openalex.org/W3046201198","https://openalex.org/W2752454479","https://openalex.org/W2336825631","https://openalex.org/W4293061921","https://openalex.org/W2952466936","https://openalex.org/W3153752017"],"abstract_inverted_index":{"We":[0,24],"present":[1],"a":[2,7,99],"novel":[3],"primal-dual":[4],"analysis":[5],"on":[6,80],"class":[8],"of":[9,34,38,53,70,102],"NP-hard":[10],"sparsity":[11,40,79,107],"minimization":[12,41,108],"problems":[13,42],"to":[14,46,97],"provide":[15],"new":[16,100],"interpretations":[17],"for":[18,76,104],"their":[19],"well":[20],"known":[21],"convex":[22,49],"relaxations.":[23],"show":[25],"that":[26],"the":[27,31,35,39,51,54,68,92,105],"Lagrangian":[28,32,36],"bidual":[29,52,69],"(i.e.,":[30],"dual":[33],"dual)":[37],"can":[43],"be":[44],"used":[45,96],"derive":[47],"interesting":[48],"relaxations:":[50],"\u2113":[55,62,71,84],"<sub":[56,63,72,85],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[57,64,73,86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[58],"-minimization":[59,75,88],"problem":[60],"is":[61,83],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[65],"-minimization;":[66],"and":[67],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0,1</sub>":[74],"enforcing":[77],"group":[78,106],"structured":[81],"data":[82],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1,\u221e</sub>":[87],"problem.":[89,109],"Intuitions":[90],"from":[91],"bidual-based":[93],"relaxation":[94],"are":[95],"introduce":[98],"family":[101],"relaxations":[103]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}