{"id":"https://openalex.org/W3016031882","doi":"https://doi.org/10.1109/icassp40776.2020.9053870","title":"Sparse Branch and Bound for Exact Optimization of L0-Norm Penalized Least Squares","display_name":"Sparse Branch and Bound for Exact Optimization of L0-Norm Penalized Least Squares","publication_year":2020,"publication_date":"2020-04-09","ids":{"openalex":"https://openalex.org/W3016031882","doi":"https://doi.org/10.1109/icassp40776.2020.9053870","mag":"3016031882"},"language":"en","primary_location":{"id":"doi:10.1109/icassp40776.2020.9053870","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp40776.2020.9053870","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2020 - 2020 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/A5066645202","display_name":"Ramzi Ben Mhenni","orcid":"https://orcid.org/0000-0002-3611-0119"},"institutions":[{"id":"https://openalex.org/I100445878","display_name":"\u00c9cole Centrale de Nantes","ror":"https://ror.org/03nh7d505","country_code":"FR","type":"education","lineage":["https://openalex.org/I100445878","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I97188460","display_name":"Nantes Universit\u00e9","ror":"https://ror.org/03gnr7b55","country_code":"FR","type":"education","lineage":["https://openalex.org/I97188460"]},{"id":"https://openalex.org/I4210117005","display_name":"Laboratoire des Sciences du Num\u00e9rique de Nantes","ror":"https://ror.org/02snf8m58","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100445878","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I4210117005","https://openalex.org/I4210124215","https://openalex.org/I4210127572","https://openalex.org/I4210139971","https://openalex.org/I97188460","https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Ramzi Ben Mhenni","raw_affiliation_strings":["\u00c9cole Centrale de Nantes, Nantes, France","LS2N - Laboratoire des Sciences du Num\u00e9rique de Nantes (Universit\u00e9 de Nantes \u2013 facult\u00e9 des Sciences et Techniques (FST)\r\n2 Chemin de la Houssini\u00e8re\r\nBP 92208, 44322 Nantes Cedex 3 - France)"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Centrale de Nantes, Nantes, France","institution_ids":["https://openalex.org/I100445878"]},{"raw_affiliation_string":"LS2N - Laboratoire des Sciences du Num\u00e9rique de Nantes (Universit\u00e9 de Nantes \u2013 facult\u00e9 des Sciences et Techniques (FST)\r\n2 Chemin de la Houssini\u00e8re\r\nBP 92208, 44322 Nantes Cedex 3 - France)","institution_ids":["https://openalex.org/I4210117005","https://openalex.org/I97188460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025864759","display_name":"S\u00e9bastien Bourguignon","orcid":"https://orcid.org/0000-0002-6660-2704"},"institutions":[{"id":"https://openalex.org/I100445878","display_name":"\u00c9cole Centrale de Nantes","ror":"https://ror.org/03nh7d505","country_code":"FR","type":"education","lineage":["https://openalex.org/I100445878","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I4210117005","display_name":"Laboratoire des Sciences du Num\u00e9rique de Nantes","ror":"https://ror.org/02snf8m58","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100445878","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I4210117005","https://openalex.org/I4210124215","https://openalex.org/I4210127572","https://openalex.org/I4210139971","https://openalex.org/I97188460","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I97188460","display_name":"Nantes Universit\u00e9","ror":"https://ror.org/03gnr7b55","country_code":"FR","type":"education","lineage":["https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sebastien Bourguignon","raw_affiliation_strings":["\u00c9cole Centrale de Nantes, Nantes, France","LS2N - Laboratoire des Sciences du Num\u00e9rique de Nantes (Universit\u00e9 de Nantes \u2013 facult\u00e9 des Sciences et Techniques (FST)\r\n2 Chemin de la Houssini\u00e8re\r\nBP 92208, 44322 Nantes Cedex 3 - France)"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Centrale de Nantes, Nantes, France","institution_ids":["https://openalex.org/I100445878"]},{"raw_affiliation_string":"LS2N - Laboratoire des Sciences du Num\u00e9rique de Nantes (Universit\u00e9 de Nantes \u2013 facult\u00e9 des Sciences et Techniques (FST)\r\n2 Chemin de la Houssini\u00e8re\r\nBP 92208, 44322 Nantes Cedex 3 - France)","institution_ids":["https://openalex.org/I4210117005","https://openalex.org/I97188460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032219207","display_name":"Marcel Mongeau","orcid":"https://orcid.org/0000-0001-7667-1044"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I100296615","display_name":"\u00c9cole Nationale de l\u2019Aviation Civile","ror":"https://ror.org/022zdgq74","country_code":"FR","type":"education","lineage":["https://openalex.org/I100296615","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marcel Mongeau","raw_affiliation_strings":["ENAC, Universit\u00e9 de Toulouse, Toulouse, France","ENAC - Ecole Nationale de l'Aviation Civile (7 avenue Edouard Belin\r\nCS 54005\r\n31055 Toulouse cedex 4 - France)"],"affiliations":[{"raw_affiliation_string":"ENAC, Universit\u00e9 de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I100296615","https://openalex.org/I17866349"]},{"raw_affiliation_string":"ENAC - Ecole Nationale de l'Aviation Civile (7 avenue Edouard Belin\r\nCS 54005\r\n31055 Toulouse cedex 4 - France)","institution_ids":["https://openalex.org/I100296615"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025972670","display_name":"Jordan Ninin","orcid":"https://orcid.org/0000-0002-7232-8246"},"institutions":[{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I4210123702","display_name":"Laboratoire des Sciences et Techniques de l\u2019Information de la Communication et de la Connaissance","ror":"https://ror.org/0266kfd37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I201181511","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I4210123702","https://openalex.org/I4210127572","https://openalex.org/I4210145102","https://openalex.org/I4210148559","https://openalex.org/I4210159245","https://openalex.org/I4405260085"]},{"id":"https://openalex.org/I4210148559","display_name":"\u00c9cole nationale sup\u00e9rieure de techniques avanc\u00e9es Bretagne","ror":"https://ror.org/059n54003","country_code":"FR","type":"education","lineage":["https://openalex.org/I201181511","https://openalex.org/I4210145102","https://openalex.org/I4210148559"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jordan Ninin","raw_affiliation_strings":["ENSTA-Bretagne, Lab-STICC, Brest cedex 9, France","Lab-STICC_ENSTAB_CID_PRASYS (ENSTA Bretagne, 2 rue Fran\u00e7ois Verny, 29806 Brest cedex 9 - France)"],"affiliations":[{"raw_affiliation_string":"ENSTA-Bretagne, Lab-STICC, Brest cedex 9, France","institution_ids":["https://openalex.org/I161929037","https://openalex.org/I4210123702","https://openalex.org/I4210148559"]},{"raw_affiliation_string":"Lab-STICC_ENSTAB_CID_PRASYS (ENSTA Bretagne, 2 rue Fran\u00e7ois Verny, 29806 Brest cedex 9 - France)","institution_ids":["https://openalex.org/I161929037","https://openalex.org/I4210148559"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088924579","display_name":"Herv\u00e9 Carfantan","orcid":"https://orcid.org/0000-0001-7925-9426"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210165452","display_name":"Institut de Recherche en Astrophysique et Plan\u00e9tologie","ror":"https://ror.org/05hm2ja81","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I2799535048","https://openalex.org/I4210148025","https://openalex.org/I4210165452","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Herve Carfantan","raw_affiliation_strings":["IRAP, Universit\u00e9 de Toulouse, UPS, CNRS, CNES, Toulouse, France","IRAP - Institut de recherche en astrophysique et plan\u00e9tologie (9 avenue Colonel Roche 31028 Toulouse - France)"],"affiliations":[{"raw_affiliation_string":"IRAP, Universit\u00e9 de Toulouse, UPS, CNRS, CNES, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I134560555","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IRAP - Institut de recherche en astrophysique et plan\u00e9tologie (9 avenue Colonel Roche 31028 Toulouse - France)","institution_ids":["https://openalex.org/I4210165452"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5066645202"],"corresponding_institution_ids":["https://openalex.org/I100445878","https://openalex.org/I4210117005","https://openalex.org/I97188460"],"apc_list":null,"apc_paid":null,"fwci":1.7671,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82761087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"5735","last_page":"5739"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997000098228455,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/solver","display_name":"Solver","score":0.7307740449905396},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5981221795082092},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5633373856544495},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5372803807258606},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.5339839458465576},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49783992767333984},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4676399230957031},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44237229228019714},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4284108877182007},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4044697880744934},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3275220990180969},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19791200757026672}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7307740449905396},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5981221795082092},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5633373856544495},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5372803807258606},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.5339839458465576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49783992767333984},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4676399230957031},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44237229228019714},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4284108877182007},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4044697880744934},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3275220990180969},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19791200757026672},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp40776.2020.9053870","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp40776.2020.9053870","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02564594v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02564594","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ICASSP 2020, IEEE International Conference on Acoustics, Speech and Signal Processing, May 2020, Barcelona, Spain. pp.ISBN: 978-1-5090-6632-2, &#x27E8;10.1109/ICASSP40776.2020.9053870&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1596480747","https://openalex.org/W1771758700","https://openalex.org/W2036699147","https://openalex.org/W2038408464","https://openalex.org/W2041781650","https://openalex.org/W2063004221","https://openalex.org/W2113606819","https://openalex.org/W2118297240","https://openalex.org/W2123107972","https://openalex.org/W2166029977","https://openalex.org/W2235020008","https://openalex.org/W2497464837","https://openalex.org/W2609951494","https://openalex.org/W2920819663","https://openalex.org/W4249667877","https://openalex.org/W6676903177","https://openalex.org/W6724119101"],"related_works":["https://openalex.org/W2084616826","https://openalex.org/W2008600006","https://openalex.org/W1968202374","https://openalex.org/W2009796757","https://openalex.org/W3153884794","https://openalex.org/W2482371100","https://openalex.org/W2275468419","https://openalex.org/W2941986668","https://openalex.org/W125276123","https://openalex.org/W4391709571"],"abstract_inverted_index":{"We":[0,36],"propose":[1],"a":[2,17],"global":[3],"optimization":[4,54],"approach":[5],"to":[6,70,81],"solve":[7,71],"\u2113":[8,49],"<sub":[9,50],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10,51],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[11],"-norm":[12],"penalized":[13],"least-squares":[14],"problems,":[15,78],"using":[16],"dedicated":[18],"branch-and-bound":[19],"methodology.":[20],"A":[21],"specific":[22],"tree":[23],"search":[24],"strategy":[25],"is":[26,64,68],"built,":[27],"with":[28,56],"branching":[29],"rules":[30],"inspired":[31],"from":[32],"greedy":[33],"exploration":[34],"techniques.":[35],"show":[37],"that":[38],"the":[39,90],"subproblem":[40],"involved":[41],"at":[42],"each":[43],"node":[44],"can":[45],"be":[46],"evaluated":[47],"via":[48],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[52],"-norm-based":[53],"problems":[55],"box":[57],"constraints,":[58],"for":[59],"which":[60],"an":[61],"active-set":[62],"algorithm":[63],"built.":[65],"Our":[66],"method":[67],"able":[69],"exactly":[72],"moderate-size,":[73],"yet":[74],"difficult,":[75],"sparse":[76],"approximation":[77],"without":[79],"resorting":[80],"mixed-integer":[82],"programming":[83],"(MIP)":[84],"optimization.":[85],"In":[86],"particular,":[87],"it":[88],"outperforms":[89],"generic":[91],"MIP":[92],"solver":[93],"CPLEX.":[94]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}