{"id":"https://openalex.org/W2051127768","doi":"https://doi.org/10.3166/ria.20.757-774","title":"Kernel Basis Pursuit","display_name":"Kernel Basis Pursuit","publication_year":2006,"publication_date":"2006-12-01","ids":{"openalex":"https://openalex.org/W2051127768","doi":"https://doi.org/10.3166/ria.20.757-774","mag":"2051127768"},"language":"fr","primary_location":{"id":"doi:10.3166/ria.20.757-774","is_oa":false,"landing_page_url":"https://doi.org/10.3166/ria.20.757-774","pdf_url":null,"source":{"id":"https://openalex.org/S4210205895","display_name":"Revue d intelligence artificielle","issn_l":"0992-499X","issn":["0992-499X","1958-5748"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310312982","host_organization_name":"International Information and Engineering Technology Association","host_organization_lineage":["https://openalex.org/P4310312982"],"host_organization_lineage_names":["International Information and Engineering Technology Association"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Revue d'intelligence artificielle","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/A5044389669","display_name":"Vincent Guigue","orcid":"https://orcid.org/0000-0002-1450-5566"},"institutions":[{"id":"https://openalex.org/I4210148552","display_name":"Equipes Traitement de l'Information et Syst\u00e8mes","ror":"https://ror.org/0592ata02","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210142324","https://openalex.org/I4210148552","https://openalex.org/I4210159245","https://openalex.org/I86175216"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Vincent Guigue","raw_affiliation_strings":["Lab. Perception, Syst\u00e9mes, Information, CNRS, FRE 2645, St \u00c9tienne du Rouvray,"],"affiliations":[{"raw_affiliation_string":"Lab. Perception, Syst\u00e9mes, Information, CNRS, FRE 2645, St \u00c9tienne du Rouvray,","institution_ids":["https://openalex.org/I4210148552"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031137438","display_name":"Alain Rakotomamonjy","orcid":null},"institutions":[{"id":"https://openalex.org/I4210148552","display_name":"Equipes Traitement de l'Information et Syst\u00e8mes","ror":"https://ror.org/0592ata02","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210142324","https://openalex.org/I4210148552","https://openalex.org/I4210159245","https://openalex.org/I86175216"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alain Rakotomamonjy","raw_affiliation_strings":["Lab. Perception, Syst\u00e9mes, Information, CNRS, FRE 2645, St \u00c9tienne du Rouvray,"],"affiliations":[{"raw_affiliation_string":"Lab. Perception, Syst\u00e9mes, Information, CNRS, FRE 2645, St \u00c9tienne du Rouvray,","institution_ids":["https://openalex.org/I4210148552"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017956425","display_name":"St\u00e9phane Canu","orcid":"https://orcid.org/0000-0002-7602-4557"},"institutions":[{"id":"https://openalex.org/I4210148552","display_name":"Equipes Traitement de l'Information et Syst\u00e8mes","ror":"https://ror.org/0592ata02","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210142324","https://openalex.org/I4210148552","https://openalex.org/I4210159245","https://openalex.org/I86175216"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"St\u00e9phane Canu","raw_affiliation_strings":["Lab. Perception, Syst\u00e9mes, Information, CNRS, FRE 2645, St \u00c9tienne du Rouvray,"],"affiliations":[{"raw_affiliation_string":"Lab. Perception, Syst\u00e9mes, Information, CNRS, FRE 2645, St \u00c9tienne du Rouvray,","institution_ids":["https://openalex.org/I4210148552"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044389669"],"corresponding_institution_ids":["https://openalex.org/I4210148552"],"apc_list":null,"apc_paid":null,"fwci":0.4114,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65045623,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"20","issue":"6","first_page":"757","last_page":"774"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9761000275611877,"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":0.9761000275611877,"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/T11236","display_name":"Control Systems and Identification","score":0.9643999934196472,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11205","display_name":"Numerical methods in inverse problems","score":0.9289000034332275,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5223454236984253},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5034818053245544},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.42214030027389526},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40174442529678345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3029863238334656}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5223454236984253},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5034818053245544},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.42214030027389526},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40174442529678345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3029863238334656},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3166/ria.20.757-774","is_oa":false,"landing_page_url":"https://doi.org/10.3166/ria.20.757-774","pdf_url":null,"source":{"id":"https://openalex.org/S4210205895","display_name":"Revue d intelligence artificielle","issn_l":"0992-499X","issn":["0992-499X","1958-5748"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310312982","host_organization_name":"International Information and Engineering Technology Association","host_organization_lineage":["https://openalex.org/P4310312982"],"host_organization_lineage_names":["International Information and Engineering Technology Association"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Revue d'intelligence artificielle","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2033914206","https://openalex.org/W2042327336"],"abstract_inverted_index":{"Estimating":[0],"a":[1,6,12,44,49,76,92,148],"non-uniformly":[2],"sampled":[3],"function":[4,50,88],"from":[5,51],"set":[7,94],"of":[8,58,95],"learning":[9,53],"points":[10,54],"is":[11,84],"classical":[13],"regression":[14],"problem.":[15],"Kernel":[16,61,67],"methods":[17],"have":[18],"been":[19],"widely":[20],"used":[21],"in":[22,55],"this":[23],"context,":[24],"but":[25],"every":[26],"problem":[27],"leads":[28],"to":[29,47,74,85,89,132,137,152],"two":[30],"major":[31],"tasks:":[32],"optimizing":[33],"the":[34,38,56,66,87,102,113,127],"kernel":[35],"and":[36,106,111],"setting":[37],"fitness-regularization":[39,141],"compromise.":[40,142],"This":[41],"article":[42],"presents":[43],"new":[45,134],"method":[46,151],"estimate":[48,153],"noisy":[52],"context":[57],"RKHS":[59],"(Reproducing":[60],"Hilbert":[62],"Space).":[63],"We":[64],"introduce":[65],"Basis":[68],"Pursuit":[69],"algorithm,":[70],"which":[71],"enables":[72],"us":[73,131],"build":[75],"L":[77],"1":[78],"-regularized-multiple-kernel":[79],"estimator.":[80],"The":[81,120],"general":[82],"idea":[83],"decompose":[86],"learn":[90],"on":[91,101,112],"sparse-optimal":[93],"spanning":[96],"functions.":[97,155],"Our":[98],"implementation":[99],"relies":[100],"Least":[103,114],"Absolute":[104],"Shrinkage":[105],"Selection":[107],"Operator":[108],"(LASSO)":[109],"formulation":[110],"Angle":[115],"Regression":[116],"Stepwise":[117],"(LARS)":[118],"solver.":[119],"computation":[121],"ofthe":[122],"full":[123],"regularization":[124],"path,":[125],"through":[126],"LARS,":[128],"will":[129],"enable":[130],"propose":[133],"adaptive":[135],"criteria":[136],"find":[138],"an":[139],"optimal":[140],"Finally,":[143],"we":[144],"aim":[145],"at":[146],"proposing":[147],"fast":[149],"parameter-free":[150],"non-uniform-sampled":[154]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}