{"id":"https://openalex.org/W2517992164","doi":"https://doi.org/10.1109/ssp.2016.7551813","title":"Democratic prior for anti-sparse coding","display_name":"Democratic prior for anti-sparse coding","publication_year":2016,"publication_date":"2016-06-01","ids":{"openalex":"https://openalex.org/W2517992164","doi":"https://doi.org/10.1109/ssp.2016.7551813","mag":"2517992164"},"language":"en","primary_location":{"id":"doi:10.1109/ssp.2016.7551813","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp.2016.7551813","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Statistical Signal Processing Workshop (SSP)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01433632","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062132051","display_name":"Cl\u00e9ment Elvira","orcid":"https://orcid.org/0000-0001-5316-2191"},"institutions":[{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4387153239","display_name":"Centre de Recherche en Informatique, Signal et Automatique de Lille","ror":"https://ror.org/05vrs3189","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4387153239","https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Clement Elvira","raw_affiliation_strings":["Univ. Lille, UMR 9189- CRIStAL, Lille, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Lille, UMR 9189- CRIStAL, Lille, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4387153239"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088402344","display_name":"Pierre Chainais","orcid":"https://orcid.org/0000-0003-4377-7584"},"institutions":[{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4387153239","display_name":"Centre de Recherche en Informatique, Signal et Automatique de Lille","ror":"https://ror.org/05vrs3189","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4387153239","https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Chainais","raw_affiliation_strings":["Univ. Lille, UMR 9189- CRIStAL, Lille, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Lille, UMR 9189- CRIStAL, Lille, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4387153239"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024149247","display_name":"Nicolas Dobigeon","orcid":"https://orcid.org/0000-0001-8127-350X"},"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"]},{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4387153255","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'\u00c9lectrotechnique, d'\u00c9lectronique, d'Informatique, d'Hydraulique et des T\u00e9l\u00e9communications","ror":"https://ror.org/05wfw4946","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4387153255"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Dobigeon","raw_affiliation_strings":["University of Toulouse, IRIT/INP-ENSEEIHT, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Toulouse, IRIT/INP-ENSEEIHT, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I205747304","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189","https://openalex.org/I4387153255"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":9,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5327,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62175809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.989799976348877,"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/gibbs-sampling","display_name":"Gibbs sampling","score":0.7695402503013611},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.5490758419036865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5292895436286926},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5030171275138855},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4808571934700012},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4572046399116516},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.4437953233718872},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42344406247138977},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4185390770435333},{"id":"https://openalex.org/keywords/neural-coding","display_name":"Neural coding","score":0.4152517318725586},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4116475582122803},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3984907865524292},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.2635723948478699},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24166622757911682},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1349116563796997}],"concepts":[{"id":"https://openalex.org/C158424031","wikidata":"https://www.wikidata.org/wiki/Q1191905","display_name":"Gibbs sampling","level":3,"score":0.7695402503013611},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.5490758419036865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5292895436286926},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5030171275138855},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4808571934700012},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4572046399116516},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.4437953233718872},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42344406247138977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4185390770435333},{"id":"https://openalex.org/C77637269","wikidata":"https://www.wikidata.org/wiki/Q7002051","display_name":"Neural coding","level":2,"score":0.4152517318725586},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4116475582122803},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3984907865524292},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.2635723948478699},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24166622757911682},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1349116563796997},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/ssp.2016.7551813","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp.2016.7551813","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Statistical Signal Processing Workshop (SSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01433632v2","is_oa":true,"landing_page_url":"https://hal.science/hal-01433632","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Workshop on statistical signal processing (SSP 2016), Jun 2016, Palma de Mallorca, Spain. pp. 1-5","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/24236","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/24236","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01433632v2","is_oa":true,"landing_page_url":"https://hal.science/hal-01433632","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Workshop on statistical signal processing (SSP 2016), Jun 2016, Palma de Mallorca, Spain. pp. 1-5","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1558572410","https://openalex.org/W1979905340","https://openalex.org/W2051378923","https://openalex.org/W2055045134","https://openalex.org/W2098505692","https://openalex.org/W2116201158","https://openalex.org/W2163458985","https://openalex.org/W2167931879","https://openalex.org/W2207463143","https://openalex.org/W2296296809","https://openalex.org/W3037378150","https://openalex.org/W6633285035","https://openalex.org/W6688068865","https://openalex.org/W6779942204"],"related_works":["https://openalex.org/W2072169887","https://openalex.org/W3125971950","https://openalex.org/W1580681286","https://openalex.org/W2116700007","https://openalex.org/W2175355783","https://openalex.org/W4283770175","https://openalex.org/W4386272753","https://openalex.org/W2622204791","https://openalex.org/W1579866848","https://openalex.org/W2066716418"],"abstract_inverted_index":{"Anti-sparse":[0],"coding":[1,106],"aims":[2],"at":[3],"spreading":[4],"the":[5,67,98,101,115],"information":[6],"uniformly":[7],"over":[8],"representation":[9],"coefficients":[10],"and":[11],"can":[12],"be":[13],"naturally":[14],"expressed":[15],"through":[16],"an":[17,88],"\u2113\u221e-norm":[18],"regularization.":[19],"This":[20,36],"paper":[21],"derives":[22],"a":[23,28,44,50,78,108],"probabilistic":[24],"formulation":[25],"of":[26,71,100],"such":[27],"problem.":[29,54],"A":[30,55],"new":[31],"probability":[32],"distribution":[33,39,70],"is":[34,40,58,85],"introduced.":[35],"so-called":[37],"democratic":[38],"then":[41],"used":[42],"as":[43,87],"prior":[45],"to":[46,60,66,75,90],"promote":[47],"anti-sparsity":[48],"in":[49],"linear":[51],"Gaussian":[52],"inverse":[53],"Gibbs":[56,91],"sampler":[57],"designed":[59],"generate":[61],"samples":[62],"asymptotically":[63],"distributed":[64],"according":[65],"joint":[68],"posterior":[69],"interest.":[72],"To":[73],"scale":[74],"higher":[76],"dimension,":[77],"proximal":[79],"Markov":[80],"chain":[81],"Monte":[82],"Carlo":[83],"algorithm":[84],"proposed":[86,102],"alternative":[89],"sampling.":[92],"Simulations":[93],"on":[94,107],"synthetic":[95],"data":[96],"illustrate":[97],"performance":[99],"method":[103],"for":[104],"anti-sparse":[105],"complete":[109],"dictionary.":[110],"Results":[111],"are":[112],"compared":[113],"with":[114],"recent":[116],"deterministic":[117],"variational":[118],"FITRA":[119],"algorithm.":[120]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
