{"id":"https://openalex.org/W4395070863","doi":"https://doi.org/10.1162/neco_a_01657","title":"Positive Competitive Networks for Sparse Reconstruction","display_name":"Positive Competitive Networks for Sparse Reconstruction","publication_year":2024,"publication_date":"2024-04-25","ids":{"openalex":"https://openalex.org/W4395070863","doi":"https://doi.org/10.1162/neco_a_01657","pmid":"https://pubmed.ncbi.nlm.nih.gov/38657968"},"language":"en","primary_location":{"id":"doi:10.1162/neco_a_01657","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco_a_01657","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5073929900","display_name":"Veronica Centorrino","orcid":"https://orcid.org/0000-0002-8242-395X"},"institutions":[{"id":"https://openalex.org/I4210149489","display_name":"Scuola Superiore Meridionale","ror":"https://ror.org/04swxte59","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210149489"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Veronica Centorrino","raw_affiliation_strings":["Scuola Superiore Meridionale, Naples 80138, Italy veronica.centorrino@unina.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Scuola Superiore Meridionale, Naples 80138, Italy veronica.centorrino@unina.it","institution_ids":["https://openalex.org/I4210149489"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080330764","display_name":"Anand Gokhale","orcid":"https://orcid.org/0000-0002-0569-2785"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anand Gokhale","raw_affiliation_strings":["Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, Santa Barbara, CA 93106 U.S.A. anand_gokhale@ucsb.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, Santa Barbara, CA 93106 U.S.A. anand_gokhale@ucsb.edu","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059595265","display_name":"A. S. Davydov","orcid":"https://orcid.org/0000-0001-5629-2565"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexander Davydov","raw_affiliation_strings":["Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, Santa Barbara, CA 93106 U.S.A. davydov@ucsb.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, Santa Barbara, CA 93106 U.S.A. davydov@ucsb.edu","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000619566","display_name":"Giovanni Russo","orcid":"https://orcid.org/0000-0001-5001-3027"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giovanni Russo","raw_affiliation_strings":["Department of Information and Electric Engineering and Applied Mathematics, University of Salerno, Fisciano 84084, Italy giovarusso@unisa.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information and Electric Engineering and Applied Mathematics, University of Salerno, Fisciano 84084, Italy giovarusso@unisa.it","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068353454","display_name":"Francesco Bullo","orcid":"https://orcid.org/0000-0002-4785-2118"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Francesco Bullo","raw_affiliation_strings":["Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, Santa Barbara, CA 93106 U.S.A. bullo@ucsb.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, Santa Barbara, CA 93106 U.S.A. bullo@ucsb.edu","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5000619566","https://openalex.org/A5059595265","https://openalex.org/A5068353454","https://openalex.org/A5073929900","https://openalex.org/A5080330764"],"corresponding_institution_ids":["https://openalex.org/I131729948","https://openalex.org/I154570441","https://openalex.org/I4210149489"],"apc_list":null,"apc_paid":null,"fwci":1.7061,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80549257,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"36","issue":"6","first_page":"1163","last_page":"1197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991999864578247,"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":0.9991999864578247,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/computer-science","display_name":"Computer science","score":0.4771570563316345},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4474508762359619},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3465188443660736},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3311507999897003}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4771570563316345},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4474508762359619},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3465188443660736},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3311507999897003}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1162/neco_a_01657","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco_a_01657","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:38657968","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38657968","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural computation","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W403935824","https://openalex.org/W1512746852","https://openalex.org/W1597286183","https://openalex.org/W1946620893","https://openalex.org/W1972942983","https://openalex.org/W1991693778","https://openalex.org/W1997585233","https://openalex.org/W1999174140","https://openalex.org/W1999949109","https://openalex.org/W2010228425","https://openalex.org/W2013239224","https://openalex.org/W2015745168","https://openalex.org/W2039617089","https://openalex.org/W2052918609","https://openalex.org/W2068728923","https://openalex.org/W2073946125","https://openalex.org/W2074376560","https://openalex.org/W2100543212","https://openalex.org/W2105464873","https://openalex.org/W2107306109","https://openalex.org/W2109668884","https://openalex.org/W2112246162","https://openalex.org/W2116216716","https://openalex.org/W2117731089","https://openalex.org/W2119667497","https://openalex.org/W2128332575","https://openalex.org/W2129812935","https://openalex.org/W2134889984","https://openalex.org/W2145889472","https://openalex.org/W2154046869","https://openalex.org/W2167034998","https://openalex.org/W2229327547","https://openalex.org/W2540877599","https://openalex.org/W2763081248","https://openalex.org/W2994602346","https://openalex.org/W2999905431","https://openalex.org/W3016074254","https://openalex.org/W3048143462","https://openalex.org/W3097133297","https://openalex.org/W3132923047","https://openalex.org/W3145013517","https://openalex.org/W3153305782","https://openalex.org/W4221135977","https://openalex.org/W4244393449","https://openalex.org/W4286902564","https://openalex.org/W4294921377","https://openalex.org/W4315488672","https://openalex.org/W4378498823","https://openalex.org/W4379233555","https://openalex.org/W4388919021","https://openalex.org/W6636430923","https://openalex.org/W6643576801","https://openalex.org/W6803127391","https://openalex.org/W6840254253","https://openalex.org/W6840396365","https://openalex.org/W6852867876"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2033914206","https://openalex.org/W2042327336"],"abstract_inverted_index":{"We":[0,145],"propose":[1],"and":[2,58,99,123,138,184],"analyze":[3],"a":[4,28,33,36,43,47,74,96,118,141,148,174,197],"continuous-time":[5,77],"firing-rate":[6,11,78,177],"neural":[7,79,160],"network,":[8],"the":[9,64,71,82,93,104,107,113,121,127,131,155,159,171,191],"positive":[10,97],"competitive":[12,178],"network":[13],"(PFCN),":[14],"to":[15,81,106,153,169],"tackle":[16],"sparse":[17,39,86,181],"reconstruction":[18,87,182],"problems":[19],"with":[20,183],"non-negativity":[21,186],"constraints.":[22,187],"These":[23],"problems,":[24],"which":[25],"involve":[26],"approximating":[27],"given":[29],"input":[30],"stimulus":[31],"from":[32],"dictionary":[34,122],"using":[35],"set":[37],"of":[38,50,66,73,76,85,120,150,158,162,173,176,193],"(active)":[40],"neurons,":[41],"play":[42],"key":[44],"role":[45],"in":[46,126],"wide":[48],"range":[49],"domains,":[51],"including,":[52],"for":[53,103,180],"example,":[54],"neuroscience,":[55],"signal":[56],"processing,":[57],"machine":[59],"learning.":[60],"First,":[61],"by":[62],"leveraging":[63],"theory":[65,168],"proximal":[67],"operators,":[68],"we":[69,90,110,189],"relate":[70],"equilibria":[72],"family":[75,175],"networks":[80,179],"optimal":[83],"solutions":[84],"problems.":[88],"Then":[89],"prove":[91,147],"that":[92,112,129],"PFCN":[94],"is":[95,124,134],"system":[98],"give":[100],"rigorous":[101],"conditions":[102],"convergence":[105,114,132],"equilibrium.":[108],"Specifically,":[109],"show":[111],"depends":[115],"only":[116],"on":[117],"property":[119],"linear-exponential":[125],"sense":[128],"initially,":[130],"rate":[133],"at":[135],"worst":[136],"linear":[137],"then,":[139],"after":[140],"transient,":[142],"becomes":[143],"exponential.":[144],"also":[146],"number":[149],"technical":[151],"results":[152],"assess":[154],"contractivity":[156],"properties":[157],"dynamics":[161],"interest.":[163],"Our":[164],"analysis":[165],"leverages":[166],"contraction":[167],"characterize":[170],"behavior":[172],"without":[185],"Finally,":[188],"validate":[190],"effectiveness":[192],"our":[194],"approach":[195],"via":[196],"numerical":[198],"example.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}