{"id":"https://openalex.org/W2799732647","doi":"https://doi.org/10.1109/tnnls.2018.2817367","title":"Decentralized Global Optimization Based on a Growth Transform Dynamical System Model","display_name":"Decentralized Global Optimization Based on a Growth Transform Dynamical System Model","publication_year":2018,"publication_date":"2018-04-16","ids":{"openalex":"https://openalex.org/W2799732647","doi":"https://doi.org/10.1109/tnnls.2018.2817367","mag":"2799732647","pmid":"https://pubmed.ncbi.nlm.nih.gov/29993647"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2018.2817367","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2018.2817367","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","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/A5022411137","display_name":"Oindrila Chatterjee","orcid":"https://orcid.org/0000-0001-7830-5304"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Oindrila Chatterjee","raw_affiliation_strings":["Department of Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, MO, USA"],"raw_orcid":"https://orcid.org/0000-0001-7830-5304","affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034498144","display_name":"Shantanu Chakrabartty","orcid":"https://orcid.org/0000-0002-1688-6286"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shantanu Chakrabartty","raw_affiliation_strings":["Department of Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, MO, USA"],"raw_orcid":"https://orcid.org/0000-0002-1688-6286","affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204465549"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":2.4084,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.91025356,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"29","issue":"12","first_page":"6052","last_page":"6061"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9864000082015991,"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"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9864000082015991,"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"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6599136590957642},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.6443809270858765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6084745526313782},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5989780426025391},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.586921751499176},{"id":"https://openalex.org/keywords/simulated-annealing","display_name":"Simulated annealing","score":0.5861157178878784},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5332992076873779},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.525233268737793},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.505631685256958},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4501759707927704},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26378920674324036},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26192712783813477},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0902235209941864}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6599136590957642},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.6443809270858765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6084745526313782},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5989780426025391},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.586921751499176},{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.5861157178878784},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5332992076873779},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.525233268737793},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.505631685256958},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4501759707927704},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26378920674324036},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26192712783813477},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0902235209941864},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2018.2817367","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2018.2817367","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:29993647","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29993647","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":"IEEE transactions on neural networks and learning systems","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.7099999785423279}],"awards":[{"id":"https://openalex.org/G1396484196","display_name":null,"funder_award_id":"CSR 140527","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4349089330","display_name":"Scavenging Thermal-noise Energy and Quantum Fluctuations for Self-powered Time-stamping and Sensing","funder_award_id":"1550096","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W1555689267","https://openalex.org/W1567923445","https://openalex.org/W1577338488","https://openalex.org/W1597286183","https://openalex.org/W1647616580","https://openalex.org/W1665214252","https://openalex.org/W1970006170","https://openalex.org/W1980289135","https://openalex.org/W1982157348","https://openalex.org/W1988874714","https://openalex.org/W1994697081","https://openalex.org/W1997603681","https://openalex.org/W2006688715","https://openalex.org/W2024060531","https://openalex.org/W2024860775","https://openalex.org/W2028415754","https://openalex.org/W2030083295","https://openalex.org/W2032005922","https://openalex.org/W2042249109","https://openalex.org/W2042492924","https://openalex.org/W2058580716","https://openalex.org/W2066500891","https://openalex.org/W2067771275","https://openalex.org/W2071764857","https://openalex.org/W2083710066","https://openalex.org/W2084118161","https://openalex.org/W2084237314","https://openalex.org/W2086022424","https://openalex.org/W2086039575","https://openalex.org/W2105614108","https://openalex.org/W2115130110","https://openalex.org/W2126922170","https://openalex.org/W2131869707","https://openalex.org/W2133776435","https://openalex.org/W2135194391","https://openalex.org/W2137092694","https://openalex.org/W2141700268","https://openalex.org/W2143736538","https://openalex.org/W2154861644","https://openalex.org/W2155698183","https://openalex.org/W2163605009","https://openalex.org/W2293347166","https://openalex.org/W2301746362","https://openalex.org/W2327775640","https://openalex.org/W2344065846","https://openalex.org/W2513228678","https://openalex.org/W2593019179","https://openalex.org/W2605496691","https://openalex.org/W2997505545","https://openalex.org/W3098384043","https://openalex.org/W4206315045","https://openalex.org/W4211075026","https://openalex.org/W4236463097","https://openalex.org/W4249641427","https://openalex.org/W4293820388","https://openalex.org/W6633323278","https://openalex.org/W6637242042","https://openalex.org/W6680687782","https://openalex.org/W6684191040"],"related_works":["https://openalex.org/W2460653416","https://openalex.org/W4250831671","https://openalex.org/W2230606337","https://openalex.org/W1996688253","https://openalex.org/W2376963458","https://openalex.org/W1738396641","https://openalex.org/W2072007498","https://openalex.org/W2089869689","https://openalex.org/W2153069918","https://openalex.org/W4388681848"],"abstract_inverted_index":{"Conservation":[0],"principles,":[1],"such":[2,172],"as":[3,173],"conservation":[4,69],"of":[5,75,97,109,112,123,139,155],"charge,":[6],"energy,":[7],"or":[8,47,163,185],"mass,":[9],"provide":[10,106],"a":[11,26,57,64,68,72,79,87,127,136],"natural":[12],"way":[13],"to":[14,196],"couple":[15],"and":[16,37,119,175,201],"constrain":[17],"spatially":[18,156],"separated":[19,157],"variables.":[20],"In":[21,102],"this":[22,103],"paper,":[23,104],"we":[24,105,133],"propose":[25],"dynamical":[27,116,142,189],"system":[28,117,143,190],"model":[29,118,125,191],"that":[30,90],"exploits":[31],"these":[32],"constraints":[33],"for":[34,114,147],"solving":[35],"nonconvex":[36],"discrete":[38,137],"global":[39,50,95],"optimization":[40,51,130,150],"problems.":[41],"Unlike":[42],"the":[43,53,81,94,98,110,115,124,140],"traditional":[44],"simulated":[45],"annealing":[46],"quantum":[48],"annealing-based":[49],"techniques,":[52],"proposed":[54,141,188],"method":[55],"optimizes":[56],"target":[58,99],"objective":[59,100],"function":[60,89],"by":[61,177],"continuously":[62],"evolving":[63],"driver":[65,82],"functional":[66,83],"over":[67],"manifold,":[70],"using":[71,126],"generalized":[73],"variant":[74,138],"growth":[76],"transformations.":[77],"As":[78],"result,":[80],"asymptotically":[84],"converges":[85],"toward":[86],"Dirac-delta":[88],"is":[91],"centered":[92],"at":[93],"optimum":[96],"function.":[101],"an":[107,153],"outline":[108],"proof":[111],"convergence":[113],"investigate":[120],"different":[121],"properties":[122],"benchmark":[128],"nonlinear":[129],"problem.":[131],"Also,":[132],"demonstrate":[134],"how":[135],"can":[144,167],"be":[145,194],"used":[146,195],"implementing":[148],"decentralized":[149],"algorithms,":[151],"where":[152],"ensemble":[154],"entities":[158],"(for":[159],"example,":[160],"biological":[161],"cells":[162],"simple":[164],"computational":[165],"units)":[166],"collectively":[168],"implement":[169,197],"specific":[170],"functions,":[171],"winner-take-all":[174],"ranking,":[176],"exchanging":[178],"signals":[179],"only":[180],"with":[181],"its":[182],"immediate":[183],"substrate":[184],"environment.":[186],"The":[187],"could":[192],"potentially":[193],"continuous-time":[198],"optimizers,":[199],"annealers,":[200],"neural":[202],"networks.":[203]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}