{"id":"https://openalex.org/W4327774079","doi":"https://doi.org/10.1109/icrc57508.2022.00019","title":"Equivalence of Coupled Parametric Oscillator Dynamics to Lagrange Multiplier Optimization","display_name":"Equivalence of Coupled Parametric Oscillator Dynamics to Lagrange Multiplier Optimization","publication_year":2022,"publication_date":"2022-12-01","ids":{"openalex":"https://openalex.org/W4327774079","doi":"https://doi.org/10.1109/icrc57508.2022.00019"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/icrc57508.2022.00019","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5060758190","display_name":"Sri Krishna Vadlamani","orcid":"https://orcid.org/0000-0003-4602-0771"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sri Krishna Vadlamani","raw_affiliation_strings":["Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011371394","display_name":"T. Patrick Xiao","orcid":"https://orcid.org/0000-0001-9066-2961"},"institutions":[{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tianyao Patrick Xiao","raw_affiliation_strings":["Sandia National Laboratories, Albuquerque, NM, USA"],"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, Albuquerque, NM, USA","institution_ids":["https://openalex.org/I4210104735"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017829753","display_name":"Eli Yablonovitch","orcid":"https://orcid.org/0000-0002-5724-3375"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eli Yablonovitch","raw_affiliation_strings":["Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.173,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.424962,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":61,"max":71},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing and Simulation","score":0.9997,"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 and Simulation","score":0.9997,"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/T12611","display_name":"Photonic Reservoir Computing for Neural Computation","score":0.9985,"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/T10502","display_name":"Memristive Devices for Neuromorphic Computing","score":0.9984,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5303876},{"id":"https://openalex.org/keywords/optoelectronic-reservoir-computing","display_name":"Optoelectronic Reservoir Computing","score":0.515344},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5129432},{"id":"https://openalex.org/keywords/nonlinear-dynamics","display_name":"Nonlinear Dynamics","score":0.504811},{"id":"https://openalex.org/keywords/relaxation-oscillator","display_name":"Relaxation oscillator","score":0.43823034}],"concepts":[{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.73953176},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.58066416},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5434156},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5303876},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5246725},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5129432},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.44832885},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.44489425},{"id":"https://openalex.org/C135854075","wikidata":"https://www.wikidata.org/wiki/Q1421688","display_name":"Relaxation oscillator","level":4,"score":0.43823034},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41853863},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41773325},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39373964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35070974},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32545775},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28902337},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.25540352},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.110993564},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C5291336","wikidata":"https://www.wikidata.org/wiki/Q852341","display_name":"Voltage-controlled oscillator","level":3,"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/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/icrc57508.2022.00019","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation","award_id":"ECCS-0939514"}],"datasets":[],"versions":[],"referenced_works_count":40,"referenced_works":["https://openalex.org/W1985123706","https://openalex.org/W2024860775","https://openalex.org/W2030586674","https://openalex.org/W2039122980","https://openalex.org/W2042214415","https://openalex.org/W2042545232","https://openalex.org/W2064939459","https://openalex.org/W2331737637","https://openalex.org/W2342179999","https://openalex.org/W2401610261","https://openalex.org/W2533968486","https://openalex.org/W2743455512","https://openalex.org/W2899130070","https://openalex.org/W2900821925","https://openalex.org/W2921525502","https://openalex.org/W2938847643","https://openalex.org/W2947189577","https://openalex.org/W2963700037","https://openalex.org/W2966712240","https://openalex.org/W2972331041","https://openalex.org/W2973749712","https://openalex.org/W2980708903","https://openalex.org/W2988559779","https://openalex.org/W2999779439","https://openalex.org/W3040303671","https://openalex.org/W3092309919","https://openalex.org/W3099292300","https://openalex.org/W3099679779","https://openalex.org/W3101291997","https://openalex.org/W3101667202","https://openalex.org/W3103030027","https://openalex.org/W3136346278","https://openalex.org/W3184554868","https://openalex.org/W3193269410","https://openalex.org/W4210580908","https://openalex.org/W4225291083","https://openalex.org/W4226091589","https://openalex.org/W4242209908","https://openalex.org/W4250589301","https://openalex.org/W4288049892"],"related_works":["https://openalex.org/W4294739181","https://openalex.org/W3209065746","https://openalex.org/W3123416417","https://openalex.org/W2769044287","https://openalex.org/W2474851184","https://openalex.org/W2162341969","https://openalex.org/W2042942757","https://openalex.org/W2032335796","https://openalex.org/W2006336561","https://openalex.org/W1506406764"],"abstract_inverted_index":{"Physical":[0],"machines":[1],"can":[2,121],"solve":[3],"optimization":[4,83],"problems,":[5],"employing":[6],"the":[7,23,49,64,70,82,92,97,101,105,133,136,151],"maximization":[8],"or":[9],"minimization":[10],"principles":[11],"that":[12,26,39,48,145],"are":[13],"built":[14],"into":[15],"physics.":[16],"We":[17,46,131],"present":[18],"a":[19,30],"dynamical":[20],"solver":[21],"for":[22,96],"Ising":[24,66],"problem":[25],"is":[27,57,114,148],"comprised":[28],"of":[29,32,94,108,127,135],"network":[31],"coupled":[33,98,128,137],"bistable":[34],"parametric":[35,60,129],"oscillators":[36,99],"and":[37,100,143],"show":[38,47],"it":[40,120],"implements":[41],"Lagrange":[42,109],"multiplier":[43],"constrained":[44],"optimization.":[45],"$2\\omega$":[52],"pump":[53],"depletion":[54],"effect,":[55],"which":[56],"intrinsic":[58],"to":[59,75,77,81,124,150],"oscillators,":[61,119],"automatically":[62],"enforces":[63],"binary":[65,79],"constraints.":[67],"This":[68],"enables":[69],"system's":[71],"continuous":[72],"analog":[73],"variables":[74],"converge":[76],"high-quality":[78],"solutions":[80],"problem.":[84],"Moreover,":[85],"we":[86],"establish":[87],"an":[88],"exact":[89],"correspondence":[90],"between":[91],"equations":[93],"motion":[95],"update":[102],"rules":[103],"in":[104],"primal-dual":[106],"method":[107],"multipliers.":[110],"Though":[111],"our":[112],"analysis":[113],"performed":[115],"using":[116],"electrical":[117],"LC":[118],"be":[122],"generalized":[123],"any":[125],"system":[126,139],"oscillators.":[130],"simulate":[132],"dynamics":[134],"oscillator":[138],"on":[140],"benchmark":[141],"problems":[142],"demonstrate":[144],"its":[146],"performance":[147],"comparable":[149],"best-known":[152],"results.":[153]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4327774079","counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2024-11-27T22:27:09.735918","created_date":"2023-03-19"}