{"id":"https://openalex.org/W2782940346","doi":"https://doi.org/10.1109/cdc.2017.8264401","title":"A local search algorithm for the Witsenhausen's counterexample","display_name":"A local search algorithm for the Witsenhausen's counterexample","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2782940346","doi":"https://doi.org/10.1109/cdc.2017.8264401","mag":"2782940346"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2017.8264401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5054115676","display_name":"Shih-Hao Tseng","orcid":"https://orcid.org/0000-0003-2376-9333"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shih-Hao Tseng","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103277656","display_name":"Ao Tang","orcid":"https://orcid.org/0000-0001-6296-644X"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ao Tang","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054115676"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":null,"apc_paid":null,"fwci":0.5601,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.72419333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"1","issue":null,"first_page":"5014","last_page":"5019"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9914000034332275,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.9249622821807861},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6992987394332886},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6329754590988159},{"id":"https://openalex.org/keywords/sigmoid-function","display_name":"Sigmoid function","score":0.5766770243644714},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5461099147796631},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5380650758743286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5184156894683838},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5061518549919128},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43535780906677246},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4030686020851135},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.10054168105125427},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09714370965957642}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.9249622821807861},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6992987394332886},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6329754590988159},{"id":"https://openalex.org/C81388566","wikidata":"https://www.wikidata.org/wiki/Q526668","display_name":"Sigmoid function","level":3,"score":0.5766770243644714},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5461099147796631},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5380650758743286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5184156894683838},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5061518549919128},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43535780906677246},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4030686020851135},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.10054168105125427},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09714370965957642},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2017.8264401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W156752663","https://openalex.org/W1549181654","https://openalex.org/W1964566761","https://openalex.org/W2010701573","https://openalex.org/W2066674932","https://openalex.org/W2069525910","https://openalex.org/W2088079871","https://openalex.org/W2098432798","https://openalex.org/W2100288479","https://openalex.org/W2115485545","https://openalex.org/W2118152952","https://openalex.org/W2118318050","https://openalex.org/W2134582956","https://openalex.org/W2146572375","https://openalex.org/W2147378124","https://openalex.org/W2151716818","https://openalex.org/W2164680743","https://openalex.org/W2178161518","https://openalex.org/W2964014792","https://openalex.org/W6633014949"],"related_works":["https://openalex.org/W2349952486","https://openalex.org/W1489260687","https://openalex.org/W3204670144","https://openalex.org/W2163101548","https://openalex.org/W1988934358","https://openalex.org/W2587222766","https://openalex.org/W4387718369","https://openalex.org/W3014450817","https://openalex.org/W1547366466","https://openalex.org/W1612268863"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,22,71,140],"local":[3],"search":[4],"algorithm":[5,30,90],"to":[6,131,147],"find":[7],"an":[8],"optimal":[9],"controller":[10],"of":[11,46,61,74,106,142],"the":[12,29,34,44,47,58,62,80,96,107,134,148,151,157],"Witsenhausen's":[13,81],"counterexample,":[14],"which":[15],"still":[16],"remains":[17],"unknown.":[18],"Via":[19],"variational":[20],"analysis,":[21],"few":[23],"necessary":[24],"conditions":[25],"are":[26,145],"derived,":[27],"and":[28,123,150],"is":[31,68,114],"guided":[32],"by":[33],"conditions.":[35],"The":[36],"analysis":[37],"does":[38,52],"not":[39,115],"require":[40],"preliminary":[41],"knowledge":[42],"about":[43,57],"property":[45],"target":[48],"cost":[49,136],"function,":[50],"nor":[51],"it":[53,113],"make":[54],"any":[55],"assumption":[56],"functional":[59],"form":[60],"controller.":[63],"As":[64],"such,":[65],"our":[66,89],"method":[67],"applicable":[69],"for":[70],"wide":[72],"range":[73],"problems":[75],"with":[76],"similar":[77],"structures":[78],"as":[79,133,156],"counterexample.":[82],"Through":[83],"numerical":[84],"simulations,":[85],"we":[86],"demonstrate":[87],"that":[88,112,124],"outperforms":[91],"all":[92],"previous":[93],"results":[94,100,153],"on":[95],"benchmark":[97],"case.":[98],"Our":[99],"also":[101],"manifest":[102],"some":[103],"structural":[104],"properties":[105],"first-stage":[108,135],"state":[109],"variable,":[110],"including":[111],"piecewise":[116],"affine":[117],"but":[118],"nonlinear":[119],"within":[120],"each":[121],"step,":[122],"its":[125],"shape":[126],"changes":[127],"from":[128],"picewise":[129],"continuous":[130],"sigmoid-like":[132],"coefficient":[137],"increases.":[138],"Furthermore,":[139],"variety":[141],"parameter":[143,166],"settings":[144],"fed":[146],"algorithm,":[149],"generated":[152],"can":[154],"serve":[155],"best":[158],"upper":[159],"bounds":[160],"known":[161],"thus":[162],"far":[163],"under":[164],"those":[165],"settings.":[167]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
