{"id":"https://openalex.org/W2134582956","doi":"https://doi.org/10.1109/cdc.2009.5400356","title":"A constant-factor approximately optimal solution to the Witsenhausen counterexample","display_name":"A constant-factor approximately optimal solution to the Witsenhausen counterexample","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2134582956","doi":"https://doi.org/10.1109/cdc.2009.5400356","mag":"2134582956"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400356","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400356","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","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/A5041367007","display_name":"Se Yong Park","orcid":null},"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":true,"raw_author_name":"Se Yong Park","raw_affiliation_strings":["EECS Department, University of California Berkeley, USA","EECS Department at UC Berkeley, USA"],"affiliations":[{"raw_affiliation_string":"EECS Department, University of California Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"EECS Department at UC Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054746425","display_name":"Pulkit Grover","orcid":"https://orcid.org/0000-0001-7651-7776"},"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":"Pulkit Grover","raw_affiliation_strings":["EECS Department, University of California Berkeley, USA","EECS Department at UC Berkeley, USA"],"affiliations":[{"raw_affiliation_string":"EECS Department, University of California Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"EECS Department at UC Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079317491","display_name":"Anant Sahai","orcid":"https://orcid.org/0000-0001-9263-7719"},"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":"Anant Sahai","raw_affiliation_strings":["EECS Department, University of California Berkeley, USA","EECS Department at UC Berkeley, USA"],"affiliations":[{"raw_affiliation_string":"EECS Department, University of California Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"EECS Department at UC Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041367007"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.7243,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75376604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"23","issue":null,"first_page":"2881","last_page":"2886"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9955999851226807,"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"}},"topics":[{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9955999851226807,"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"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9865999817848206,"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":0.8948178887367249},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.7072170972824097},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6681405901908875},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.6680999398231506},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6575693488121033},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6209226846694946},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5720682740211487},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4601458013057709},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4547646641731262},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4398714303970337},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4161616265773773},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3862989544868469},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33374279737472534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2627179026603699},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21091386675834656},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.16545900702476501},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07757687568664551}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.8948178887367249},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.7072170972824097},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6681405901908875},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.6680999398231506},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6575693488121033},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6209226846694946},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5720682740211487},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4601458013057709},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4547646641731262},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4398714303970337},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4161616265773773},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3862989544868469},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33374279737472534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2627179026603699},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21091386675834656},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.16545900702476501},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07757687568664551},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2009.5400356","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400356","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.152.4793","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.152.4793","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eecs.berkeley.edu/~sahai/Papers/CDC09Submission.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.152.7279","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.152.7279","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eecs.berkeley.edu/~sahai/Papers/CDC09Submission.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W156752663","https://openalex.org/W1504736973","https://openalex.org/W1541050834","https://openalex.org/W1622420187","https://openalex.org/W1910209878","https://openalex.org/W1964538510","https://openalex.org/W2046494998","https://openalex.org/W2069525910","https://openalex.org/W2100288479","https://openalex.org/W2106476123","https://openalex.org/W2109963441","https://openalex.org/W2112537312","https://openalex.org/W2114473301","https://openalex.org/W2115485545","https://openalex.org/W2117422895","https://openalex.org/W2117896158","https://openalex.org/W2118152952","https://openalex.org/W2123562147","https://openalex.org/W2126151527","https://openalex.org/W2127244382","https://openalex.org/W2137560895","https://openalex.org/W2147378124","https://openalex.org/W2151716818","https://openalex.org/W2157989362","https://openalex.org/W2165894964","https://openalex.org/W2178161518","https://openalex.org/W2751862591","https://openalex.org/W4230818032","https://openalex.org/W4231172027","https://openalex.org/W6630000629","https://openalex.org/W6632166390","https://openalex.org/W6683002515"],"related_works":["https://openalex.org/W2349952486","https://openalex.org/W1489260687","https://openalex.org/W2775700832","https://openalex.org/W2587222766","https://openalex.org/W3204670144","https://openalex.org/W2163101548","https://openalex.org/W1988934358","https://openalex.org/W4389574038","https://openalex.org/W4387718369","https://openalex.org/W2619014647"],"abstract_inverted_index":{"Despite":[0],"its":[1],"simplicity":[2],"(two":[3],"controllers":[4],"and":[5,56],"otherwise":[6],"LQG),":[7],"Witsenhausen's":[8,93],"counterexample":[9],"is":[10,45,72,83,89],"one":[11],"of":[12,38,76],"the":[13,39,49,60,77],"long-standing":[14],"open":[15],"problems":[16],"in":[17],"stochastic":[18],"distributed":[19],"control.":[20],"Recently,":[21],"it":[22],"was":[23],"proved":[24],"that":[25,71,88],"an":[26],"asymptotic":[27],"vector":[28],"\u00bfrelaxation\u00bf":[29],"can":[30,63],"be":[31,64],"solved":[32],"to":[33,66],"within":[34,67],"a":[35,68,84],"constant":[36,69],"factor":[37,70],"optimal":[40,61],"cost.":[41],"A":[42],"parallel":[43],"result":[44],"shown":[46],"here":[47],"for":[48,95],"original":[50],"scalar":[51],"problem.":[52],"Between":[53],"linear":[54],"strategies":[55],"explicit-signalling-based":[57],"nonlinear":[58],"strategies,":[59],"performance":[62],"obtained":[65],"uniformly":[73],"bounded":[74],"regardless":[75],"problem":[78],"parameters.":[79],"The":[80],"key":[81],"contribution":[82],"new":[85],"lower":[86],"bound":[87,94],"much":[90],"tighter":[91],"than":[92],"some":[96],"parameter":[97],"values.":[98]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}