{"id":"https://openalex.org/W2013439598","doi":"https://doi.org/10.1109/itw.2012.6404649","title":"On Witsenhausen's counterexample: The asymptotic vector case","display_name":"On Witsenhausen's counterexample: The asymptotic vector case","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W2013439598","doi":"https://doi.org/10.1109/itw.2012.6404649","mag":"2013439598"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2012.6404649","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404649","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","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/A5059355632","display_name":"Chiranjib Choudhuri","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chiranjib Choudhuri","raw_affiliation_strings":["Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA","Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, 90089, USA"],"affiliations":[{"raw_affiliation_string":"Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, 90089, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072739163","display_name":"Urbashi Mitra","orcid":"https://orcid.org/0000-0002-8896-1177"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Urbashi Mitra","raw_affiliation_strings":["Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA","Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, 90089, USA"],"affiliations":[{"raw_affiliation_string":"Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, 90089, USA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059355632"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":2.2095,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.88346513,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"162","last_page":"166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9972000122070312,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/counterexample","display_name":"Counterexample","score":0.9849425554275513},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6568302512168884},{"id":"https://openalex.org/keywords/rate\u2013distortion-theory","display_name":"Rate\u2013distortion theory","score":0.591834306716919},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.5841131806373596},{"id":"https://openalex.org/keywords/dirty-paper-coding","display_name":"Dirty paper coding","score":0.5663703680038452},{"id":"https://openalex.org/keywords/intuition","display_name":"Intuition","score":0.5121393203735352},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4850448966026306},{"id":"https://openalex.org/keywords/rate-distortion","display_name":"Rate distortion","score":0.4575386047363281},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.41438543796539307},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39213040471076965},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3598789572715759},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3312312960624695},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32430166006088257},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26145005226135254},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09235483407974243},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.07398778200149536},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07210102677345276},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.06278437376022339}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.9849425554275513},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6568302512168884},{"id":"https://openalex.org/C64185310","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate\u2013distortion theory","level":3,"score":0.591834306716919},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.5841131806373596},{"id":"https://openalex.org/C2780186295","wikidata":"https://www.wikidata.org/wiki/Q3305007","display_name":"Dirty paper coding","level":5,"score":0.5663703680038452},{"id":"https://openalex.org/C132010649","wikidata":"https://www.wikidata.org/wiki/Q189222","display_name":"Intuition","level":2,"score":0.5121393203735352},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4850448966026306},{"id":"https://openalex.org/C2982755384","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate distortion","level":3,"score":0.4575386047363281},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41438543796539307},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39213040471076965},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3598789572715759},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3312312960624695},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32430166006088257},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26145005226135254},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09235483407974243},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.07398778200149536},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07210102677345276},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06278437376022339},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2012.6404649","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404649","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4300000071525574}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W156752663","https://openalex.org/W1964538510","https://openalex.org/W1976109068","https://openalex.org/W2013439598","https://openalex.org/W2020595357","https://openalex.org/W2053347799","https://openalex.org/W2069525910","https://openalex.org/W2111616148","https://openalex.org/W2112537312","https://openalex.org/W2115485545","https://openalex.org/W2118152952","https://openalex.org/W2121750965","https://openalex.org/W2127244382","https://openalex.org/W2136135636","https://openalex.org/W2165258662","https://openalex.org/W2178161518","https://openalex.org/W2294707751","https://openalex.org/W3100170933","https://openalex.org/W6678955943"],"related_works":["https://openalex.org/W1413489299","https://openalex.org/W2148508315","https://openalex.org/W2120182993","https://openalex.org/W2101208289","https://openalex.org/W2050833135","https://openalex.org/W2020595357","https://openalex.org/W2587249265","https://openalex.org/W2013439598","https://openalex.org/W2105539011","https://openalex.org/W2015949613"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"the":[2,10,36,46,51,54,61,72,76,80,89,109],"presence":[3],"of":[4,13,53,79,98],"an":[5],"implicit":[6,16,55],"communication":[7],"channel":[8],"in":[9,49,106],"asymptotic":[11,77],"version":[12,78],"Witsenhausen's":[14],"counterexample,":[15],"discrete":[17,22],"memoryless":[18,23],"channels":[19],"(IDMC)":[20],"with":[21,63],"(DM)":[24],"states":[25],"are":[26,43],"considered.":[27],"Information-theoretic":[28],"lower":[29],"and":[30,41,91,101],"upper":[31],"bounds":[32],"(based":[33],"respectively":[34],"on":[35,45],"ideas":[37],"from":[38,60],"rate-distortion":[39],"theory":[40],"hybrid-coding)":[42],"derived":[44],"optimal":[47,73],"distortion":[48,74,85],"estimating":[50],"input":[52],"channel.":[56],"The":[57,83],"intuition":[58],"gained":[59],"DMIC":[62],"DM":[64],"state":[65],"model":[66],"is":[67,86,93],"then":[68],"used":[69],"to":[70],"evaluate":[71],"for":[75,88],"Witsenhausen":[81],"counterexample.":[82],"minimum":[84,110],"characterized":[87],"counterexample":[90],"it":[92],"shown":[94],"that":[95],"a":[96],"combination":[97],"linear":[99],"coding":[100,103],"dirty-paper":[102],"(DPC)":[104],"proposed":[105],"[1]":[107],"achieves":[108],"distortion.":[111]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
