{"id":"https://openalex.org/W2007777576","doi":"https://doi.org/10.1109/allerton.2012.6483476","title":"Causal coding of multiple jointly Gaussian sources","display_name":"Causal coding of multiple jointly Gaussian sources","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W2007777576","doi":"https://doi.org/10.1109/allerton.2012.6483476","mag":"2007777576"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2012.6483476","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2012.6483476","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","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/A5066250905","display_name":"Mehdi Torbatian","orcid":"https://orcid.org/0000-0002-3015-820X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Mehdi Torbatian","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ONT, Canada","Department of Electrical and Computer, Engineering, University of Waterloo, Waterloo, ON, Canada N2L 3G1"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Electrical and Computer, Engineering, University of Waterloo, Waterloo, ON, Canada N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080794633","display_name":"En\u2010hui Yang","orcid":"https://orcid.org/0000-0003-1504-7584"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"En-hui Yang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ONT, Canada","Department of Electrical and Computer, Engineering, University of Waterloo, Waterloo, ON, Canada N2L 3G1"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Electrical and Computer, Engineering, University of Waterloo, Waterloo, ON, Canada N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066250905"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":0.2455,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.57832491,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2060","last_page":"2067"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5772798657417297},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5258044600486755},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4820860028266907},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.477143257856369},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3981740176677704},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37724894285202026},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3121936619281769},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1056661605834961}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5772798657417297},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5258044600486755},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4820860028266907},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.477143257856369},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3981740176677704},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37724894285202026},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3121936619281769},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1056661605834961},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2012.6483476","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2012.6483476","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","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":5,"referenced_works":["https://openalex.org/W2044655549","https://openalex.org/W2051655994","https://openalex.org/W2099242767","https://openalex.org/W2124018923","https://openalex.org/W2478708596"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W2052122378","https://openalex.org/W2544423928"],"abstract_inverted_index":{"We":[0],"consider":[1],"causal":[2,78,147],"coding":[3,79,144,148,225],"of":[4,114,117,131,149],"three":[5],"jointly":[6,71],"Gaussian":[7,72,202,232],"correlated":[8,150],"sources,":[9],"X":[10,15,20,162,167,172],"<sub":[11,16,21,163,168,173],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[12,17,22,164,169,174],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[13,165],",":[14,19,24,176],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[18,170],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sub>":[23,175],"with":[25,73,98,121,135],"a":[26,54,110,158,213],"given":[27],"covariance":[28],"matrix":[29],"and":[30,105,128,182],"determine":[31],"an":[32],"analytic":[33],"closed-form":[34],"formula":[35],"for":[36,201,229],"its":[37],"total":[38,87,193],"rate":[39,56,88,194,215],"distortion":[40,48,89],"function":[41],"subject":[42],"to":[43,57,84,100,123,137,188,216],"Mean":[44],"Square":[45],"Error":[46],"(MSE)":[47],"constraints":[49],"when":[50,153],"all":[51,101,124,138,210],"sources":[52,104,120,127,151,154,181,186,211],"need":[53,187,212],"positive":[55,214],"be":[58,189,217],"represented.":[59],"It":[60],"is":[61,81,95,195,198,220,226],"first":[62,96],"shown":[63],"that":[64,222],"the":[65,74,86,115,118,129,132,184,191,205,223],"optimal":[66],"reproduction":[67],"random":[68],"variables":[69],"are":[70],"sources.":[75,141,203,233],"A":[76],"novel":[77],"scheme":[80],"then":[82,106],"proposed":[83],"achieve":[85],"function,":[90],"in":[91,146,208],"which":[92,209],"each":[93],"source":[94,134],"whitened":[97],"respect":[99,122,136],"previous":[102,119,139],"original":[103,140],"encoded":[107,126],"via":[108],"encoding":[109],"proper":[111],"linear":[112],"combination":[113],"residues":[116],"available":[125],"residue":[130],"current":[133],"The":[142],"more-and-less":[143,224],"theorem":[145],"-":[152,197],"do":[155],"not":[156],"form":[157],"Markov":[159],"chain":[160,231],"as":[161],"\u2192":[166,171],"under":[177],"some":[178],"conditions":[179],"on":[180],"distortion,":[183],"more":[185],"encoded,":[190],"less":[192],"required":[196],"also":[199],"investigated":[200],"For":[204],"underlying":[206],"scenario":[207],"represented,":[218],"it":[219],"proved":[221],"always":[227],"revealed":[228],"non-Markov":[230]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
