{"id":"https://openalex.org/W2964194478","doi":"https://doi.org/10.1109/isit.2016.7541443","title":"Chernoff information of bottleneck Gaussian trees","display_name":"Chernoff information of bottleneck Gaussian trees","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2964194478","doi":"https://doi.org/10.1109/isit.2016.7541443","mag":"2964194478"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541443","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541443","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","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/A5100649275","display_name":"Binglin Li","orcid":"https://orcid.org/0000-0003-0410-7430"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Binglin Li","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, Beijing, China, 100084","Department of Electronic Engineering, Tsinghua University, Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, China, 100084","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, P. R. China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012143414","display_name":"Shuangqing Wei","orcid":"https://orcid.org/0000-0001-5913-1441"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shuangqing Wei","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, Louisiana State University, Baton Rouge, 70803, USA","School of Electrical Engineering and Computer Science, Louisiana State University, Baton Rouge, LA, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Louisiana State University, Baton Rouge, 70803, USA","institution_ids":["https://openalex.org/I121820613"]},{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Louisiana State University, Baton Rouge, LA, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100372081","display_name":"Yue Wang","orcid":"https://orcid.org/0009-0002-5038-7955"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue Wang","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, Beijing, China, 100084","Department of Electronic Engineering, Tsinghua University, Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, China, 100084","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, P. R. China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100347994","display_name":"Jian Yuan","orcid":"https://orcid.org/0000-0001-9734-6056"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Yuan","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, Beijing, China, 100084","Department of Electronic Engineering, Tsinghua University, Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, China, 100084","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, P. R. China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100649275"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":2.2571,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.89098186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"970","last_page":"974"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9700000286102295,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9700000286102295,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.968500018119812,"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/T10136","display_name":"Statistical Methods and Inference","score":0.942799985408783,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.796898603439331},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5912033319473267},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5070898532867432},{"id":"https://openalex.org/keywords/information-bottleneck-method","display_name":"Information bottleneck method","score":0.49153050780296326},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4203762710094452},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32685932517051697},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2707213759422302},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15900367498397827},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.08917003870010376}],"concepts":[{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.796898603439331},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5912033319473267},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5070898532867432},{"id":"https://openalex.org/C60008888","wikidata":"https://www.wikidata.org/wiki/Q6031013","display_name":"Information bottleneck method","level":3,"score":0.49153050780296326},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4203762710094452},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32685932517051697},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2707213759422302},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15900367498397827},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.08917003870010376},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2016.7541443","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541443","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.lsu.edu:eecs_pubs-2193","is_oa":false,"landing_page_url":"https://repository.lsu.edu/eecs_pubs/1191","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W2012575779","https://openalex.org/W2099111195","https://openalex.org/W2103985488","https://openalex.org/W2108829665","https://openalex.org/W2115446485","https://openalex.org/W2116402545","https://openalex.org/W2124988974","https://openalex.org/W2153397702","https://openalex.org/W2163166770","https://openalex.org/W2210387432","https://openalex.org/W2318268761","https://openalex.org/W2964145318","https://openalex.org/W2964194478","https://openalex.org/W3124841675","https://openalex.org/W3144145236","https://openalex.org/W6675809229"],"related_works":["https://openalex.org/W4401325445","https://openalex.org/W2622284819","https://openalex.org/W1504394672","https://openalex.org/W3089381707","https://openalex.org/W4285254085","https://openalex.org/W3034190530","https://openalex.org/W2741297526","https://openalex.org/W4295728955","https://openalex.org/W3129794609","https://openalex.org/W2949033103"],"abstract_inverted_index":{"In":[0,22,110],"this":[1,23],"paper,":[2],"our":[3,200],"objective":[4],"is":[5,41,88,115,151,162,166],"to":[6,43,59,105,117],"find":[7],"out":[8],"the":[9,46,50,61,73,89,106,122,127,147,156,170,189,193],"determining":[10],"factors":[11],"of":[12,19,126,135,142,146,172],"Chernoff":[13,47,74,113,133,177,186],"information":[14,48,75,114,134,187],"in":[15,63,199],"distinguishing":[16],"a":[17,31,82,140,175],"set":[18],"Gaussian":[20,55,66,78,96,129,137,149,179,195],"trees.":[21],"set,":[24],"each":[25],"tree":[26,67],"can":[27],"be":[28,60,118],"attained":[29],"via":[30],"subtree":[32,83],"removal":[33,84],"and":[34,85,100],"grafting":[35,86],"operation":[36,87],"from":[37,181],"another":[38],"tree.":[39],"This":[40],"equivalent":[42],"asking":[44],"for":[45],"between":[49,76,93],"most-likely":[51],"confused,":[52],"i.e.":[53],"\u201cbottleneck\u201d,":[54],"trees,":[56,97],"as":[57,91,139,197],"shown":[58,116,198],"case":[62],"ML":[64],"estimated":[65],"graphs":[68],"lately.":[69],"We":[70],"prove":[71],"that":[72,92,167],"two":[77,94,128],"trees":[79],"related":[80],"through":[81],"same":[90,157],"three-node":[95],"whose":[98],"topologies":[99],"edge":[101],"weights":[102],"are":[103],"subject":[104],"underlying":[107],"graph":[108],"operation.":[109],"addition,":[111],"such":[112],"determined":[119,154],"only":[120],"by":[121,155],"maximum":[123,158],"generalized":[124,159],"eigenvalue":[125],"covariance":[130],"matrices.":[131],"The":[132],"scalar":[136],"variables":[138,180],"result":[141],"linear":[143],"transformation":[144],"(LT)":[145],"original":[148,194],"vectors":[150],"also":[152],"uniquely":[153],"eigenvalue.":[160],"What":[161],"even":[163],"more":[164],"interesting":[165],"after":[168],"incorporating":[169],"cost":[171],"measurements":[173],"into":[174],"normalized":[176,185],"information,":[178],"LT":[182],"have":[183],"larger":[184],"than":[188],"one":[190],"based":[191],"on":[192],"vectors,":[196],"proved":[201],"bounds.":[202]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-21T06:30:42.041108","created_date":"2025-10-10T00:00:00"}