{"id":"https://openalex.org/W2784203813","doi":"https://doi.org/10.1109/allerton.2017.8262852","title":"Algebraic properties of solutions to common information of Gaussian vectors under sparse graphical constraints","display_name":"Algebraic properties of solutions to common information of Gaussian vectors under sparse graphical constraints","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2784203813","doi":"https://doi.org/10.1109/allerton.2017.8262852","mag":"2784203813"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2017.8262852","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262852","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th 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/A5014229678","display_name":"Ali Moharrer","orcid":null},"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":true,"raw_author_name":"Ali Moharrer","raw_affiliation_strings":["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, LA, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"last","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, LA, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Louisiana State University, Baton Rouge, LA, USA","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014229678"],"corresponding_institution_ids":["https://openalex.org/I121820613"],"apc_list":null,"apc_paid":null,"fwci":0.4858,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71664469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":null,"first_page":"1040","last_page":"1047"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9921000003814697,"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"}},"topics":[{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9921000003814697,"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"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9799000024795532,"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/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9754999876022339,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.7404731512069702},{"id":"https://openalex.org/keywords/graphical-model","display_name":"Graphical model","score":0.630715548992157},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.6257166862487793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5429468154907227},{"id":"https://openalex.org/keywords/gaussian-random-field","display_name":"Gaussian random field","score":0.5310680866241455},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.5175908803939819},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.4300978183746338},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.42178624868392944},{"id":"https://openalex.org/keywords/latent-variable","display_name":"Latent variable","score":0.41728609800338745},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3989393711090088},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3984741270542145},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.3970426321029663},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3907798230648041},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35265472531318665},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33775752782821655},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11944574117660522}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.7404731512069702},{"id":"https://openalex.org/C155846161","wikidata":"https://www.wikidata.org/wiki/Q1143367","display_name":"Graphical model","level":2,"score":0.630715548992157},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6257166862487793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5429468154907227},{"id":"https://openalex.org/C51267290","wikidata":"https://www.wikidata.org/wiki/Q5527848","display_name":"Gaussian random field","level":4,"score":0.5310680866241455},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.5175908803939819},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.4300978183746338},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.42178624868392944},{"id":"https://openalex.org/C51167844","wikidata":"https://www.wikidata.org/wiki/Q4422623","display_name":"Latent variable","level":2,"score":0.41728609800338745},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3989393711090088},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3984741270542145},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.3970426321029663},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3907798230648041},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35265472531318665},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33775752782821655},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11944574117660522},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/allerton.2017.8262852","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262852","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:digitalcommons.lsu.edu:eecs_pubs-2187","is_oa":false,"landing_page_url":"https://digitalcommons.lsu.edu/eecs_pubs/1185","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"},{"id":"pmh:oai:repository.lsu.edu:eecs_pubs-2187","is_oa":false,"landing_page_url":"https://repository.lsu.edu/eecs_pubs/1185","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":27,"referenced_works":["https://openalex.org/W1662534456","https://openalex.org/W1901718207","https://openalex.org/W1968135884","https://openalex.org/W1968398095","https://openalex.org/W1973488313","https://openalex.org/W1998812578","https://openalex.org/W2000432226","https://openalex.org/W2024318675","https://openalex.org/W2043976992","https://openalex.org/W2097706568","https://openalex.org/W2113642685","https://openalex.org/W2141432745","https://openalex.org/W2150546315","https://openalex.org/W2156858248","https://openalex.org/W2162635854","https://openalex.org/W2244961551","https://openalex.org/W2318268761","https://openalex.org/W2342676922","https://openalex.org/W2417541697","https://openalex.org/W2511341304","https://openalex.org/W2553864996","https://openalex.org/W2739664450","https://openalex.org/W2744268881","https://openalex.org/W2962816867","https://openalex.org/W4300167274","https://openalex.org/W6629574937","https://openalex.org/W6674647444"],"related_works":["https://openalex.org/W2106257677","https://openalex.org/W2964321162","https://openalex.org/W4322716735","https://openalex.org/W2403056420","https://openalex.org/W1970319972","https://openalex.org/W2407741847","https://openalex.org/W2099754143","https://openalex.org/W4294204960","https://openalex.org/W2994466841","https://openalex.org/W2112030392"],"abstract_inverted_index":{"We":[0,18,41,70],"formulate":[1],"Wyner's":[2],"common":[3,23],"information":[4,24],"for":[5,122,144],"random":[6],"vectors":[7,27],"x":[8],"\u03f5":[9],"R":[10],"<sup":[11],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[12],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[13],"with":[14,60,116],"joint":[15],"Gaussian":[16,26,37,85,90,94,107,138],"density.":[17],"show":[19,98],"that":[20,99,137],"finding":[21],"the":[22,35,72,117,150],"of":[25,34,57,75,149,152],"is":[28,68],"equivalent":[29],"to":[30],"maximizing":[31],"a":[32,47,106],"log-determinant":[33],"additive":[36],"noise":[38],"covariance":[39,103],"matrix.":[40],"coin":[42],"such":[43,58],"optimization":[44],"problem":[45,59],"as":[46,125],"constrained":[48],"minimum":[49],"determinant":[50],"factor":[51],"analysis":[52],"(CMDFA)":[53],"problem.":[54],"The":[55],"convexity":[56],"necessary":[61],"and":[62,92,120],"sufficient":[63],"conditions":[64],"on":[65,101],"CMDFA":[66,76,123,158],"solution":[67,77,124],"shown.":[69],"study":[71,82],"algebraic":[73],"properties":[74],"space,":[78],"through":[79],"which":[80],"we":[81,97],"two":[83],"sparse":[84],"graphical":[86,108,129],"models,":[87],"namely,":[88],"latent":[89,153],"stars,":[91],"explicit":[93],"chains.":[95],"Interestingly,":[96],"depending":[100],"pairwise":[102],"values":[104],"in":[105,147,156],"structure,":[109],"one":[110],"may":[111],"not":[112],"always":[113],"end":[114],"up":[115],"same":[118],"parameters":[119],"structure":[121],"those":[126],"found":[127],"via":[128],"learning":[130],"algorithms.":[131],"In":[132],"addition,":[133],"our":[134],"results":[135],"suggest":[136],"chains":[139],"have":[140],"little":[141],"room":[142],"left":[143],"dimension":[145],"reduction":[146],"terms":[148],"number":[151],"variables":[154],"required":[155],"their":[157],"solutions.":[159]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
