{"id":"https://openalex.org/W4289655214","doi":"https://doi.org/10.1109/isit50566.2022.9834365","title":"Shared Information for a Markov Chain on a Tree","display_name":"Shared Information for a Markov Chain on a Tree","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4289655214","doi":"https://doi.org/10.1109/isit50566.2022.9834365"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834365","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834365","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 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/A5070842739","display_name":"Sagnik Bhattacharya","orcid":"https://orcid.org/0000-0003-4408-6902"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sagnik Bhattacharya","raw_affiliation_strings":["University of Maryland,Department of Electrical and Computer Engineering and the Institute for Systems Research,College Park,MD,USA,20742"],"affiliations":[{"raw_affiliation_string":"University of Maryland,Department of Electrical and Computer Engineering and the Institute for Systems Research,College Park,MD,USA,20742","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102896474","display_name":"Prakash Narayan","orcid":"https://orcid.org/0000-0002-0710-6305"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Prakash Narayan","raw_affiliation_strings":["University of Maryland,Department of Electrical and Computer Engineering and the Institute for Systems Research,College Park,MD,USA,20742"],"affiliations":[{"raw_affiliation_string":"University of Maryland,Department of Electrical and Computer Engineering and the Institute for Systems Research,College Park,MD,USA,20742","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070842739"],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":0.7758,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66931217,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3049","last_page":"3054"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9980000257492065,"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.694683313369751},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.691985011100769},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.6294307708740234},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.605297863483429},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5187180638313293},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.513529360294342},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5124414563179016},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5001251697540283},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4848714768886566},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.4379197359085083},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.4227808713912964},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4193205237388611},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.4170714020729065},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4017384648323059},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.3315655589103699},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2910371422767639},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2863789200782776},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1817341148853302},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1538558304309845},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12361261248588562},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11464828252792358}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.694683313369751},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.691985011100769},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.6294307708740234},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.605297863483429},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5187180638313293},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.513529360294342},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5124414563179016},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5001251697540283},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4848714768886566},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.4379197359085083},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.4227808713912964},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4193205237388611},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.4170714020729065},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4017384648323059},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.3315655589103699},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2910371422767639},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2863789200782776},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1817341148853302},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1538558304309845},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12361261248588562},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11464828252792358},{"id":"https://openalex.org/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834365","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834365","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W114565888","https://openalex.org/W1507653385","https://openalex.org/W1516274429","https://openalex.org/W1553290137","https://openalex.org/W1570963478","https://openalex.org/W1579548224","https://openalex.org/W1969116803","https://openalex.org/W1976853087","https://openalex.org/W1989151402","https://openalex.org/W1994497608","https://openalex.org/W2014912629","https://openalex.org/W2020577110","https://openalex.org/W2023933519","https://openalex.org/W2084970147","https://openalex.org/W2095439994","https://openalex.org/W2101985079","https://openalex.org/W2114771311","https://openalex.org/W2137784959","https://openalex.org/W2141432745","https://openalex.org/W2152625085","https://openalex.org/W2154832352","https://openalex.org/W2156094048","https://openalex.org/W2157316805","https://openalex.org/W2163166770","https://openalex.org/W2176114858","https://openalex.org/W2523917704","https://openalex.org/W2570092323","https://openalex.org/W2883862410","https://openalex.org/W2950148142","https://openalex.org/W2963822511","https://openalex.org/W3104163746","https://openalex.org/W4288595842","https://openalex.org/W6630737652","https://openalex.org/W6632992360","https://openalex.org/W6647426937","https://openalex.org/W6683068184","https://openalex.org/W6758137010"],"related_works":["https://openalex.org/W2526245987","https://openalex.org/W2130519334","https://openalex.org/W4378551395","https://openalex.org/W779566600","https://openalex.org/W1985664346","https://openalex.org/W2382132287","https://openalex.org/W3113307220","https://openalex.org/W4308064958","https://openalex.org/W3217767640","https://openalex.org/W3164302780"],"abstract_inverted_index":{"Shared":[0],"information":[1],"is":[2,45],"a":[3,18,22,25,31,58],"measure":[4],"of":[5,34,38,53],"mutual":[6],"dependence":[7],"among":[8],"m":[9],"\u2265":[10],"2":[11],"jointly":[12],"distributed":[13],"discrete":[14],"random":[15],"variables.":[16],"For":[17],"Markov":[19],"chain":[20],"on":[21],"tree":[23],"with":[24],"given":[26],"joint":[27,43],"distribution,":[28],"we":[29,48],"give":[30],"new":[32],"proof":[33],"an":[35],"explicit":[36],"characterization":[37,55],"shared":[39,64],"information.":[40],"When":[41],"the":[42,50],"distribution":[44],"not":[46],"known,":[47],"exploit":[49],"special":[51],"form":[52],"this":[54],"to":[56],"provide":[57],"multiarmed":[59],"bandit":[60],"algorithm":[61],"for":[62],"estimating":[63],"information,":[65],"and":[66],"analyze":[67],"its":[68],"error":[69],"performance.":[70]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}