{"id":"https://openalex.org/W2076624757","doi":"https://doi.org/10.1109/isit.2014.6874818","title":"Informational divergence and entropy rate on rooted trees with probabilities","display_name":"Informational divergence and entropy rate on rooted trees with probabilities","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2076624757","doi":"https://doi.org/10.1109/isit.2014.6874818","mag":"2076624757"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2014.6874818","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6874818","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1310.2882","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018466867","display_name":"Georg B\u00f6cherer","orcid":"https://orcid.org/0000-0001-9418-9921"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Georg Bocherer","raw_affiliation_strings":["Institute for Communications Engineering, Technische Universit\u00e4t M\u00fcnchen, Germany","Inst. for Commun. Eng., Tech. Univ. Munchen, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Communications Engineering, Technische Universit\u00e4t M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Inst. for Commun. Eng., Tech. Univ. Munchen, Munich, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041689212","display_name":"Rana Ali Amjad","orcid":"https://orcid.org/0000-0002-0007-4697"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rana Ali Amjad","raw_affiliation_strings":["Institute for Communications Engineering, Technische Universit\u00e4t M\u00fcnchen, Germany","Inst. for Commun. Eng., Tech. Univ. Munchen, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Communications Engineering, Technische Universit\u00e4t M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Inst. for Commun. Eng., Tech. Univ. Munchen, Munich, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018466867"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":0.3681,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.6477458,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"176","last_page":"180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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/T12029","display_name":"DNA and Biological Computing","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6615966558456421},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6304094195365906},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5528674125671387},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.528456449508667},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5222571492195129},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46396103501319885},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.4493017792701721},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.410474956035614},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40812793374061584},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11142432689666748},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.090078204870224}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6615966558456421},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6304094195365906},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5528674125671387},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.528456449508667},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5222571492195129},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46396103501319885},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.4493017792701721},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.410474956035614},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40812793374061584},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11142432689666748},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.090078204870224},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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":5,"locations":[{"id":"doi:10.1109/isit.2014.6874818","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6874818","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1310.2882","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1310.2882","pdf_url":"https://arxiv.org/pdf/1310.2882","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2076624757","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1310.2882.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:mediatum.ub.tum.de:node/1228188","is_oa":true,"landing_page_url":"http://mediatum.ub.tum.de/node?id=1228188","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"doi:10.48550/arxiv.1310.2882","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1310.2882","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1310.2882","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1310.2882","pdf_url":"https://arxiv.org/pdf/1310.2882","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W9155142","https://openalex.org/W1549664537","https://openalex.org/W2056951886","https://openalex.org/W2066571917","https://openalex.org/W2116890374","https://openalex.org/W2121212538","https://openalex.org/W2162346812","https://openalex.org/W2162635854","https://openalex.org/W2964065418","https://openalex.org/W2996041333","https://openalex.org/W4302366875"],"related_works":["https://openalex.org/W2950227920","https://openalex.org/W3208832270","https://openalex.org/W2144792840","https://openalex.org/W2014571256","https://openalex.org/W3101869288","https://openalex.org/W3080500608","https://openalex.org/W2518143623","https://openalex.org/W3042477712","https://openalex.org/W2477751107","https://openalex.org/W2137091321","https://openalex.org/W2611025529","https://openalex.org/W178286418","https://openalex.org/W2146950091","https://openalex.org/W3151951114","https://openalex.org/W2963208589","https://openalex.org/W3168012386","https://openalex.org/W2576381599","https://openalex.org/W2248553123","https://openalex.org/W3209161582","https://openalex.org/W2751986550"],"abstract_inverted_index":{"Rooted":[0],"trees":[1],"with":[2],"probabilities":[3],"are":[4],"used":[5,41],"to":[6,42],"analyze":[7],"properties":[8],"of":[9,24,35],"variable":[10],"length":[11],"codes.":[12],"A":[13],"bound":[14,31],"is":[15,32,40],"derived":[16],"on":[17],"the":[18,21],"difference":[19],"between":[20],"entropy":[22],"rates":[23],"such":[25],"codes":[26],"and":[27,39,52],"memoryless":[28],"sources.":[29],"The":[30],"in":[33],"terms":[34],"normalized":[36],"informational":[37],"divergence":[38],"derive":[43],"converses":[44],"for":[45],"exact":[46],"random":[47],"number":[48],"generation,":[49],"resolution":[50],"coding,":[51],"distribution":[53],"matching.":[54]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2022-10-05T00:00:00"}