{"id":"https://openalex.org/W2135813035","doi":"https://doi.org/10.1109/tac.2014.2321951","title":"Extremum Problems With Total Variation Distance and Their Applications","display_name":"Extremum Problems With Total Variation Distance and Their Applications","publication_year":2014,"publication_date":"2014-05-05","ids":{"openalex":"https://openalex.org/W2135813035","doi":"https://doi.org/10.1109/tac.2014.2321951","mag":"2135813035"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2321951","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2321951","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-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/A5035087201","display_name":"Charalambos D. Charalambous","orcid":null},"institutions":[{"id":"https://openalex.org/I34771391","display_name":"University of Cyprus","ror":"https://ror.org/02qjrjx09","country_code":"CY","type":"education","lineage":["https://openalex.org/I34771391"]}],"countries":["CY"],"is_corresponding":true,"raw_author_name":"Charalambos D. Charalambous","raw_affiliation_strings":["Department of Electrical Engineering, University of Cyprus, Nicosia, Cyprus","Dept. of Electr. Eng., Univ. of Cyprus, Nicosia, Cyprus"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Univ. of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062456864","display_name":"Ioannis Tzortzis","orcid":"https://orcid.org/0000-0002-7301-6252"},"institutions":[{"id":"https://openalex.org/I34771391","display_name":"University of Cyprus","ror":"https://ror.org/02qjrjx09","country_code":"CY","type":"education","lineage":["https://openalex.org/I34771391"]}],"countries":["CY"],"is_corresponding":false,"raw_author_name":"Ioannis Tzortzis","raw_affiliation_strings":["Department of Electrical Engineering, University of Cyprus, Nicosia, Cyprus","Dept. of Electr. Eng., Univ. of Cyprus, Nicosia, Cyprus"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Univ. of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065761968","display_name":"Sergey Loyka","orcid":"https://orcid.org/0000-0002-6405-5524"},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sergey Loyka","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, University of Ottawa, Ottawa, ON, Canada","Sch. of Electr. Eng. & Comput. Sci., Univ. of Ottawa, Ottawa, ON, Canada"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, University of Ottawa, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I153718931"]},{"raw_affiliation_string":"Sch. of Electr. Eng. & Comput. Sci., Univ. of Ottawa, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I153718931"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000676115","display_name":"Themistoklis Charalambous","orcid":"https://orcid.org/0000-0003-4800-6738"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Themistoklis Charalambous","raw_affiliation_strings":["School of Electrical Engineering, Royal Institute of Technology (KTH), Stockholm, Sweden","[Sch. of Electr. Eng., R. Inst. of Technol. (KTH), Stockholm, Sweden]"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Royal Institute of Technology (KTH), Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"[Sch. of Electr. Eng., R. Inst. of Technol. (KTH), Stockholm, Sweden]","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5035087201"],"corresponding_institution_ids":["https://openalex.org/I34771391"],"apc_list":null,"apc_paid":null,"fwci":3.0304,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.91956579,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"59","issue":"9","first_page":"2353","last_page":"2368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9598000049591064,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9598000049591064,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9334999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7879514098167419},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6938940286636353},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.6371088027954102},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.6294325590133667},{"id":"https://openalex.org/keywords/fisher-information-metric","display_name":"Fisher information metric","score":0.548740804195404},{"id":"https://openalex.org/keywords/statistical-distance","display_name":"Statistical distance","score":0.5261216759681702},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.5125893950462341},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.495108038187027},{"id":"https://openalex.org/keywords/total-variation","display_name":"Total variation","score":0.4837906062602997},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4808529019355774},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.4734061658382416},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47139647603034973},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.46443068981170654},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.43822821974754333},{"id":"https://openalex.org/keywords/probability-mass-function","display_name":"Probability mass function","score":0.437500536441803},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3352280259132385},{"id":"https://openalex.org/keywords/convex-metric-space","display_name":"Convex metric space","score":0.2860414683818817},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21468356251716614},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17469897866249084}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7879514098167419},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6938940286636353},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.6371088027954102},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6294325590133667},{"id":"https://openalex.org/C127104897","wikidata":"https://www.wikidata.org/wiki/Q5454858","display_name":"Fisher information metric","level":4,"score":0.548740804195404},{"id":"https://openalex.org/C58948655","wikidata":"https://www.wikidata.org/wiki/Q7604392","display_name":"Statistical distance","level":3,"score":0.5261216759681702},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.5125893950462341},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.495108038187027},{"id":"https://openalex.org/C62100291","wikidata":"https://www.wikidata.org/wiki/Q1936288","display_name":"Total variation","level":2,"score":0.4837906062602997},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4808529019355774},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.4734061658382416},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47139647603034973},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.46443068981170654},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.43822821974754333},{"id":"https://openalex.org/C197096303","wikidata":"https://www.wikidata.org/wiki/Q869887","display_name":"Probability mass function","level":3,"score":0.437500536441803},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3352280259132385},{"id":"https://openalex.org/C196613150","wikidata":"https://www.wikidata.org/wiki/Q3966092","display_name":"Convex metric space","level":3,"score":0.2860414683818817},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21468356251716614},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17469897866249084},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":1,"locations":[{"id":"doi:10.1109/tac.2014.2321951","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2321951","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7300000190734863}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1975736346","https://openalex.org/W1990019219","https://openalex.org/W1995368377","https://openalex.org/W1995713768","https://openalex.org/W1999918998","https://openalex.org/W2004276046","https://openalex.org/W2006578230","https://openalex.org/W2029487212","https://openalex.org/W2032558547","https://openalex.org/W2032916024","https://openalex.org/W2071723512","https://openalex.org/W2091891040","https://openalex.org/W2098432798","https://openalex.org/W2099111195","https://openalex.org/W2102762459","https://openalex.org/W2113151258","https://openalex.org/W2119127629","https://openalex.org/W2133186968","https://openalex.org/W2137586026","https://openalex.org/W2141821001","https://openalex.org/W2141844446","https://openalex.org/W2160392227","https://openalex.org/W2178973532","https://openalex.org/W2500981584","https://openalex.org/W2502318419","https://openalex.org/W2797937785","https://openalex.org/W4252028749","https://openalex.org/W7018102218"],"related_works":["https://openalex.org/W1484071118","https://openalex.org/W2921455779","https://openalex.org/W2183396261","https://openalex.org/W4231500410","https://openalex.org/W294217955","https://openalex.org/W2810673136","https://openalex.org/W2065056154","https://openalex.org/W4233290694","https://openalex.org/W3021870533","https://openalex.org/W2135813035"],"abstract_inverted_index":{"The":[0,86],"aim":[1],"of":[2,22,33,43,60,72,79,131,152,167],"this":[3],"paper":[4],"is":[5],"to":[6,26,144],"investigate":[7],"extremum":[8,57,81,119],"problems":[9,62,120,166],"with":[10,40,114],"pay-off":[11],"being":[12],"the":[13,20,31,41,56,70,73,77,84,103,115],"total":[14,44,145,156],"variation":[15,45,146,157],"distance":[16,147,158],"metric":[17,46,96,148],"defined":[18],"on":[19,30,83],"space":[21,32],"probability":[23,34,58,132,137,153],"measures,":[24,35,55],"subject":[25,143],"linear":[27,48],"functional":[28,49],"constraints":[29],"and":[36,47,76,163,171],"vice-versa;":[37],"that":[38],"is,":[39],"roles":[42],"interchanged.":[50],"Utilizing":[51],"concepts":[52],"from":[53],"signed":[54],"measures":[59,82],"such":[61,126],"are":[63,88,107],"obtained":[64],"in":[65,123,164],"closed":[66],"form,":[67],"by":[68,134,155],"identifying":[69],"partition":[71],"support":[74],"set":[75],"mass":[78],"these":[80],"partition.":[85],"results":[87],"derived":[89],"for":[90,110],"abstract":[91],"spaces;":[92],"specifically,":[93],"complete":[94],"separable":[95],"spaces":[97,112],"known":[98],"as":[99],"Polish":[100],"spaces,":[101],"while":[102],"high":[104],"level":[105],"ideas":[106],"also":[108],"discussed":[109],"denumerable":[111],"endowed":[113],"discrete":[116],"topology.":[117],"These":[118],"often":[121],"arise":[122],"many":[124,165],"areas,":[125],"as,":[127],"approximating":[128],"a":[129,135],"family":[130],"distributions":[133,154],"given":[136],"distribution,":[138],"maximizing":[139],"or":[140],"minimizing":[141],"entropy":[142],"constraints,":[149],"quantifying":[150],"uncertainty":[151],"metric,":[159],"stochastic":[160],"minimax":[161,172],"control,":[162],"information,":[168],"decision":[169],"theory,":[170],"theory.":[173]},"counts_by_year":[{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}