{"id":"https://openalex.org/W2046274297","doi":"https://doi.org/10.1109/cdc.2014.7040082","title":"Approximation of Markov processes by lower dimensional processes","display_name":"Approximation of Markov processes by lower dimensional processes","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2046274297","doi":"https://doi.org/10.1109/cdc.2014.7040082","mag":"2046274297"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2014.7040082","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7040082","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/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","Department of Electrical, Engineering, University of Cyprus, Nicosia, Cyprus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]},{"raw_affiliation_string":"Department of Electrical, Engineering, University of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035087201","display_name":"Charalambos D. Charalambous","orcid":"https://orcid.org/0000-0002-2168-0231"},"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"]},{"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":["CY","SE"],"is_corresponding":false,"raw_author_name":"Charalambos D. Charalambous","raw_affiliation_strings":["Department of Electrical Engineering, University of Cyprus, Nicosia, Cyprus","School of Electrical Engineering; Royal Institute of Technology KTH; Stockholm Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]},{"raw_affiliation_string":"School of Electrical Engineering; Royal Institute of Technology KTH; Stockholm Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000676115","display_name":"Themistoklis Charalambous","orcid":"https://orcid.org/0000-0003-4800-6738"},"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"]},{"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":["CY","SE"],"is_corresponding":false,"raw_author_name":"Themistoklis Charalambous","raw_affiliation_strings":["School of Electrical Engineering, Royal Institute of Technology (KTH), Stockholm, Sweden","Department of Electrical, Engineering, University of Cyprus, Nicosia, Cyprus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Royal Institute of Technology (KTH), Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Department of Electrical, Engineering, University of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030551100","display_name":"Christoforos N. Hadjicostis","orcid":"https://orcid.org/0000-0002-1706-708X"},"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":"Christoforos N. Hadjicostis","raw_affiliation_strings":["Department of Electrical Engineering, University of Cyprus, Nicosia, Cyprus","Department of Electrical, Engineering, University of Cyprus, Nicosia, Cyprus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]},{"raw_affiliation_string":"Department of Electrical, Engineering, University of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024256519","display_name":"Mikael Johansson","orcid":"https://orcid.org/0000-0002-2237-2580"},"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":"Mikael Johansson","raw_affiliation_strings":["School of Electrical Engineering, Royal Institute of Technology (KTH), Stockholm, Sweden","School of Electrical Engineering; Royal Institute of Technology KTH; Stockholm Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Royal Institute of Technology (KTH), Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"School of Electrical Engineering; Royal Institute of Technology KTH; Stockholm Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2069,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46735201,"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":"4441","last_page":"4446"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9832000136375427,"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"}},"topics":[{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9832000136375427,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9830999970436096,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9824000000953674,"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-process","display_name":"Markov process","score":0.7300950288772583},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.569497287273407},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.477398544549942},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.4770718812942505},{"id":"https://openalex.org/keywords/markov-kernel","display_name":"Markov kernel","score":0.4722394645214081},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46922099590301514},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.46244531869888306},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.45622381567955017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4495304524898529},{"id":"https://openalex.org/keywords/aggregate","display_name":"Aggregate (composite)","score":0.4439558982849121},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4356309175491333},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.398353636264801},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37804463505744934},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.3619779348373413},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18448784947395325},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11676502227783203}],"concepts":[{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.7300950288772583},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.569497287273407},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.477398544549942},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.4770718812942505},{"id":"https://openalex.org/C106666656","wikidata":"https://www.wikidata.org/wiki/Q6771323","display_name":"Markov kernel","level":5,"score":0.4722394645214081},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46922099590301514},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.46244531869888306},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.45622381567955017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4495304524898529},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.4439558982849121},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4356309175491333},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.398353636264801},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37804463505744934},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.3619779348373413},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18448784947395325},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11676502227783203},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2014.7040082","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7040082","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.735.9162","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.735.9162","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://themistoklis.org/papers/c34.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7099999785423279,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1972141748","https://openalex.org/W1975736346","https://openalex.org/W2032558547","https://openalex.org/W2032916024","https://openalex.org/W2054658115","https://openalex.org/W2099111195","https://openalex.org/W2102098892","https://openalex.org/W2106874445","https://openalex.org/W2135813035","https://openalex.org/W2138911560","https://openalex.org/W2150844583","https://openalex.org/W2478708596","https://openalex.org/W2502318419","https://openalex.org/W2963705438","https://openalex.org/W3127518054","https://openalex.org/W6674851815"],"related_works":["https://openalex.org/W2130519334","https://openalex.org/W3216708645","https://openalex.org/W1493775604","https://openalex.org/W1976065452","https://openalex.org/W4360597163","https://openalex.org/W4240129243","https://openalex.org/W1504767525","https://openalex.org/W574890804","https://openalex.org/W1974839821","https://openalex.org/W2353444478"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"investigate":[4],"the":[5,31,35,42,45,56,68,72,79,83,90,108,116,125,130],"problem":[6],"of":[7,29,44,71,78,82,129],"aggregating":[8],"a":[9,27,52,76,103,112],"given":[10],"finite-state":[11],"Markov":[12,32,84,105],"process":[13,16,33,47,100],"by":[14,34,55],"another":[15],"with":[17],"fewer":[18],"states.":[19],"The":[20],"aggregation":[21,94],"utilizes":[22],"total":[23,57],"variation":[24,58],"distance":[25,59],"as":[26,75],"measure":[28],"discriminating":[30],"aggregate":[36,46,73,99],"process,":[37,74,106],"and":[38,107,127],"aims":[39],"to":[40,51,66,96,120,123],"maximize":[41],"entropy":[43],"invariant":[48,69,80],"probability,":[49],"subject":[50],"fidelity":[53],"described":[54],"ball.":[60],"An":[61],"iterative":[62],"algorithm":[63,117],"is":[64,102,118],"presented":[65],"compute":[67],"distribution":[70,81],"function":[77],"process.":[85],"It":[86],"turns":[87],"out":[88],"that":[89],"approximation":[91],"method":[92],"via":[93],"leads":[95],"an":[97],"optimal":[98,109],"which":[101],"hidden":[104],"solution":[110],"exhibits":[111],"water-filling":[113],"behavior.":[114],"Finally,":[115],"applied":[119],"specific":[121],"examples":[122],"illustrate":[124],"methodology":[126],"properties":[128],"approximations.":[131]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}