{"id":"https://openalex.org/W2051944318","doi":"https://doi.org/10.1109/tit.2012.2234824","title":"The Principle of Maximum Causal Entropy for Estimating Interacting Processes","display_name":"The Principle of Maximum Causal Entropy for Estimating Interacting Processes","publication_year":2013,"publication_date":"2013-03-13","ids":{"openalex":"https://openalex.org/W2051944318","doi":"https://doi.org/10.1109/tit.2012.2234824","mag":"2051944318"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2234824","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2234824","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5024686404","display_name":"Brian D. Ziebart","orcid":"https://orcid.org/0000-0003-4041-6871"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Brian D. Ziebart","raw_affiliation_strings":["Department of Computer Science, University of Illinois at Chicago, Chicago, IL, USA","Department of computer Science, University of Illinois at Chicago, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois at Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Department of computer Science, University of Illinois at Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112411386","display_name":"J. Andrew Bagnell","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Andrew Bagnell","raw_affiliation_strings":["School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA","[Sch. of Comput. Sci., Carnegie, Mellon Univ., Pittsburgh, PA, USA]"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"[Sch. of Comput. Sci., Carnegie, Mellon Univ., Pittsburgh, PA, USA]","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032134965","display_name":"Anind K. Dey","orcid":"https://orcid.org/0000-0002-3004-0770"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anind K. Dey","raw_affiliation_strings":["School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA","[Sch. of Comput. Sci., Carnegie, Mellon Univ., Pittsburgh, PA, USA]"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"[Sch. of Comput. Sci., Carnegie, Mellon Univ., Pittsburgh, PA, USA]","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024686404"],"corresponding_institution_ids":["https://openalex.org/I39422238"],"apc_list":null,"apc_paid":null,"fwci":3.4893,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.92843489,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"59","issue":"4","first_page":"1966","last_page":"1980"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.939300000667572,"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/T10315","display_name":"Decision-Making and Behavioral Economics","score":0.9387999773025513,"subfield":{"id":"https://openalex.org/subfields/1800","display_name":"General Decision Sciences"},"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/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.7858892679214478},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.5835269093513489},{"id":"https://openalex.org/keywords/joint-entropy","display_name":"Joint entropy","score":0.5769288539886475},{"id":"https://openalex.org/keywords/transfer-entropy","display_name":"Transfer entropy","score":0.5422247052192688},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5365367531776428},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.5329782962799072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5034207701683044},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.5017821788787842},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.4666557013988495},{"id":"https://openalex.org/keywords/conditional-probability-distribution","display_name":"Conditional probability distribution","score":0.46557849645614624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45991411805152893},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.45478689670562744},{"id":"https://openalex.org/keywords/marginal-distribution","display_name":"Marginal distribution","score":0.4445289969444275},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41414132714271545},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.2839362919330597},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22407418489456177},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.1934555172920227},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.17699354887008667},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16471225023269653}],"concepts":[{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.7858892679214478},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.5835269093513489},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.5769288539886475},{"id":"https://openalex.org/C182049051","wikidata":"https://www.wikidata.org/wiki/Q17147155","display_name":"Transfer entropy","level":3,"score":0.5422247052192688},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5365367531776428},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.5329782962799072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5034207701683044},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.5017821788787842},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.4666557013988495},{"id":"https://openalex.org/C43555835","wikidata":"https://www.wikidata.org/wiki/Q2300258","display_name":"Conditional probability distribution","level":2,"score":0.46557849645614624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45991411805152893},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.45478689670562744},{"id":"https://openalex.org/C165216359","wikidata":"https://www.wikidata.org/wiki/Q670653","display_name":"Marginal distribution","level":3,"score":0.4445289969444275},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41414132714271545},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.2839362919330597},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22407418489456177},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.1934555172920227},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.17699354887008667},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16471225023269653},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":2,"locations":[{"id":"doi:10.1109/tit.2012.2234824","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2234824","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.278.4394","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.278.4394","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ri.cmu.edu/pub_files/2013/2/ziebart2013maximum.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":91,"referenced_works":["https://openalex.org/W64088143","https://openalex.org/W1489262227","https://openalex.org/W1490410513","https://openalex.org/W1511986666","https://openalex.org/W1513695137","https://openalex.org/W1540826000","https://openalex.org/W1550812296","https://openalex.org/W1559990548","https://openalex.org/W1564803936","https://openalex.org/W1590693676","https://openalex.org/W1591675293","https://openalex.org/W1934019294","https://openalex.org/W1963649406","https://openalex.org/W1964803612","https://openalex.org/W1965555277","https://openalex.org/W1969725061","https://openalex.org/W1970916399","https://openalex.org/W1977823909","https://openalex.org/W1984454144","https://openalex.org/W1990199628","https://openalex.org/W1995875735","https://openalex.org/W1999874108","https://openalex.org/W2005391990","https://openalex.org/W2018490621","https://openalex.org/W2032558547","https://openalex.org/W2034921015","https://openalex.org/W2045980827","https://openalex.org/W2052958516","https://openalex.org/W2061562262","https://openalex.org/W2073242866","https://openalex.org/W2076337359","https://openalex.org/W2082484220","https://openalex.org/W2088686399","https://openalex.org/W2096175520","https://openalex.org/W2098774185","https://openalex.org/W2099111195","https://openalex.org/W2101821104","https://openalex.org/W2107464055","https://openalex.org/W2115450697","https://openalex.org/W2116442740","https://openalex.org/W2123277412","https://openalex.org/W2126776273","https://openalex.org/W2130926302","https://openalex.org/W2133068870","https://openalex.org/W2135017242","https://openalex.org/W2135539363","https://openalex.org/W2136104991","https://openalex.org/W2140911775","https://openalex.org/W2141744833","https://openalex.org/W2145087262","https://openalex.org/W2147544021","https://openalex.org/W2147880316","https://openalex.org/W2151322733","https://openalex.org/W2154124206","https://openalex.org/W2156216606","https://openalex.org/W2156515921","https://openalex.org/W2158231134","https://openalex.org/W2160842254","https://openalex.org/W2168614460","https://openalex.org/W2171114620","https://openalex.org/W2171805028","https://openalex.org/W2296319761","https://openalex.org/W2330024298","https://openalex.org/W2478708596","https://openalex.org/W2605898369","https://openalex.org/W2950989964","https://openalex.org/W2963584844","https://openalex.org/W2964219892","https://openalex.org/W3210839039","https://openalex.org/W4234761190","https://openalex.org/W4250589301","https://openalex.org/W4252028749","https://openalex.org/W4294091620","https://openalex.org/W6630741931","https://openalex.org/W6633543754","https://openalex.org/W6635261211","https://openalex.org/W6640267182","https://openalex.org/W6674650171","https://openalex.org/W6674884181","https://openalex.org/W6677631742","https://openalex.org/W6678075998","https://openalex.org/W6679792765","https://openalex.org/W6679945570","https://openalex.org/W6679958247","https://openalex.org/W6680277643","https://openalex.org/W6681130209","https://openalex.org/W6681478256","https://openalex.org/W6682082992","https://openalex.org/W6682239955","https://openalex.org/W6682759559","https://openalex.org/W6685306887"],"related_works":["https://openalex.org/W2889261288","https://openalex.org/W2139507220","https://openalex.org/W4242633475","https://openalex.org/W862060148","https://openalex.org/W2065107791","https://openalex.org/W2377145274","https://openalex.org/W2053566994","https://openalex.org/W3099482356","https://openalex.org/W4252827860","https://openalex.org/W2349628717"],"abstract_inverted_index":{"The":[0],"principle":[1,40],"of":[2,25,41,68],"maximum":[3,42],"entropy":[4],"provides":[5],"a":[6,61,74],"powerful":[7],"framework":[8],"for":[9,51,77],"estimating":[10,52],"joint,":[11],"conditional,":[12],"and":[13,27,84],"marginal":[14],"probability":[15],"distributions.":[16],"However,":[17],"there":[18],"are":[19],"many":[20],"important":[21],"distributions":[22],"with":[23,60],"elements":[24],"interaction":[26],"feedback":[28],"where":[29],"its":[30,58],"applicability":[31],"has":[32],"not":[33],"been":[34],"established.":[35],"This":[36],"paper":[37],"presents":[38],"the":[39,66,69],"causal":[43],"entropy-an":[44],"approach":[45,70],"based":[46,56],"on":[47,57],"directed":[48],"information":[49],"theory":[50],"an":[53],"unknown":[54],"process":[55],"interactions":[59],"known":[62],"process.":[63],"We":[64],"demonstrate":[65],"breadth":[67],"using":[71],"two":[72],"applications:":[73],"predictive":[75],"solution":[76],"inverse":[78],"optimal":[79],"control":[80],"in":[81,88],"decision":[82],"processes":[83],"computing":[85],"equilibrium":[86],"strategies":[87],"sequential":[89],"games.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
