{"id":"https://openalex.org/W2903655844","doi":"https://doi.org/10.1109/taffc.2018.2887385","title":"A Mathematical Description of Emotional Processes and Its Potential Applications to Affective Computing","display_name":"A Mathematical Description of Emotional Processes and Its Potential Applications to Affective Computing","publication_year":2018,"publication_date":"2018-12-18","ids":{"openalex":"https://openalex.org/W2903655844","doi":"https://doi.org/10.1109/taffc.2018.2887385","mag":"2903655844"},"language":"en","primary_location":{"id":"doi:10.1109/taffc.2018.2887385","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taffc.2018.2887385","pdf_url":null,"source":{"id":"https://openalex.org/S104780363","display_name":"IEEE Transactions on Affective Computing","issn_l":"1949-3045","issn":["1949-3045","2371-9850"],"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 Affective Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11380/1201112","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029633954","display_name":"Luca Puviani","orcid":"https://orcid.org/0000-0002-1597-8373"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]},{"id":"https://openalex.org/I4210161797","display_name":"Ferrari (Italy)","ror":"https://ror.org/05p859a12","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210161797"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Luca Puviani","raw_affiliation_strings":["Department of Engineering \u201cEnzo Ferrari\u201d, University of Modena and Reggio Emilia, Modena, MO, Italy","Department of Engineering \"Enzo Ferrari\", University of Modena and Reggio Emilia, Modena, MO, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering \u201cEnzo Ferrari\u201d, University of Modena and Reggio Emilia, Modena, MO, Italy","institution_ids":["https://openalex.org/I122346577"]},{"raw_affiliation_string":"Department of Engineering \"Enzo Ferrari\", University of Modena and Reggio Emilia, Modena, MO, Italy","institution_ids":["https://openalex.org/I122346577","https://openalex.org/I4210161797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113714446","display_name":"Sidita Rama","orcid":null},"institutions":[{"id":"https://openalex.org/I4210090506","display_name":"Azienda Unita' Sanitaria Locale Di Modena","ror":"https://ror.org/0018xw886","country_code":"IT","type":"government","lineage":["https://openalex.org/I4210090506"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sidita Rama","raw_affiliation_strings":["Local Health Unit of Modena, Modena, MO, Italy"],"affiliations":[{"raw_affiliation_string":"Local Health Unit of Modena, Modena, MO, Italy","institution_ids":["https://openalex.org/I4210090506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028797938","display_name":"Giorgio M. Vitetta","orcid":"https://orcid.org/0000-0003-0543-1523"},"institutions":[{"id":"https://openalex.org/I4210161797","display_name":"Ferrari (Italy)","ror":"https://ror.org/05p859a12","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210161797"]},{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giorgio Matteo Vitetta","raw_affiliation_strings":["Department of Engineering \u201cEnzo Ferrari\u201d, University of Modena and Reggio Emilia, Modena, MO, Italy","Department of Engineering \"Enzo Ferrari\", University of Modena and Reggio Emilia, Modena, MO, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering \u201cEnzo Ferrari\u201d, University of Modena and Reggio Emilia, Modena, MO, Italy","institution_ids":["https://openalex.org/I122346577"]},{"raw_affiliation_string":"Department of Engineering \"Enzo Ferrari\", University of Modena and Reggio Emilia, Modena, MO, Italy","institution_ids":["https://openalex.org/I122346577","https://openalex.org/I4210161797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029633954"],"corresponding_institution_ids":["https://openalex.org/I122346577","https://openalex.org/I4210161797"],"apc_list":null,"apc_paid":null,"fwci":0.2177,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.64578371,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"12","issue":"3","first_page":"692","last_page":"706"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10667","display_name":"Emotion and Mood Recognition","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10667","display_name":"Emotion and Mood Recognition","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T14394","display_name":"Cognitive Science and Education Research","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/affective-computing","display_name":"Affective computing","score":0.6612393856048584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6516885161399841},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5869615077972412},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5474924445152283},{"id":"https://openalex.org/keywords/valence","display_name":"Valence (chemistry)","score":0.5396945476531982},{"id":"https://openalex.org/keywords/neurophysiology","display_name":"Neurophysiology","score":0.5351202487945557},{"id":"https://openalex.org/keywords/arousal","display_name":"Arousal","score":0.5049996972084045},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4283468723297119},{"id":"https://openalex.org/keywords/cognitive-science","display_name":"Cognitive science","score":0.39333564043045044},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3631092607975006},{"id":"https://openalex.org/keywords/cognitive-psychology","display_name":"Cognitive psychology","score":0.3535504639148712},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.2201577126979828},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.08956044912338257}],"concepts":[{"id":"https://openalex.org/C6438553","wikidata":"https://www.wikidata.org/wiki/Q1185804","display_name":"Affective computing","level":2,"score":0.6612393856048584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6516885161399841},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5869615077972412},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5474924445152283},{"id":"https://openalex.org/C168900304","wikidata":"https://www.wikidata.org/wiki/Q171407","display_name":"Valence (chemistry)","level":2,"score":0.5396945476531982},{"id":"https://openalex.org/C152478114","wikidata":"https://www.wikidata.org/wiki/Q660910","display_name":"Neurophysiology","level":2,"score":0.5351202487945557},{"id":"https://openalex.org/C36951298","wikidata":"https://www.wikidata.org/wiki/Q379784","display_name":"Arousal","level":2,"score":0.5049996972084045},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4283468723297119},{"id":"https://openalex.org/C188147891","wikidata":"https://www.wikidata.org/wiki/Q147638","display_name":"Cognitive science","level":1,"score":0.39333564043045044},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3631092607975006},{"id":"https://openalex.org/C180747234","wikidata":"https://www.wikidata.org/wiki/Q23373","display_name":"Cognitive psychology","level":1,"score":0.3535504639148712},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.2201577126979828},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.08956044912338257},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","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":2,"locations":[{"id":"doi:10.1109/taffc.2018.2887385","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taffc.2018.2887385","pdf_url":null,"source":{"id":"https://openalex.org/S104780363","display_name":"IEEE Transactions on Affective Computing","issn_l":"1949-3045","issn":["1949-3045","2371-9850"],"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 Affective Computing","raw_type":"journal-article"},{"id":"pmh:oai:iris.unimore.it:11380/1201112","is_oa":true,"landing_page_url":"http://hdl.handle.net/11380/1201112","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unimore.it:11380/1201112","is_oa":true,"landing_page_url":"http://hdl.handle.net/11380/1201112","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":91,"referenced_works":["https://openalex.org/W1418557530","https://openalex.org/W1506806321","https://openalex.org/W1523888871","https://openalex.org/W1557279451","https://openalex.org/W1583278551","https://openalex.org/W1590966113","https://openalex.org/W1594303435","https://openalex.org/W1620203002","https://openalex.org/W1763311249","https://openalex.org/W1919781602","https://openalex.org/W1941711934","https://openalex.org/W1966940075","https://openalex.org/W1969713293","https://openalex.org/W1972843844","https://openalex.org/W1973919178","https://openalex.org/W1977628053","https://openalex.org/W1979183772","https://openalex.org/W1979377847","https://openalex.org/W1979714244","https://openalex.org/W1981069818","https://openalex.org/W1984274216","https://openalex.org/W1988888968","https://openalex.org/W1992384900","https://openalex.org/W2000721204","https://openalex.org/W2004652753","https://openalex.org/W2006500980","https://openalex.org/W2006633893","https://openalex.org/W2007286834","https://openalex.org/W2013469082","https://openalex.org/W2019484776","https://openalex.org/W2022068631","https://openalex.org/W2024453189","https://openalex.org/W2025258510","https://openalex.org/W2042233841","https://openalex.org/W2052685640","https://openalex.org/W2056433817","https://openalex.org/W2058064543","https://openalex.org/W2063306756","https://openalex.org/W2064189084","https://openalex.org/W2067736047","https://openalex.org/W2076457657","https://openalex.org/W2078696200","https://openalex.org/W2084292765","https://openalex.org/W2089620540","https://openalex.org/W2093026395","https://openalex.org/W2095310830","https://openalex.org/W2115271248","https://openalex.org/W2116146623","https://openalex.org/W2117645142","https://openalex.org/W2117726420","https://openalex.org/W2119170562","https://openalex.org/W2126449078","https://openalex.org/W2130195834","https://openalex.org/W2133533277","https://openalex.org/W2136322548","https://openalex.org/W2136602820","https://openalex.org/W2138487412","https://openalex.org/W2140079265","https://openalex.org/W2148764920","https://openalex.org/W2149628368","https://openalex.org/W2156503193","https://openalex.org/W2164058388","https://openalex.org/W2164509516","https://openalex.org/W2166284043","https://openalex.org/W2169323873","https://openalex.org/W2170256757","https://openalex.org/W2222172745","https://openalex.org/W2259150040","https://openalex.org/W2276520418","https://openalex.org/W2286245765","https://openalex.org/W2295820912","https://openalex.org/W2298432510","https://openalex.org/W2300833336","https://openalex.org/W2312491913","https://openalex.org/W2333212355","https://openalex.org/W2419438565","https://openalex.org/W2436111290","https://openalex.org/W2558936386","https://openalex.org/W2743773113","https://openalex.org/W2902389077","https://openalex.org/W2953127026","https://openalex.org/W3022532439","https://openalex.org/W3041202696","https://openalex.org/W3147024458","https://openalex.org/W4210267733","https://openalex.org/W4213010815","https://openalex.org/W4237335028","https://openalex.org/W6608787115","https://openalex.org/W6633198805","https://openalex.org/W6677425461","https://openalex.org/W6697588035"],"related_works":["https://openalex.org/W4220924607","https://openalex.org/W2254301624","https://openalex.org/W3173251450","https://openalex.org/W4283359795","https://openalex.org/W2107051513","https://openalex.org/W4313646694","https://openalex.org/W2771269904","https://openalex.org/W2073208685","https://openalex.org/W4310841718","https://openalex.org/W2160410052"],"abstract_inverted_index":{"In":[0,85],"affective":[1],"computing,":[2],"machines":[3],"should":[4],"detect":[5],"and":[6,10,38,92,125],"recognize":[7],"human":[8,129],"emotions,":[9],"adapt":[11],"their":[12],"behavior":[13],"to":[14,33,39,121],"them.":[15],"Nowadays":[16],"these":[17],"objectives":[18],"are":[19,31],"mainly":[20],"achieved":[21],"through":[22],"the":[23,53,76],"exploitation":[24],"of":[25,78,102,128],"machine":[26,67],"learning":[27,68],"techniques.":[28],"These":[29],"techniques":[30],"employed":[32,70],"process":[34],"different":[35],"emotional-related":[36],"features":[37],"produce":[40],"classification":[41],"labels":[42],"or":[43],"coordinates":[44],"in":[45],"a":[46,98],"valence-arousal":[47],"space.":[48],"This":[49],"approach,":[50],"however,":[51],"ignores":[52],"neurophysiological":[54],"processes":[55,103],"governing":[56,104],"implicit":[57,105],"emotional":[58,79,106],"states":[59],"and,":[60],"consequently,":[61],"suffers":[62],"from":[63,75,89],"substantial":[64],"limitations.":[65],"Moreover,":[66,111],"methods":[69],"today":[71],"do":[72],"not":[73],"benefit":[74],"knowledge":[77],"dynamics":[80,107],"for":[81],"properly":[82],"adapting":[83],"themselves.":[84],"this":[86],"manuscript,":[87],"starting":[88],"recent":[90],"neuroscience":[91],"computational":[93],"theories,":[94],"we":[95,112],"show":[96],"how":[97,114],"simple":[99],"mathematical":[100,116],"description":[101],"can":[108,118],"be":[109,119],"developed.":[110],"discuss":[113],"our":[115],"models":[117],"exploited":[120],"improve":[122],"tracking,":[123],"estimation":[124],"active":[126],"modulation":[127],"emotions.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}