{"id":"https://openalex.org/W4372267199","doi":"https://doi.org/10.1109/icassp49357.2023.10095778","title":"Constrained Dynamical Neural ODE for Time Series Modelling: A Case Study on Continuous Emotion Prediction","display_name":"Constrained Dynamical Neural ODE for Time Series Modelling: A Case Study on Continuous Emotion Prediction","publication_year":2023,"publication_date":"2023-05-05","ids":{"openalex":"https://openalex.org/W4372267199","doi":"https://doi.org/10.1109/icassp49357.2023.10095778"},"language":"en","primary_location":{"id":"doi:10.1109/icassp49357.2023.10095778","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp49357.2023.10095778","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-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/A5071116593","display_name":"Ting Dang","orcid":"https://orcid.org/0000-0003-3806-1493"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU","GB"],"is_corresponding":false,"raw_author_name":"Ting Dang","raw_affiliation_strings":["University of Cambridge,Department of Computer Science and Technology,United Kingdom","Department of Computer Science and Technology, University of Cambridge, United Kingdom","School of Electrical Engineering and Telecommunications, UNSW, Sydney, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Cambridge,Department of Computer Science and Technology,United Kingdom","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Department of Computer Science and Technology, University of Cambridge, United Kingdom","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"School of Electrical Engineering and Telecommunications, UNSW, Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089940466","display_name":"Antoni Dimitriadis","orcid":null},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Antoni Dimitriadis","raw_affiliation_strings":["UNSW,School of Electrical Engineering and Telecommunications,Sydney,Australia","School of Electrical Engineering and Telecommunications, UNSW, Sydney, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNSW,School of Electrical Engineering and Telecommunications,Sydney,Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Electrical Engineering and Telecommunications, UNSW, Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101718664","display_name":"Jingyao Wu","orcid":"https://orcid.org/0000-0003-3844-7855"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jingyao Wu","raw_affiliation_strings":["UNSW,School of Electrical Engineering and Telecommunications,Sydney,Australia","School of Electrical Engineering and Telecommunications, UNSW, Sydney, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNSW,School of Electrical Engineering and Telecommunications,Sydney,Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Electrical Engineering and Telecommunications, UNSW, Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032689109","display_name":"Vidhyasaharan Sethu","orcid":"https://orcid.org/0000-0001-8492-1787"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Vidhyasaharan Sethu","raw_affiliation_strings":["UNSW,School of Electrical Engineering and Telecommunications,Sydney,Australia","School of Electrical Engineering and Telecommunications, UNSW, Sydney, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNSW,School of Electrical Engineering and Telecommunications,Sydney,Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Electrical Engineering and Telecommunications, UNSW, Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028116210","display_name":"Eliathamby Ambikairajah","orcid":"https://orcid.org/0000-0003-4673-6534"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Eliathamby Ambikairajah","raw_affiliation_strings":["UNSW,School of Electrical Engineering and Telecommunications,Sydney,Australia","School of Electrical Engineering and Telecommunications, UNSW, Sydney, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNSW,School of Electrical Engineering and Telecommunications,Sydney,Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Electrical Engineering and Telecommunications, UNSW, Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9238,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73183113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11326","display_name":"Stock Market Forecasting Methods","score":0.9962999820709229,"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/T11052","display_name":"Energy Load and Power Forecasting","score":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.8423149585723877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.716408908367157},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.7085153460502625},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6321313381195068},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6019726991653442},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.5931039452552795},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.5459628701210022},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5125963091850281},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.48198264837265015},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47404003143310547},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.46414223313331604},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.4172571003437042},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4108606278896332},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4060302972793579},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.35853925347328186},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3166719079017639},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.25610876083374023},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20953333377838135},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.08228346705436707}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.8423149585723877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.716408908367157},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7085153460502625},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6321313381195068},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6019726991653442},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.5931039452552795},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.5459628701210022},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5125963091850281},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.48198264837265015},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47404003143310547},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.46414223313331604},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4172571003437042},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4108606278896332},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4060302972793579},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.35853925347328186},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3166719079017639},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25610876083374023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20953333377838135},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.08228346705436707},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp49357.2023.10095778","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp49357.2023.10095778","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1587799944","https://openalex.org/W1789721553","https://openalex.org/W1976235033","https://openalex.org/W2108591604","https://openalex.org/W2117829824","https://openalex.org/W2132782512","https://openalex.org/W2144144709","https://openalex.org/W2172064003","https://openalex.org/W2181873835","https://openalex.org/W2313953460","https://openalex.org/W2346454595","https://openalex.org/W2399733683","https://openalex.org/W2518110751","https://openalex.org/W2802350116","https://openalex.org/W2884001105","https://openalex.org/W2958796454","https://openalex.org/W2963755523","https://openalex.org/W3089687835","https://openalex.org/W4231057675","https://openalex.org/W6638035981","https://openalex.org/W6752307458","https://openalex.org/W6765671628"],"related_works":["https://openalex.org/W3095242670","https://openalex.org/W3033597970","https://openalex.org/W4250831671","https://openalex.org/W2230606337","https://openalex.org/W2089869689","https://openalex.org/W4388681848","https://openalex.org/W2078952919","https://openalex.org/W2945666329","https://openalex.org/W2617651062","https://openalex.org/W2330535098"],"abstract_inverted_index":{"weA":[0],"number":[1],"of":[2,103,105,112,129,133,143],"machine":[3],"learning":[4,59],"applications":[5],"involve":[6],"time":[7,22,86,107],"series":[8,23,87,108],"prediction,":[9,154],"and":[10,115,197],"in":[11],"some":[12,41,50],"cases":[13],"additional":[14],"information":[15],"about":[16],"dynamical":[17,75,157],"constraints":[18,56,158,189],"on":[19,49,140,150,190],"the":[20,34,45,84,101,106,116,127,131,134,141,162,170,176,191],"target":[21],"may":[24],"be":[25,31,94],"available.":[26],"For":[27],"instance,":[28],"it":[29],"might":[30],"known":[32,51],"that":[33,44,92,169,186],"desired":[35,85],"quantity":[36],"cannot":[37],"change":[38,104],"faster":[39,195],"than":[40],"rate":[42,46,102,142],"or":[43],"is":[47,66,148],"dependent":[48],"factors.":[52],"However,":[53],"incorporating":[54],"these":[55,188],"into":[57],"deep":[58],"models,":[60,81],"such":[61,156],"as":[62,88,109,121],"recurrent":[63],"neural":[64,76,123],"networks,":[65],"not":[67],"straightforward.":[68],"In":[69],"this":[70],"paper,":[71],"we":[72],"propose":[73],"constrained":[74],"ordinary":[77],"differential":[78],"equation":[79],"(CD-NODE)":[80],"which":[82],"treat":[83],"a":[89,110,122],"dynamic":[90],"process":[91],"can":[93],"described":[95],"by":[96,136],"an":[97],"ODE.":[98],"CD-NODEs":[99],"model":[100,135,147,171,192],"function":[111],"both":[113],"itself":[114],"current":[117],"input":[118],"features,":[119],"parameterised":[120],"network.":[124],"We":[125],"explore":[126],"effect":[128],"constraining":[130],"dynamics":[132],"placing":[137],"explicit":[138],"restrictions":[139],"change.":[144],"The":[145],"proposed":[146],"evaluated":[149],"speech-based":[151],"continuous":[152],"emotion":[153],"where":[155],"are":[159],"expected,":[160],"using":[161,179],"publicly":[163],"available":[164],"RECOLA":[165],"dataset.":[166],"Results":[167],"suggest":[168],"achieves":[172],"performances":[173],"comparable":[174],"with":[175,201],"state-of-the-art":[177],"despite":[178],"significantly":[180],"fewer":[181],"parameters.":[182],"Additional":[183],"analyses":[184],"reveal":[185],"imposing":[187],"leads":[193],"to":[194],"convergence":[196],"better":[198],"performance,":[199],"especially":[200],"smaller":[202],"training":[203],"data":[204],"sets.":[205]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}