{"id":"https://openalex.org/W4407950362","doi":"https://doi.org/10.1109/cdc56724.2024.10886084","title":"Koopman-Based Learning of Infinitesimal Generators without Operator Logarithm","display_name":"Koopman-Based Learning of Infinitesimal Generators without Operator Logarithm","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4407950362","doi":"https://doi.org/10.1109/cdc56724.2024.10886084"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10886084","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886084","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","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/A5024005879","display_name":"Yiming Meng","orcid":"https://orcid.org/0000-0002-2923-7154"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yiming Meng","raw_affiliation_strings":["University of Illinois Urbana-Champaign,Coordinated Science Laboratory,Urbana,IL,USA,61801"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois Urbana-Champaign,Coordinated Science Laboratory,Urbana,IL,USA,61801","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018323174","display_name":"Ruikun Zhou","orcid":"https://orcid.org/0000-0001-7265-0617"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ruikun Zhou","raw_affiliation_strings":["University of Waterloo,,Department of Applied Mathematics,Waterloo,ON,Canada,N2L 3G1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo,,Department of Applied Mathematics,Waterloo,ON,Canada,N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070897457","display_name":"Melkior Ornik","orcid":"https://orcid.org/0000-0002-8510-8787"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Melkior Ornik","raw_affiliation_strings":["University of Illinois Urbana-Champaign,Department of Aerospace Engineering and the Coordinated Science Laboratory,Urbana,IL,USA,61801"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois Urbana-Champaign,Department of Aerospace Engineering and the Coordinated Science Laboratory,Urbana,IL,USA,61801","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100678225","display_name":"Jun Liu","orcid":"https://orcid.org/0000-0001-8762-2299"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jun Liu","raw_affiliation_strings":["University of Waterloo,Department of Applied Mathematics,Waterloo,ON,Canada,N2L 3G1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo,Department of Applied Mathematics,Waterloo,ON,Canada,N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0013,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76221277,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"8302","last_page":"8307"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9933000206947327,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9933000206947327,"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/T10320","display_name":"Neural Networks and Applications","score":0.963699996471405,"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/T11236","display_name":"Control Systems and Identification","score":0.9398000240325928,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/infinitesimal","display_name":"Infinitesimal","score":0.8497957587242126},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.7747780084609985},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5528954863548279},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5154401063919067},{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.4928431510925293},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4747869372367859},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4245573878288269},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3914336562156677},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32109275460243225},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.215500146150589},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17520776391029358}],"concepts":[{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.8497957587242126},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7747780084609985},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5528954863548279},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5154401063919067},{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.4928431510925293},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4747869372367859},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4245573878288269},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3914336562156677},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32109275460243225},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.215500146150589},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17520776391029358},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc56724.2024.10886084","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886084","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320994","display_name":"Canada Research Chairs","ror":"https://ror.org/0517h6h17"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1527296550","https://openalex.org/W1591018827","https://openalex.org/W1723433682","https://openalex.org/W2040135606","https://openalex.org/W2051866702","https://openalex.org/W2053904120","https://openalex.org/W2054714794","https://openalex.org/W2116364955","https://openalex.org/W2151136609","https://openalex.org/W2239232218","https://openalex.org/W2963401716","https://openalex.org/W2963611087","https://openalex.org/W3006550916","https://openalex.org/W3084158465","https://openalex.org/W3196962038","https://openalex.org/W3199571574","https://openalex.org/W4315471990","https://openalex.org/W4315472145","https://openalex.org/W4315488717","https://openalex.org/W4323662928","https://openalex.org/W4387886228","https://openalex.org/W4388098327","https://openalex.org/W4388918562","https://openalex.org/W4401210573","https://openalex.org/W4407424530","https://openalex.org/W6858982504"],"related_works":["https://openalex.org/W1555245969","https://openalex.org/W2321282558","https://openalex.org/W2299507895","https://openalex.org/W1900540279","https://openalex.org/W4300200155","https://openalex.org/W4300498183","https://openalex.org/W2012392278","https://openalex.org/W2656095712","https://openalex.org/W1833714557","https://openalex.org/W2577600644"],"abstract_inverted_index":{"To":[0],"retrieve":[1],"transient":[2],"transition":[3],"information":[4],"of":[5,38],"unknown":[6],"systems":[7],"from":[8],"discrete-time":[9],"observations,":[10],"the":[11,31,36,61,66],"Koopman":[12,32,67],"operator":[13,33,68],"structure":[14],"has":[15,42],"gained":[16],"significant":[17],"attention":[18],"in":[19],"recent":[20],"years,":[21],"particularly":[22],"for":[23,59],"its":[24],"ability":[25],"to":[26],"avoid":[27],"time":[28],"derivatives":[29],"through":[30],"logarithm.":[34],"However,":[35],"effectiveness":[37],"these":[39],"logarithm-based":[40],"methods":[41],"only":[43],"been":[44],"demonstrated":[45],"within":[46],"a":[47,56],"restrictive":[48],"function":[49],"space.":[50],"In":[51],"this":[52],"paper,":[53],"we":[54],"propose":[55],"logarithm-free":[57],"technique":[58],"learning":[60,69],"infinitesimal":[62],"generator":[63],"without":[64],"disrupting":[65],"framework.":[70]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
