{"id":"https://openalex.org/W3010839561","doi":"https://doi.org/10.1109/cdc40024.2019.9030017","title":"Port\u2013Hamiltonian Approach to Neural Network Training","display_name":"Port\u2013Hamiltonian Approach to Neural Network Training","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3010839561","doi":"https://doi.org/10.1109/cdc40024.2019.9030017","mag":"3010839561"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9030017","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030017","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","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/A5053046176","display_name":"Stefano Massaroli","orcid":"https://orcid.org/0000-0003-3788-6290"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Stefano Massaroli","raw_affiliation_strings":["Department of Precision Engineering, The University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Precision Engineering, The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078213488","display_name":"Michael Poli","orcid":"https://orcid.org/0000-0001-5384-9372"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Michael Poli","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Korea Advanced Institute of Science and Technology (KAIST), Daejeon, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Korea Advanced Institute of Science and Technology (KAIST), Daejeon, South Korea","institution_ids":["https://openalex.org/I157485424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075056195","display_name":"Federico Califano","orcid":"https://orcid.org/0000-0001-8693-0900"},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Federico Califano","raw_affiliation_strings":["Faculty of Electrical Engineering, Mathematics & Computer Science (EWI), Robotics and Mechatronics (RAM), University of Twente, Enschede, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Mathematics & Computer Science (EWI), Robotics and Mechatronics (RAM), University of Twente, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034743350","display_name":"Angela Faragasso","orcid":"https://orcid.org/0000-0002-8948-3592"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Angela Faragasso","raw_affiliation_strings":["Department of Precision Engineering, The University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Precision Engineering, The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023509025","display_name":"Jinkyoo Park","orcid":"https://orcid.org/0000-0003-2620-1479"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jinkyoo Park","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Korea Advanced Institute of Science and Technology (KAIST), Daejeon, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Korea Advanced Institute of Science and Technology (KAIST), Daejeon, South Korea","institution_ids":["https://openalex.org/I157485424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021260328","display_name":"Atsushi Yamashita","orcid":"https://orcid.org/0000-0003-1280-069X"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Atsushi Yamashita","raw_affiliation_strings":["Department of Precision Engineering, The University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Precision Engineering, The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064103302","display_name":"Hajime Asama","orcid":"https://orcid.org/0000-0002-9482-497X"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hajime Asama","raw_affiliation_strings":["Department of Precision Engineering, The University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Precision Engineering, The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5053046176"],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":null,"apc_paid":null,"fwci":0.661061,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.7198082,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"6799","last_page":"6806"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12763","display_name":"ATP Synthase and ATPases Research","score":0.9524000287055969,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9514999985694885,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.8113832473754883},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6941162347793579},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6693010330200195},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6574007272720337},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5749980211257935},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5112361907958984},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47424712777137756},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.47126102447509766},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4628526270389557},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.42052221298217773},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.4114149808883667},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3461088538169861},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24213439226150513},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15170350670814514}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.8113832473754883},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6941162347793579},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6693010330200195},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6574007272720337},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5749980211257935},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5112361907958984},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47424712777137756},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.47126102447509766},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4628526270389557},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42052221298217773},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.4114149808883667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3461088538169861},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24213439226150513},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15170350670814514},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc40024.2019.9030017","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030017","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:ris.utwente.nl:openaire_cris_publications/15ee1cb3-2642-4603-ab66-207c066477b4","is_oa":false,"landing_page_url":"https://research.utwente.nl/en/publications/15ee1cb3-2642-4603-ab66-207c066477b4","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Massaroli, S, Poli, M, Califano, F, Faragasso, A, Park, J, Yamashita, A & Asama, H 2019, Port-Hamiltonian Approach to Neural Network Training. in 2019 IEEE 58th Conference on Decision and Control, CDC 2019., 9030017, Proceedings of the IEEE Conference on Decision and Control, vol. 2019-December, IEEE, pp. 6799-6806, 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, 11/12/19. https://doi.org/10.1109/CDC40024.2019.9030017","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W840591150","https://openalex.org/W1522301498","https://openalex.org/W1553823556","https://openalex.org/W1559036903","https://openalex.org/W1573485417","https://openalex.org/W1594130515","https://openalex.org/W2005490094","https://openalex.org/W2042492924","https://openalex.org/W2048253740","https://openalex.org/W2096876511","https://openalex.org/W2099308299","https://openalex.org/W2108810732","https://openalex.org/W2128084896","https://openalex.org/W2128865943","https://openalex.org/W2137983211","https://openalex.org/W2139361041","https://openalex.org/W2144513243","https://openalex.org/W2148101780","https://openalex.org/W2194775991","https://openalex.org/W2253400648","https://openalex.org/W2766736793","https://openalex.org/W2777662428","https://openalex.org/W2896457183","https://openalex.org/W2948680363","https://openalex.org/W2952716587","https://openalex.org/W2963150697","https://openalex.org/W2963480765","https://openalex.org/W2963755523","https://openalex.org/W2968917279","https://openalex.org/W2974916071","https://openalex.org/W4240805545","https://openalex.org/W6608025168","https://openalex.org/W6631190155","https://openalex.org/W6633528664","https://openalex.org/W6681151457","https://openalex.org/W6681711504","https://openalex.org/W6691187937","https://openalex.org/W6747381837","https://openalex.org/W6750000506","https://openalex.org/W6752307458","https://openalex.org/W6755207826","https://openalex.org/W6755312952","https://openalex.org/W6763340073","https://openalex.org/W6767164110"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W4288093367","https://openalex.org/W2489516236"],"abstract_inverted_index":{"Neural":[0],"networks":[1,23,43],"are":[2,14,28,33,44,74],"discrete":[3,7,48],"entities:":[4],"subdivided":[5],"into":[6],"layers":[8],"and":[9,110],"parametrized":[10],"by":[11],"weights":[12],"which":[13,27,70],"iteratively":[15],"optimized":[16,46],"via":[17,47],"difference":[18],"equations.":[19],"Recent":[20],"work":[21],"proposes":[22],"with":[24],"layer":[25],"outputs":[26],"no":[29],"longer":[30],"quantized":[31],"but":[32],"solutions":[34,75],"of":[35,76,86,97,112],"an":[36],"ordinary":[37],"differential":[38],"equation":[39],"(ODE);":[40],"however,":[41],"these":[42],"still":[45],"methods":[49],"(e.g.":[50],"gradient":[51],"descent).":[52],"In":[53],"this":[54],"paper,":[55],"we":[56,62,90],"explore":[57],"a":[58,64,87,95],"different":[59],"direction:":[60],"namely,":[61],"propose":[63],"novel":[65],"framework":[66],"for":[67],"learning":[68],"in":[69],"the":[71,80,84,98,108,113],"parameters":[72],"themselves":[73],"ODEs.":[77],"By":[78],"viewing":[79],"optimization":[81],"process":[82],"as":[83],"evolution":[85],"port-Hamiltonian":[88],"system,":[89],"can":[91],"ensure":[92],"convergence":[93],"to":[94,106],"minimum":[96],"objective":[99],"function.":[100],"Numerical":[101],"experiments":[102],"have":[103],"been":[104],"performed":[105],"show":[107],"validity":[109],"effectiveness":[111],"proposed":[114],"methods.":[115]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-02-07T08:09:18.108334","created_date":"2025-10-10T00:00:00"}
