{"id":"https://openalex.org/W3036651220","doi":null,"title":"Neural Optimal Control for Representation Learning","display_name":"Neural Optimal Control for Representation Learning","publication_year":2020,"publication_date":"2020-06-16","ids":{"openalex":"https://openalex.org/W3036651220","mag":"3036651220"},"language":"en","primary_location":{"id":"mag:3036651220","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2006.09545","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/2006.09545","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049962474","display_name":"Mathieu Chalvidal","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mathieu Chalvidal","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109334962","display_name":"Matthew R. Ricci","orcid":"https://orcid.org/0000-0001-8236-1616","observed_orcids":["https://orcid.org/0000-0001-8236-1616"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matthew Ricci","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078188438","display_name":"Rufin VanRullen","orcid":"https://orcid.org/0000-0002-3611-7716","observed_orcids":["https://orcid.org/0000-0002-3611-7716"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rufin VanRullen","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-3611-7716","affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"T. Serre","orcid":"https://orcid.org/0000-0003-0846-0039","observed_orcids":["https://orcid.org/0000-0003-0846-0039"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. Serre","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-0846-0039","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.7348999977111816,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.7348999977111816,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.15199999511241913,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.020400000736117363,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/neural-odes","display_name":"neural ordinary differential equations","score":0.9079999923706055},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.8500000238418579},{"id":"https://openalex.org/keywords/representation-learning","display_name":"representation learning","score":0.8090000152587891},{"id":"https://openalex.org/keywords/adjoint-sensitivity-analysis","display_name":"adjoint sensitivity analysis","score":0.6779999732971191},{"id":"https://openalex.org/keywords/neuroplasticity","display_name":"neuroplasticity","score":0.6869999766349792},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.5519999861717224},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.4339999854564667}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7311092019081116},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6794961094856262},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6284559369087219},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6180636286735535},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5202404260635376},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4896469712257385},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4788375198841095},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.43956902623176575},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.436130166053772},{"id":"https://openalex.org/C8038995","wikidata":"https://www.wikidata.org/wiki/Q1152135","display_name":"Unsupervised learning","level":2,"score":0.41785526275634766},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3317473828792572},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2690016031265259},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25734710693359375},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.1272422969341278},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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":"mag:3036651220","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2006.09545","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:3036651220","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2006.09545","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1834627138","https://openalex.org/W1971485640","https://openalex.org/W2049633694","https://openalex.org/W2112796928","https://openalex.org/W2121947440","https://openalex.org/W2150593711","https://openalex.org/W2173520492","https://openalex.org/W2779692282","https://openalex.org/W2785678896","https://openalex.org/W2795851676","https://openalex.org/W2808746463","https://openalex.org/W2810898455","https://openalex.org/W2922772346","https://openalex.org/W2927928207","https://openalex.org/W2945959973","https://openalex.org/W2951004968","https://openalex.org/W2958796454","https://openalex.org/W2959300817","https://openalex.org/W2963981733","https://openalex.org/W2964121744","https://openalex.org/W2970247852","https://openalex.org/W2970535233","https://openalex.org/W2989221291","https://openalex.org/W2990500698","https://openalex.org/W3021772978","https://openalex.org/W3027429260","https://openalex.org/W3034855424","https://openalex.org/W3035632253","https://openalex.org/W3036721570","https://openalex.org/W3118608800"],"related_works":["https://openalex.org/W4283381398","https://openalex.org/W7123563605","https://openalex.org/W7019688694","https://openalex.org/W4398387819","https://openalex.org/W3091839699","https://openalex.org/W4390602485","https://openalex.org/W4400946310","https://openalex.org/W7033714332","https://openalex.org/W7123354946","https://openalex.org/W2183083237"],"abstract_inverted_index":{"The":[0],"intriguing":[1],"connections":[2],"recently":[3],"established":[4],"between":[5],"neural":[6,32,43,51,112],"networks":[7,44],"and":[8,89,134,144,176],"dynamical":[9,71],"systems":[10],"have":[11],"invited":[12],"deep":[13],"learning":[14,95],"researchers":[15],"to":[16,81,141],"tap":[17],"into":[18],"the":[19,26,40,70,74,79,103,132,146],"well-explored":[20],"principles":[21],"of":[22,42,58,67,99,109,149],"differential":[23,34],"calculus.":[24],"Notably,":[25],"adjoint":[27],"sensitivity":[28],"method":[29,118,139],"used":[30],"in":[31,49,180],"ordinary":[33],"equations":[35],"(Neural":[36],"ODEs)":[37],"has":[38],"cast":[39],"training":[41,120],"as":[45,54,123,125],"a":[46,64,96,107,116],"control":[47],"problem":[48],"which":[50],"modules":[52],"operate":[53],"continuous-time":[55],"homeomorphic":[56],"transformations":[57,84],"features.":[59],"Typically,":[60],"these":[61],"methods":[62],"optimize":[63],"single":[65],"set":[66],"parameters":[68],"governing":[69],"system":[72],"for":[73,119,156],"whole":[75],"data":[76],"set,":[77],"forcing":[78],"network":[80,104],"learn":[82],"complex":[83],"that":[85,137],"are":[86],"functionally":[87],"limited":[88],"computationally":[90],"heavy.":[91],"Instead,":[92],"we":[93],"propose":[94],"data-conditioned":[97],"distribution":[98],"\\emph{optimal":[100],"controls}":[101],"over":[102,183],"dynamics,":[105],"emulating":[106],"form":[108],"input-dependent":[110],"fast":[111],"plasticity.":[113],"We":[114,152],"describe":[115],"general":[117],"such":[121],"models":[122],"well":[124],"convergence":[126],"proofs":[127],"assuming":[128],"mild":[129],"hypotheses":[130],"about":[131],"ODEs":[133],"show":[135],"empirically":[136],"this":[138,154],"leads":[140],"simpler":[142],"dynamics":[143],"reduces":[145],"computational":[147],"cost":[148],"Neural":[150],"ODEs.":[151],"evaluate":[153],"approach":[155],"unsupervised":[157,181],"image":[158,171],"representation":[159],"learning;":[160],"our":[161],"new":[162],"functional":[163],"auto-encoding":[164,185],"model":[165],"with":[166],"ODEs,":[167],"AutoencODE,":[168],"achieves":[169],"state-of-the-art":[170],"reconstruction":[172],"quality":[173],"on":[174],"CIFAR-10,":[175],"exhibits":[177],"substantial":[178],"improvements":[179],"classification":[182],"existing":[184],"models.":[186]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2020-06-25T00:00:00"}
