{"id":"https://openalex.org/W4407950564","doi":"https://doi.org/10.1109/cdc56724.2024.10886326","title":"Reproducing Kernel Approach to Linear-Quadratic Mean Field Control Problems with Additive Noise","display_name":"Reproducing Kernel Approach to Linear-Quadratic Mean Field Control Problems with Additive Noise","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4407950564","doi":"https://doi.org/10.1109/cdc56724.2024.10886326"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10886326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886326","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/A5062730839","display_name":"Pierre-Cyril Aubin-Frankowski","orcid":"https://orcid.org/0000-0001-7992-8335"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Pierre-Cyril Aubin-Frankowski","raw_affiliation_strings":["TU Wien,Vienna,Austria"],"affiliations":[{"raw_affiliation_string":"TU Wien,Vienna,Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027426452","display_name":"Alain Bensoussan","orcid":"https://orcid.org/0000-0003-2465-1249"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alain Bensoussan","raw_affiliation_strings":["University of Texas at Dallas"],"affiliations":[{"raw_affiliation_string":"University of Texas at Dallas","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062730839"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28435895,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3297","last_page":"3302"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9363999962806702,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9363999962806702,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9240000247955322,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9057999849319458,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6615791320800781},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4813152551651001},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.47573092579841614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4389726221561432},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36917227506637573},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3505653440952301},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20836088061332703},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.13101938366889954}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6615791320800781},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4813152551651001},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.47573092579841614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4389726221561432},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36917227506637573},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3505653440952301},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20836088061332703},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.13101938366889954},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc56724.2024.10886326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886326","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/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W586490843","https://openalex.org/W1820663283","https://openalex.org/W1821455959","https://openalex.org/W1968067611","https://openalex.org/W2037152246","https://openalex.org/W2048138547","https://openalex.org/W2067437055","https://openalex.org/W2338171141","https://openalex.org/W2963415493","https://openalex.org/W3040080951","https://openalex.org/W3106605876","https://openalex.org/W3168838416","https://openalex.org/W4230008158","https://openalex.org/W4304950302","https://openalex.org/W6804432031"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"We":[0,18],"show":[1],"in":[2,97,111],"this":[3],"work":[4],"how":[5],"to":[6,11,39,68],"develop":[7],"a":[8,52,55],"kernel":[9,59,78],"approach":[10],"solve":[12],"linear-quadratic":[13],"mean":[14],"field":[15],"control":[16,36,87],"problems.":[17,88],"use":[19],"operator-valued":[20],"kernels,":[21],"which":[22],"is":[23,60],"consistent":[24],"with":[25,32],"the":[26,40,44,48,63,69,77,98,112],"fact":[27],"that":[28],"we":[29],"are":[30],"dealing":[31],"an":[33],"infinite":[34],"dimensional":[35],"problem":[37,49],"due":[38],"mean-field":[41],"term.":[42],"But":[43],"stochastic":[45,86],"aspect":[46],"of":[47,54,91],"brings":[50],"also":[51],"difficulty":[53],"different":[56],"nature.":[57],"The":[58],"defined":[61],"over":[62],"time":[64],"variable,":[65],"and":[66],"conversely":[67],"deterministic":[70],"case,":[71],"information":[72],"must":[73],"be":[74,109],"considered.":[75],"Thus":[76],"acts":[79],"on":[80],"random":[81],"processes,":[82],"even":[83],"for":[84],"ordinary":[85],"This":[89],"type":[90],"kernels":[92],"has":[93],"not":[94],"appeared":[95],"previously":[96],"literature.":[99],"Extensions,":[100],"like":[101],"partially":[102],"observable":[103],"systems":[104],"or":[105],"multiplicative":[106],"noise,":[107],"will":[108],"considered":[110],"future.":[113]},"counts_by_year":[],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}