{"id":"https://openalex.org/W7084750789","doi":"https://doi.org/10.1109/tac.2025.3618165","title":"Moment Matching by Kernel-Based Learning","display_name":"Moment Matching by Kernel-Based Learning","publication_year":2025,"publication_date":"2025-10-06","ids":{"openalex":"https://openalex.org/W7084750789","doi":"https://doi.org/10.1109/tac.2025.3618165"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2025.3618165","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3618165","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://aisberg.unibg.it/bitstream/10446/309512/5/Moment_Matching_by_Kernel-Based_Learning.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Alessio Moreschini","orcid":"https://orcid.org/0000-0003-0860-1073"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alessio Moreschini","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, U.K"],"raw_orcid":"https://orcid.org/0000-0003-0860-1073","affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Matteo Scandella","orcid":"https://orcid.org/0000-0001-6978-3769"},"institutions":[{"id":"https://openalex.org/I11039511","display_name":"University of Bergamo","ror":"https://ror.org/02mbd5571","country_code":"IT","type":"education","lineage":["https://openalex.org/I11039511"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Matteo Scandella","raw_affiliation_strings":["Department of Management, Information and Production Engineering, University of Bergamo, Dalmine (BG), Italy"],"raw_orcid":"https://orcid.org/0000-0001-6978-3769","affiliations":[{"raw_affiliation_string":"Department of Management, Information and Production Engineering, University of Bergamo, Dalmine (BG), Italy","institution_ids":["https://openalex.org/I11039511"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Alessandro Astolfi","orcid":"https://orcid.org/0000-0002-4331-454X"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alessandro Astolfi","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, U.K"],"raw_orcid":"https://orcid.org/0000-0002-4331-454X","affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":null,"display_name":"Thomas Parisini","orcid":"https://orcid.org/0000-0001-5396-9665"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Thomas Parisini","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, U.K"],"raw_orcid":"https://orcid.org/0000-0001-5396-9665","affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.57308102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"4","first_page":"2123","last_page":"2138"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T13399","display_name":"Unemployment and Economic Growth","score":0.11159999668598175,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13399","display_name":"Unemployment and Economic Growth","score":0.11159999668598175,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T14370","display_name":"Economic, Social, and Health Studies","score":0.04190000146627426,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10208","display_name":"Labor market dynamics and wage inequality","score":0.03460000082850456,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.730400025844574},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.6995999813079834},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6071000099182129},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.579800009727478},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.4893999993801117},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.4771000146865845},{"id":"https://openalex.org/keywords/moment-problem","display_name":"Moment problem","score":0.4666999876499176}],"concepts":[{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.730400025844574},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.6995999813079834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6427000164985657},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6071000099182129},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.579800009727478},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4893999993801117},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.4771000146865845},{"id":"https://openalex.org/C4285052","wikidata":"https://www.wikidata.org/wiki/Q3406268","display_name":"Moment problem","level":3,"score":0.4666999876499176},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4198000133037567},{"id":"https://openalex.org/C108311513","wikidata":"https://www.wikidata.org/wiki/Q841934","display_name":"Image moment","level":4,"score":0.3970000147819519},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37459999322891235},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3434999883174896},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.33500000834465027},{"id":"https://openalex.org/C61062188","wikidata":"https://www.wikidata.org/wiki/Q835065","display_name":"Second moment of area","level":2,"score":0.33320000767707825},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.31349998712539673},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29019999504089355},{"id":"https://openalex.org/C71134354","wikidata":"https://www.wikidata.org/wiki/Q458825","display_name":"Kernel density estimation","level":3,"score":0.28439998626708984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2833999991416931},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.28119999170303345}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tac.2025.3618165","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3618165","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/4bd68073-f302-4bba-9008-e3bb5f37da9d","is_oa":false,"landing_page_url":"https://vbn.aau.dk/da/publications/4bd68073-f302-4bba-9008-e3bb5f37da9d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Moreschini, A, Scandella, M, Astolfi, A & Parisini, T 2026, 'Moment Matching by Kernel-Based Learning', IEEE Transactions on Automatic Control, vol. 71, no. 4, pp. 2123-2138. https://doi.org/10.1109/TAC.2025.3618165","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:aisberg.unibg.it:10446/309512","is_oa":true,"landing_page_url":"https://hdl.handle.net/10446/309512","pdf_url":"https://aisberg.unibg.it/bitstream/10446/309512/5/Moment_Matching_by_Kernel-Based_Learning.pdf","source":{"id":"https://openalex.org/S4377196347","display_name":"Aisberg (University of Bergamo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11039511","host_organization_name":"University of Bergamo","host_organization_lineage":["https://openalex.org/I11039511"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:art.torvergata.it:2108/454532","is_oa":false,"landing_page_url":"https://hdl.handle.net/2108/454532","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arts.units.it:11368/3133579","is_oa":false,"landing_page_url":"https://hdl.handle.net/11368/3133579","pdf_url":null,"source":{"id":"https://openalex.org/S4306400480","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:aisberg.unibg.it:10446/309512","is_oa":true,"landing_page_url":"https://hdl.handle.net/10446/309512","pdf_url":"https://aisberg.unibg.it/bitstream/10446/309512/5/Moment_Matching_by_Kernel-Based_Learning.pdf","source":{"id":"https://openalex.org/S4377196347","display_name":"Aisberg (University of Bergamo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11039511","host_organization_name":"University of Bergamo","host_organization_lineage":["https://openalex.org/I11039511"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2428888754","display_name":"KIOS Research and Innovation Centre of Excellence","funder_award_id":"739551","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8313066374","display_name":null,"funder_award_id":"EP/X033546","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7084750789.pdf","grobid_xml":"https://content.openalex.org/works/W7084750789.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,28,134],"introduce":[1,82],"a":[2,10,23,119,140,166],"kernel-based":[3],"moment":[4,31,71,87,90,148,156,172],"matching":[5,72,88,91,149,157,173],"theory":[6],"which":[7,62,106,121],"relies":[8],"upon":[9],"novel":[11],"data-driven":[12],"model":[13],"reduction":[14],"method":[15],"that":[16,30,53,114,137,169],"employs":[17],"the":[18,39,44,54,83,95,107,124,128,131],"estimation":[19,32,125],"of":[20,43,85,112,130,181],"moments":[21],"within":[22],"Reproducing":[24,55,141],"Kernel":[25,56,142],"Hilbert":[26,57,143],"Space.":[27],"demonstrate":[29],"can":[33,145],"be":[34],"enhanced":[35],"by":[36],"appropriately":[37],"tuning":[38],"regularization":[40],"term,":[41],"regardless":[42],"kernel":[45],"choice.":[46],"Additionally,":[47,101],"we":[48,81,102,164],"present":[49],"conditions":[50],"to":[51,127],"ensure":[52,146],"Space":[58,144],"contains":[59,109],"only":[60],"functions":[61],"are":[63,115],"<italic":[64,177],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[65,97,178],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">bona":[66],"fide</i>":[67],"moments.":[68],"While":[69],"exact":[70],"with":[73,152],"finite":[74],"data":[75],"is":[76],"impractical":[77],"in":[78,105,118],"this":[79],"scenario,":[80],"concepts":[84],"weak":[86,147,171],"and":[89],"almost":[92,158],"everywhere":[93,159],"onto":[94],"<inline-formula":[96],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[98],"notation=\"LaTeX\">$\\mathcal":[99],"{L}_{2}$</tex-math></inline-formula>-space.":[100],"address":[103],"scenarios":[104],"dataset":[108],"noisy":[110],"measurements":[111],"outputs":[113],"not":[116],"yet":[117],"steady-state,":[120],"typically":[122],"biases":[123],"due":[126],"effect":[129],"output":[132],"transients.":[133,162],"further":[135],"prove":[136],"estimating":[138],"over":[139],"asymptotically":[150],"and,":[151],"additional":[153],"assumptions,":[154],"also":[155],"despite":[160],"these":[161],"Finally,":[163],"provide":[165],"probabilistic":[167],"bound":[168],"guarantees":[170],"for":[174],"an":[175],"arbitrarily":[176],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">finite</i>":[179],"amount":[180],"data.":[182]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}