{"id":"https://openalex.org/W2902054515","doi":"https://doi.org/10.23919/ecc.2018.8550314","title":"Gaussian mean-field models of linear systems","display_name":"Gaussian mean-field models of linear systems","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2902054515","doi":"https://doi.org/10.23919/ecc.2018.8550314","mag":"2902054515"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2018.8550314","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2018.8550314","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5039730934","display_name":"Marko \u0160e\u0161lija","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Marko Seslija","raw_affiliation_strings":["Department of Engineering, University of Cambridge"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Cambridge","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067642477","display_name":"Rodolphe Sepulchre","orcid":"https://orcid.org/0000-0002-7047-3124"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Rodolphe Sepulchre","raw_affiliation_strings":["Department of Engineering, University of Cambridge"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Cambridge","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2022","last_page":"2027"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9805999994277954,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9796000123023987,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6460523009300232},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.624230682849884},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.6009206771850586},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5800147652626038},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5233377814292908},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.5078476071357727},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.49995875358581543},{"id":"https://openalex.org/keywords/mean-field-theory","display_name":"Mean field theory","score":0.4987311363220215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48978590965270996},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.478497177362442},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4768156409263611},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.46612122654914856},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.44960904121398926},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3936280906200409},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3879185616970062},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37691760063171387},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15179190039634705},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12989667057991028},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1030188500881195},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08256244659423828},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07564941048622131}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6460523009300232},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.624230682849884},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.6009206771850586},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5800147652626038},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5233377814292908},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.5078476071357727},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.49995875358581543},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.4987311363220215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48978590965270996},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.478497177362442},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4768156409263611},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.46612122654914856},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.44960904121398926},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3936280906200409},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3879185616970062},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37691760063171387},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15179190039634705},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12989667057991028},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1030188500881195},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08256244659423828},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07564941048622131},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2018.8550314","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2018.8550314","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:generic.eprints.org:1062884","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/1062884/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1537604486","https://openalex.org/W1746819321","https://openalex.org/W1994005439","https://openalex.org/W2002494248","https://openalex.org/W2011000015","https://openalex.org/W2016354087","https://openalex.org/W2026814250","https://openalex.org/W2075510082","https://openalex.org/W2113281549","https://openalex.org/W2136390187","https://openalex.org/W2142189574","https://openalex.org/W2165363188","https://openalex.org/W2344322259","https://openalex.org/W3037829119","https://openalex.org/W3140968660","https://openalex.org/W4211049957"],"related_works":["https://openalex.org/W4387451451","https://openalex.org/W2137300182","https://openalex.org/W2053005959","https://openalex.org/W2064234232","https://openalex.org/W2299538996","https://openalex.org/W2027136373","https://openalex.org/W2144143333","https://openalex.org/W2126690398","https://openalex.org/W75826713","https://openalex.org/W2148059640"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,22,26,61,65,71],"issue":[4],"of":[5,12,28,43,53,68],"modeling":[6],"mean-field":[7,41],"behavior":[8],"in":[9,21],"heterogeneous":[10],"populations":[11],"linear":[13],"time-invariant":[14],"SISO":[15],"systems.":[16],"Our":[17],"analysis":[18],"is":[19,33,47,58],"conducted":[20],"frequency":[23],"domain,":[24],"where":[25],"heterogeneity":[27],"input-output":[29,55],"mappings":[30],"(transfer":[31],"functions)":[32],"modeled":[34],"as":[35,49],"a":[36,50],"complex-valued":[37],"Gaussian":[38,51],"process.":[39],"The":[40],"model":[42],"diffusively":[44],"coupled":[45],"agents":[46,69],"obtained":[48],"approximation":[52],"averaged":[54],"behavior.":[56],"It":[57],"shown":[59],"that":[60],"strong":[62],"coupling":[63],"and":[64],"large":[66],"number":[67],"reduce":[70],"population":[72],"variance.":[73]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}