{"id":"https://openalex.org/W2612241113","doi":"https://doi.org/10.1109/cdc.2017.8264109","title":"Gradient flows in uncertainty propagation and filtering of linear Gaussian systems","display_name":"Gradient flows in uncertainty propagation and filtering of linear Gaussian systems","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2612241113","doi":"https://doi.org/10.1109/cdc.2017.8264109","mag":"2612241113"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2017.8264109","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264109","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual 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/A5029714029","display_name":"Abhishek Halder","orcid":"https://orcid.org/0000-0002-1509-5853"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abhishek Halder","raw_affiliation_strings":["University of California, Irvine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Irvine","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035194316","display_name":"Tryphon T. Georgiou","orcid":"https://orcid.org/0000-0003-0012-5447"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tryphon T. Georgiou","raw_affiliation_strings":["University of California, Irvine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Irvine","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204250578"],"apc_list":null,"apc_paid":null,"fwci":1.8773,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84059506,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3081","last_page":"3088"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9865999817848206,"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/gaussian","display_name":"Gaussian","score":0.6832064986228943},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5679618716239929},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5496221780776978},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4841511845588684},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4758546054363251},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.448687881231308},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.43778547644615173},{"id":"https://openalex.org/keywords/propagation-of-uncertainty","display_name":"Propagation of uncertainty","score":0.43015599250793457},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4295842945575714},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4148057997226715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40500834584236145},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30093055963516235},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19219499826431274},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1466083526611328},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1194174587726593}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6832064986228943},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5679618716239929},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5496221780776978},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4841511845588684},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4758546054363251},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.448687881231308},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.43778547644615173},{"id":"https://openalex.org/C123614077","wikidata":"https://www.wikidata.org/wiki/Q1364905","display_name":"Propagation of uncertainty","level":2,"score":0.43015599250793457},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4295842945575714},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4148057997226715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40500834584236145},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30093055963516235},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19219499826431274},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1466083526611328},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1194174587726593},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2017.8264109","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264109","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W583356579","https://openalex.org/W1482224246","https://openalex.org/W1536997931","https://openalex.org/W1585160083","https://openalex.org/W1621050367","https://openalex.org/W1972447015","https://openalex.org/W1980271325","https://openalex.org/W1985506636","https://openalex.org/W2017277760","https://openalex.org/W2040104067","https://openalex.org/W2071048859","https://openalex.org/W2083402998","https://openalex.org/W2095440665","https://openalex.org/W2105137465","https://openalex.org/W2134321402","https://openalex.org/W2166978623","https://openalex.org/W2502449663","https://openalex.org/W2571463739","https://openalex.org/W2913535645","https://openalex.org/W4229650096","https://openalex.org/W4240788980","https://openalex.org/W4244393449","https://openalex.org/W6628948476","https://openalex.org/W6635108014","https://openalex.org/W6674489939"],"related_works":["https://openalex.org/W1975289146","https://openalex.org/W2105887828","https://openalex.org/W2087240539","https://openalex.org/W4236520801","https://openalex.org/W2122599759","https://openalex.org/W1537234410","https://openalex.org/W1995022398","https://openalex.org/W2049581338","https://openalex.org/W1970319972","https://openalex.org/W2953254336"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,44,55,70,89],"this":[3,76],"work":[4],"is":[5,78],"mostly":[6],"expository":[7],"and":[8,19,96],"aims":[9],"to":[10,57,79],"elucidate":[11],"the":[12,22,42,53,62,68,83,87],"Jordan-Kinderlehrer-Otto":[13],"(JKO)":[14],"scheme":[15,25],"for":[16,26,60],"uncertainty":[17],"propagation,":[18],"a":[20],"variant,":[21],"Laugesen-Mehta-Meyn-Raginsky":[23],"(LMMR)":[24],"filtering.":[27,72],"We":[28],"point":[29],"out":[30],"that":[31],"these":[32],"variational":[33],"schemes":[34,51],"can":[35],"be":[36],"understood":[37],"as":[38,65,67],"proximal":[39],"operators":[40],"in":[41,75,81,86],"space":[43],"density":[45],"functions,":[46],"realizing":[47],"gradient":[48],"flows.":[49],"These":[50],"hold":[52],"promise":[54],"leading":[56],"efficient":[58],"ways":[59],"solving":[61],"Fokker-Planck":[63],"equation":[64],"well":[66],"equations":[69],"non-linear":[71],"Our":[73],"aim":[74],"paper":[77],"develop":[80],"detail":[82],"underlying":[84],"ideas":[85],"setting":[88],"linear":[90],"stochastic":[91],"systems":[92],"with":[93],"Gaussian":[94],"noise":[95],"recover":[97],"known":[98],"results.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
