{"id":"https://openalex.org/W2163626396","doi":"https://doi.org/10.1109/tac.2012.2211439","title":"Modal Trajectory Estimation Using Maximum Gaussian Mixture","display_name":"Modal Trajectory Estimation Using Maximum Gaussian Mixture","publication_year":2012,"publication_date":"2012-08-02","ids":{"openalex":"https://openalex.org/W2163626396","doi":"https://doi.org/10.1109/tac.2012.2211439","mag":"2163626396"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2012.2211439","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2012.2211439","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://hal.science/hal-02917190","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078217850","display_name":"A. Monin","orcid":null},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Andr\u00e9 Monin","raw_affiliation_strings":["Univ de Toulouse, LAAS, Toulouse, France","LAAS-RAP - \u00c9quipe Robotique, Action et Perception (France)"],"affiliations":[{"raw_affiliation_string":"Univ de Toulouse, LAAS, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I190497903"]},{"raw_affiliation_string":"LAAS-RAP - \u00c9quipe Robotique, Action et Perception (France)","institution_ids":["https://openalex.org/I190497903"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078217850"],"corresponding_institution_ids":["https://openalex.org/I17866349","https://openalex.org/I190497903"],"apc_list":null,"apc_paid":null,"fwci":0.8563,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80216731,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"58","issue":"3","first_page":"763","last_page":"768"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9997000098228455,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9997000098228455,"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/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9898999929428101,"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/gaussian","display_name":"Gaussian","score":0.6769253015518188},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.6128542423248291},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.5845553874969482},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5604154467582703},{"id":"https://openalex.org/keywords/gaussian-random-field","display_name":"Gaussian random field","score":0.5239234566688538},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5073499083518982},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4934312403202057},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.45128872990608215},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.44523224234580994},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.42690107226371765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3729618787765503},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35196250677108765},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3388513922691345},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19928914308547974},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0892731249332428}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6769253015518188},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6128542423248291},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.5845553874969482},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5604154467582703},{"id":"https://openalex.org/C51267290","wikidata":"https://www.wikidata.org/wiki/Q5527848","display_name":"Gaussian random field","level":4,"score":0.5239234566688538},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5073499083518982},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4934312403202057},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.45128872990608215},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.44523224234580994},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.42690107226371765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3729618787765503},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35196250677108765},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3388513922691345},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19928914308547974},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0892731249332428},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2012.2211439","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2012.2211439","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:HAL:hal-02917190v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02917190","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2013, 58 (3), pp.763 - 768. &#x27E8;10.1109/TAC.2012.2211439&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02917190v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02917190","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2013, 58 (3), pp.763 - 768. &#x27E8;10.1109/TAC.2012.2211439&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1503003940","https://openalex.org/W1749494163","https://openalex.org/W1961457865","https://openalex.org/W1985690368","https://openalex.org/W2015325157","https://openalex.org/W2016757156","https://openalex.org/W2046059763","https://openalex.org/W2070898270","https://openalex.org/W2098613108","https://openalex.org/W2099867508","https://openalex.org/W2112014348","https://openalex.org/W2117397690","https://openalex.org/W2117741292","https://openalex.org/W2125105520","https://openalex.org/W2127923214","https://openalex.org/W2128457724","https://openalex.org/W2129819572","https://openalex.org/W2158084138","https://openalex.org/W2162348049","https://openalex.org/W2162548352","https://openalex.org/W4249489015","https://openalex.org/W4252119169","https://openalex.org/W6630191445","https://openalex.org/W6662016103","https://openalex.org/W6676904260"],"related_works":["https://openalex.org/W2054439726","https://openalex.org/W4389109202","https://openalex.org/W4312290701","https://openalex.org/W4298202464","https://openalex.org/W3134701830","https://openalex.org/W2072210242","https://openalex.org/W2774655044","https://openalex.org/W4385819757","https://openalex.org/W3093998065","https://openalex.org/W2021775158"],"abstract_inverted_index":{"This":[0],"technical":[1],"note":[2],"deals":[3],"with":[4,16],"the":[5,8,21,33,47,62,66],"estimation":[6],"of":[7,11,50],"whole":[9],"trajectory":[10],"a":[12,26],"stochastic":[13],"dynamic":[14],"system":[15],"highest":[17],"probability,":[18],"conditionally":[19],"upon":[20],"past":[22],"observation":[23],"process,":[24],"using":[25],"maximum":[27],"Gaussian":[28,34,51],"mixture.":[29],"We":[30],"first":[31],"recall":[32],"sum":[35],"technique":[36],"applied":[37,55],"to":[38],"minimum":[39],"variance":[40],"filtering.":[41],"It":[42],"is":[43],"then":[44],"shown":[45],"that":[46,57],"same":[48],"concept":[49],"mixture":[52],"can":[53],"be":[54],"in":[56],"context,":[58],"provided":[59],"we":[60],"replace":[61],"Sum":[63],"operator":[64],"by":[65],"Max":[67],"operator.":[68]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
