{"id":"https://openalex.org/W4403331944","doi":"https://doi.org/10.23919/fusion59988.2024.10706458","title":"Gaussian Mixture Particle Filter Step based on Method of Moments","display_name":"Gaussian Mixture Particle Filter Step based on Method of Moments","publication_year":2024,"publication_date":"2024-07-08","ids":{"openalex":"https://openalex.org/W4403331944","doi":"https://doi.org/10.23919/fusion59988.2024.10706458"},"language":"en","primary_location":{"id":"doi:10.23919/fusion59988.2024.10706458","is_oa":false,"landing_page_url":"https://doi.org/10.23919/fusion59988.2024.10706458","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 27th International Conference on Information Fusion (FUSION)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://publikationen.bibliothek.kit.edu/1000192588/179734652","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027687530","display_name":"Daniel Frisch","orcid":"https://orcid.org/0000-0001-6615-1782"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Frisch","raw_affiliation_strings":["Institute for Anthropomatics and Robotics Karlsruhe Institute of Technology (KIT),Intelligent Sensor-Actuator-Systems Laboratory (ISAS),Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Anthropomatics and Robotics Karlsruhe Institute of Technology (KIT),Intelligent Sensor-Actuator-Systems Laboratory (ISAS),Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055331421","display_name":"Uwe D. Hanebeck","orcid":"https://orcid.org/0000-0001-9870-2331"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Uwe D. Hanebeck","raw_affiliation_strings":["Institute for Anthropomatics and Robotics Karlsruhe Institute of Technology (KIT),Intelligent Sensor-Actuator-Systems Laboratory (ISAS),Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Anthropomatics and Robotics Karlsruhe Institute of Technology (KIT),Intelligent Sensor-Actuator-Systems Laboratory (ISAS),Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":null,"apc_paid":null,"fwci":2.5745,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.91243781,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14228","display_name":"Religion and Sociopolitical Dynamics in Nigeria","score":0.9017000198364258,"subfield":{"id":"https://openalex.org/subfields/3300","display_name":"General Social Sciences"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T14228","display_name":"Religion and Sociopolitical Dynamics in Nigeria","score":0.9017000198364258,"subfield":{"id":"https://openalex.org/subfields/3300","display_name":"General Social Sciences"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/particle-filter","display_name":"Particle filter","score":0.7140423059463501},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6048632860183716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5119210481643677},{"id":"https://openalex.org/keywords/gaussian-filter","display_name":"Gaussian filter","score":0.4934321939945221},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.45752039551734924},{"id":"https://openalex.org/keywords/mixture-model","display_name":"Mixture model","score":0.4522963762283325},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4400859475135803},{"id":"https://openalex.org/keywords/method-of-moments","display_name":"Method of moments (probability theory)","score":0.4295104742050171},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4211239814758301},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3821644186973572},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.36447596549987793},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.320054829120636},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2936803996562958},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2668342590332031},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21880435943603516},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21839135885238647},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.13956886529922485},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.0652327835559845}],"concepts":[{"id":"https://openalex.org/C52421305","wikidata":"https://www.wikidata.org/wiki/Q1151499","display_name":"Particle filter","level":3,"score":0.7140423059463501},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6048632860183716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5119210481643677},{"id":"https://openalex.org/C65892221","wikidata":"https://www.wikidata.org/wiki/Q1113935","display_name":"Gaussian filter","level":3,"score":0.4934321939945221},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.45752039551734924},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.4522963762283325},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4400859475135803},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.4295104742050171},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4211239814758301},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3821644186973572},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.36447596549987793},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.320054829120636},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2936803996562958},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2668342590332031},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21880435943603516},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21839135885238647},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.13956886529922485},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0652327835559845},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","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":3,"locations":[{"id":"doi:10.23919/fusion59988.2024.10706458","is_oa":false,"landing_page_url":"https://doi.org/10.23919/fusion59988.2024.10706458","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 27th International Conference on Information Fusion (FUSION)","raw_type":"proceedings-article"},{"id":"pmh:oai:EVASTAR-Karlsruhe.de:1000192588","is_oa":true,"landing_page_url":"https://publikationen.bibliothek.kit.edu/1000192588","pdf_url":"https://publikationen.bibliothek.kit.edu/1000192588/179734652","source":{"id":"https://openalex.org/S4306401992","display_name":"Repository KITopen (Karlsruhe Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"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":"doc-type:conferenceObject"},{"id":"doi:10.5445/ir/1000192588","is_oa":true,"landing_page_url":"https://doi.org/10.5445/ir/1000192588","pdf_url":null,"source":{"id":"https://openalex.org/S7407052948","display_name":"KITopen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:EVASTAR-Karlsruhe.de:1000192588","is_oa":true,"landing_page_url":"https://publikationen.bibliothek.kit.edu/1000192588","pdf_url":"https://publikationen.bibliothek.kit.edu/1000192588/179734652","source":{"id":"https://openalex.org/S4306401992","display_name":"Repository KITopen (Karlsruhe Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"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":"doc-type:conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403331944.pdf","grobid_xml":"https://content.openalex.org/works/W4403331944.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W98388201","https://openalex.org/W193706516","https://openalex.org/W1745063500","https://openalex.org/W1970319972","https://openalex.org/W2035411603","https://openalex.org/W2057989705","https://openalex.org/W2062237071","https://openalex.org/W2099264463","https://openalex.org/W2105934661","https://openalex.org/W2107802551","https://openalex.org/W2124665963","https://openalex.org/W2136661846","https://openalex.org/W2148180395","https://openalex.org/W2151395545","https://openalex.org/W2178829616","https://openalex.org/W2187617524","https://openalex.org/W2587860762","https://openalex.org/W2796079430","https://openalex.org/W3085594844","https://openalex.org/W3205112468","https://openalex.org/W3215894861","https://openalex.org/W4239773590","https://openalex.org/W4255199623","https://openalex.org/W4297788876","https://openalex.org/W4402264577","https://openalex.org/W4403331929","https://openalex.org/W6620533890","https://openalex.org/W6639416718","https://openalex.org/W6681660884","https://openalex.org/W6686507408","https://openalex.org/W6689985608","https://openalex.org/W6740774075","https://openalex.org/W6926824983","https://openalex.org/W6968759153"],"related_works":["https://openalex.org/W2015530857","https://openalex.org/W1975321310","https://openalex.org/W1952261593","https://openalex.org/W1992295166","https://openalex.org/W2143508933","https://openalex.org/W2001924341","https://openalex.org/W2115445963","https://openalex.org/W4205181450","https://openalex.org/W4206030159","https://openalex.org/W1510085384"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,7,33,102],"novel":[3],"update":[4,17],"step":[5],"of":[6,63,92,105],"Gaussian":[8,35,82,111],"mixture":[9,83,113],"particle":[10],"filter":[11],"for":[12],"nonlinear":[13],"state":[14],"estimation.":[15],"The":[16],"procedure":[18],"works":[19],"as":[20,67,80],"follows:":[21],"First,":[22],"unweighted":[23],"samples":[24,38,69],"are":[25,39,70],"drawn":[26],"in":[27],"an":[28],"optimal":[29,71],"deterministic":[30],"sense":[31],"from":[32,43,52],"prior":[34],"mixture.":[36],"These":[37,56],"then":[40],"assigned":[41],"weights":[42],"the":[44,74,81,90,94,106],"likelihood":[45],"function,":[46],"and":[47],"we":[48,100],"compute":[49],"higher-order":[50],"moments":[51],"this":[53],"samplebased":[54],"posterior.":[55],"moment":[57],"approximations":[58],"converge":[59],"with":[60],"$L^{-1}$":[61],"instead":[62],"$L^{-1":[64],"/":[65],"2}$":[66],"our":[68],"deterministic.":[72],"Finally,":[73],"continuous":[75],"posterior":[76],"approximation":[77],"is":[78],"determined":[79],"that":[84,109],"has":[85],"minimal":[86],"Fisher":[87,107],"information":[88,108],"under":[89],"constraint":[91],"having":[93],"aforementioned":[95],"moments.":[96],"To":[97],"achieve":[98],"this,":[99],"employ":[101],"closed-form":[103],"solution":[104],"involves":[110],"root":[112],"densities.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2026-08-25T07:29:55.448023","created_date":"2025-10-10T00:00:00"}