{"id":"https://openalex.org/W1540911499","doi":null,"title":"Lifted Relational Kalman Filtering","display_name":"Lifted Relational Kalman Filtering","publication_year":2013,"publication_date":"2013-01-16","ids":{"openalex":"https://openalex.org/W1540911499","mag":"1540911499"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.258.9995","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.258.9995","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.uiuc.edu/eyal/papers/IJCAI11_ChoiJGuzmanAAmirE.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5052985764","display_name":"Jaesik Choi","orcid":"https://orcid.org/0000-0002-4663-3263","observed_orcids":["https://orcid.org/0000-0002-4663-3263"]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jaesik Choi","raw_affiliation_strings":["Computer Science Department, University of Illinois at Urbana Champaign, Urbana, IL#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Illinois at Urbana Champaign, Urbana, IL#TAB#","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079297608","display_name":"Abner Guzman-Rivera","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abner Guzman-rivera","raw_affiliation_strings":["Computer Science Department, University of Illinois at Urbana Champaign, Urbana, IL#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Illinois at Urbana Champaign, Urbana, IL#TAB#","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109409885","display_name":"Eyal Amir","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eyal Amir","raw_affiliation_strings":["Computer Science Department, University of Illinois at Urbana Champaign, Urbana, IL#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Illinois at Urbana Champaign, Urbana, IL#TAB#","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":3.9736,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.93234083,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.4661000072956085,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.4661000072956085,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.45170000195503235,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.05990000069141388,"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/kalman-filter","display_name":"Kalman filter","score":0.7929999828338623},{"id":"https://openalex.org/keywords/matrix-inversion-avoidance","display_name":"matrix inversion avoidance","score":0.49799999594688416}],"concepts":[{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.878505527973175},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.7471252679824829},{"id":"https://openalex.org/C150679823","wikidata":"https://www.wikidata.org/wiki/Q5436946","display_name":"Fast Kalman filter","level":4,"score":0.6081579923629761},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6077293157577515},{"id":"https://openalex.org/C79334102","wikidata":"https://www.wikidata.org/wiki/Q3072268","display_name":"Ensemble Kalman filter","level":4,"score":0.5222797393798828},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5119322538375854},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.507644534111023},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5062776803970337},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5015950202941895},{"id":"https://openalex.org/C8639503","wikidata":"https://www.wikidata.org/wiki/Q6059511","display_name":"Invariant extended Kalman filter","level":4,"score":0.45762357115745544},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.4543340802192688},{"id":"https://openalex.org/C139399703","wikidata":"https://www.wikidata.org/wiki/Q7897426","display_name":"Unscented transform","level":5,"score":0.4427047371864319},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4287600517272949},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37869736552238464},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27187561988830566},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12421309947967529},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.258.9995","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.258.9995","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.uiuc.edu/eyal/papers/IJCAI11_ChoiJGuzmanAAmirE.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W73939759","https://openalex.org/W143236119","https://openalex.org/W1536980722","https://openalex.org/W1585129016","https://openalex.org/W1601600618","https://openalex.org/W1977970897","https://openalex.org/W2061079827","https://openalex.org/W2103139809","https://openalex.org/W2104205387","https://openalex.org/W2105934661","https://openalex.org/W2107272354","https://openalex.org/W2109469951","https://openalex.org/W2124142520","https://openalex.org/W2126185296","https://openalex.org/W2133873188","https://openalex.org/W2134962979","https://openalex.org/W2153204928","https://openalex.org/W2153959628","https://openalex.org/W2157098139","https://openalex.org/W2164781796","https://openalex.org/W2166293769","https://openalex.org/W2179860363","https://openalex.org/W3021170537"],"related_works":["https://openalex.org/W7100171176","https://openalex.org/W2254755500","https://openalex.org/W2285613422","https://openalex.org/W637279463","https://openalex.org/W1795647395","https://openalex.org/W7100285854","https://openalex.org/W6991114589","https://openalex.org/W4234805545","https://openalex.org/W6944157050","https://openalex.org/W1973499919"],"abstract_inverted_index":{"Kalman":[0,26,86],"Filtering":[1,87],"is":[2,129],"a":[3,35,42],"computational":[4],"tool":[5],"with":[6,57,74,138],"widespread":[7],"applications":[8],"in":[9,55,94,111],"robotics,":[10],"financial":[11],"and":[12,17,21,70],"weather":[13],"forecasting,":[14],"environmental":[15],"engineering":[16],"defense.":[18],"Given":[19],"observation":[20],"state":[22,32,61,115],"transition":[23],"models,":[24],"the":[25,31,39,95,112,130],"Filter":[27],"(KF)":[28],"recursively":[29],"estimates":[30],"variables":[33,78,99,116],"of":[34,60,77,97,114],"dynamic":[36,72,140],"system.":[37],"However,":[38],"KF":[40],"requires":[41],"cubic":[43],"time":[44,93,110],"matrix":[45],"inversion":[46],"operation":[47],"at":[48,100],"every":[49,101],"timestep":[50],"which":[51,89],"prevents":[52],"its":[53],"application":[54],"domains":[56],"large":[58,75],"numbers":[59,76],"variables.":[62],"We":[63,103],"propose":[64],"Relational":[65],"Gaussian":[66],"Models":[67],"to":[68,122],"represent":[69],"model":[71],"systems":[73],"efficiently.":[79],"Furthermore,":[80],"we":[81],"devise":[82],"an":[83],"exact":[84],"lifted":[85,132],"algorithm":[88,107,135],"takes":[90,108],"only":[91],"linear":[92,109],"number":[96,113],"random":[98],"timestep.":[102],"prove":[104],"that":[105],"our":[106,126],"even":[117],"when":[118],"individual":[119],"observations":[120],"apply":[121],"each":[123],"variable.":[124],"To":[125],"knowledge,":[127],"this":[128],"first":[131],"(linear":[133],"time)":[134],"for":[136],"filtering":[137],"continuous":[139],"relational":[141],"models.":[142],"1":[143]},"counts_by_year":[{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2016-06-24T00:00:00"}
