{"id":"https://openalex.org/W1827716646","doi":"https://doi.org/10.1007/s10514-015-9455-y","title":"Batch nonlinear continuous-time trajectory estimation as exactly sparse Gaussian process regression","display_name":"Batch nonlinear continuous-time trajectory estimation as exactly sparse Gaussian process regression","publication_year":2015,"publication_date":"2015-07-25","ids":{"openalex":"https://openalex.org/W1827716646","doi":"https://doi.org/10.1007/s10514-015-9455-y","mag":"1827716646"},"language":"en","primary_location":{"id":"doi:10.1007/s10514-015-9455-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10514-015-9455-y","pdf_url":null,"source":{"id":"https://openalex.org/S144091109","display_name":"Autonomous Robots","issn_l":"0929-5593","issn":["0929-5593","1573-7527"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Autonomous Robots","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://utoronto.scholaris.ca/bitstreams/ccbaafd3-63a2-4340-961e-b990ee2fe02f/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071097412","display_name":"Sean Anderson","orcid":"https://orcid.org/0000-0002-7452-5681"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Sean Anderson","raw_affiliation_strings":["Autonomous Space Robotics Lab, University of Toronto Institute for Aerospace Studies, North York, Canada"],"affiliations":[{"raw_affiliation_string":"Autonomous Space Robotics Lab, University of Toronto Institute for Aerospace Studies, North York, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004788089","display_name":"Timothy D. Barfoot","orcid":"https://orcid.org/0000-0003-3899-631X"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Timothy D. Barfoot","raw_affiliation_strings":["Autonomous Space Robotics Lab, University of Toronto Institute for Aerospace Studies, North York, Canada"],"affiliations":[{"raw_affiliation_string":"Autonomous Space Robotics Lab, University of Toronto Institute for Aerospace Studies, North York, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013811117","display_name":"Chi Hay Tong","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I2802123492","display_name":"Oxford Research Group","ror":"https://ror.org/00z4w4f29","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I2802123492"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Chi Hay Tong","raw_affiliation_strings":["Mobile Robotics Group, University of Oxford, Oxford, UK","[Mobile Robotics Group, University of Oxford, Oxford, UK]"],"affiliations":[{"raw_affiliation_string":"Mobile Robotics Group, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I2802123492","https://openalex.org/I40120149"]},{"raw_affiliation_string":"[Mobile Robotics Group, University of Oxford, Oxford, UK]","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075994876","display_name":"Simo S\u00e4rkk\u00e4","orcid":"https://orcid.org/0000-0002-7031-9354"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Simo S\u00e4rkk\u00e4","raw_affiliation_strings":["Department of Electrical Engineering and Automation, Aalto University, Espoo, Finland","Department of Electrical Engineering and Automation, Aalto University, Espoo, Finland#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Automation, Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Department of Electrical Engineering and Automation, Aalto University, Espoo, Finland#TAB#","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5071097412"],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":{"value":2590,"currency":"EUR","value_usd":3390},"apc_paid":null,"fwci":10.2381,"has_fulltext":true,"cited_by_count":85,"citation_normalized_percentile":{"value":0.98078843,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"39","issue":"3","first_page":"221","last_page":"238"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9987000226974487,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9987000226974487,"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":0.9976000189781189,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6272199153900146},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5732160806655884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5681619644165039},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4815285801887512},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4517270624637604},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.447915643453598},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.44049158692359924},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4223189651966095},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42007213830947876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3884376883506775},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3812209367752075},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3605602979660034},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.3558287024497986},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12062573432922363},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11573508381843567}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6272199153900146},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5732160806655884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5681619644165039},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4815285801887512},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4517270624637604},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.447915643453598},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.44049158692359924},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4223189651966095},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42007213830947876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3884376883506775},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3812209367752075},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3605602979660034},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3558287024497986},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12062573432922363},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11573508381843567},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10514-015-9455-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10514-015-9455-y","pdf_url":null,"source":{"id":"https://openalex.org/S144091109","display_name":"Autonomous Robots","issn_l":"0929-5593","issn":["0929-5593","1573-7527"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Autonomous Robots","raw_type":"journal-article"},{"id":"pmh:oai:utoronto.scholaris.ca:1807/77962","is_oa":true,"landing_page_url":"http://hdl.handle.net/1807/77962","pdf_url":"https://utoronto.scholaris.ca/bitstreams/ccbaafd3-63a2-4340-961e-b990ee2fe02f/download","source":{"id":"https://openalex.org/S7407055458","display_name":"TSpace","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":null,"raw_type":"Article Post-Print"}],"best_oa_location":{"id":"pmh:oai:utoronto.scholaris.ca:1807/77962","is_oa":true,"landing_page_url":"http://hdl.handle.net/1807/77962","pdf_url":"https://utoronto.scholaris.ca/bitstreams/ccbaafd3-63a2-4340-961e-b990ee2fe02f/download","source":{"id":"https://openalex.org/S7407055458","display_name":"TSpace","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":null,"raw_type":"Article Post-Print"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320273","display_name":"University of Cambridge","ror":"https://ror.org/013meh722"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1827716646.pdf"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W88520345","https://openalex.org/W149300422","https://openalex.org/W1490533726","https://openalex.org/W1586251222","https://openalex.org/W1620873823","https://openalex.org/W1656165940","https://openalex.org/W1746819321","https://openalex.org/W1790231888","https://openalex.org/W1837874438","https://openalex.org/W1968315983","https://openalex.org/W1972537245","https://openalex.org/W1987120496","https://openalex.org/W1990012555","https://openalex.org/W1991793962","https://openalex.org/W1999479532","https://openalex.org/W2000668356","https://openalex.org/W2001496915","https://openalex.org/W2006368361","https://openalex.org/W2007692097","https://openalex.org/W2019321876","https://openalex.org/W2024908906","https://openalex.org/W2030381855","https://openalex.org/W2054783248","https://openalex.org/W2064169939","https://openalex.org/W2083402998","https://openalex.org/W2089979487","https://openalex.org/W2091077439","https://openalex.org/W2096020743","https://openalex.org/W2098946742","https://openalex.org/W2101028311","https://openalex.org/W2101345862","https://openalex.org/W2105934661","https://openalex.org/W2114084853","https://openalex.org/W2121797328","https://openalex.org/W2122512809","https://openalex.org/W2122823116","https://openalex.org/W2124313187","https://openalex.org/W2127578024","https://openalex.org/W2127600800","https://openalex.org/W2134469667","https://openalex.org/W2137052305","https://openalex.org/W2148228392","https://openalex.org/W2152671441","https://openalex.org/W2154319942","https://openalex.org/W2164770369","https://openalex.org/W2169779569","https://openalex.org/W2173782939","https://openalex.org/W2266469970","https://openalex.org/W2295255295","https://openalex.org/W3039274615","https://openalex.org/W3103503690","https://openalex.org/W4211049957","https://openalex.org/W4232464081","https://openalex.org/W4246483956","https://openalex.org/W6629131304","https://openalex.org/W6629804754","https://openalex.org/W6635158341","https://openalex.org/W6678361441"],"related_works":["https://openalex.org/W2099531806","https://openalex.org/W2141609920","https://openalex.org/W2563155481","https://openalex.org/W3202119081","https://openalex.org/W1964389324","https://openalex.org/W2806666448","https://openalex.org/W3132058986","https://openalex.org/W3194150387","https://openalex.org/W2895929342","https://openalex.org/W2129173607"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}