{"id":"https://openalex.org/W3119637775","doi":"https://doi.org/10.1109/cdc42340.2020.9304182","title":"Particle Filtering on the Stiefel Manifold with Optimal Transport","display_name":"Particle Filtering on the Stiefel Manifold with Optimal Transport","publication_year":2020,"publication_date":"2020-12-14","ids":{"openalex":"https://openalex.org/W3119637775","doi":"https://doi.org/10.1109/cdc42340.2020.9304182","mag":"3119637775"},"language":"en","primary_location":{"id":"doi:10.1109/cdc42340.2020.9304182","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304182","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100398371","display_name":"Zhichao Wang","orcid":"https://orcid.org/0000-0002-6993-6240"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Zhichao Wang","raw_affiliation_strings":["School of Electrical Engineering and Telecommunications, University of New South Wale, Sydney, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Telecommunications, University of New South Wale, Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091154507","display_name":"Victor Solo","orcid":"https://orcid.org/0000-0002-5123-7708"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Victor Solo","raw_affiliation_strings":["School of Electrical Engineering and Telecommunications, University of New South Wale, Sydney, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Telecommunications, University of New South Wale, Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":null,"apc_paid":null,"fwci":1.1806,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.79502573,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"31","issue":null,"first_page":"4111","last_page":"4116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stiefel-manifold","display_name":"Stiefel manifold","score":0.8595322370529175},{"id":"https://openalex.org/keywords/particle-filter","display_name":"Particle filter","score":0.7936919927597046},{"id":"https://openalex.org/keywords/resampling","display_name":"Resampling","score":0.736050009727478},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6462836265563965},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.5419074892997742},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5322912335395813},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5117866396903992},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5067184567451477},{"id":"https://openalex.org/keywords/auxiliary-particle-filter","display_name":"Auxiliary particle filter","score":0.47587624192237854},{"id":"https://openalex.org/keywords/parallel-transport","display_name":"Parallel transport","score":0.445745587348938},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44522330164909363},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4347343146800995},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4125167727470398},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3300545811653137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3053347170352936},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.17373311519622803},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16022855043411255},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13988962769508362},{"id":"https://openalex.org/keywords/ensemble-kalman-filter","display_name":"Ensemble Kalman filter","score":0.13430282473564148},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11851385235786438},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10790207982063293},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.07820585370063782}],"concepts":[{"id":"https://openalex.org/C612670","wikidata":"https://www.wikidata.org/wiki/Q7616373","display_name":"Stiefel manifold","level":2,"score":0.8595322370529175},{"id":"https://openalex.org/C52421305","wikidata":"https://www.wikidata.org/wiki/Q1151499","display_name":"Particle filter","level":3,"score":0.7936919927597046},{"id":"https://openalex.org/C150921843","wikidata":"https://www.wikidata.org/wiki/Q1170431","display_name":"Resampling","level":2,"score":0.736050009727478},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6462836265563965},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.5419074892997742},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5322912335395813},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5117866396903992},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5067184567451477},{"id":"https://openalex.org/C52483021","wikidata":"https://www.wikidata.org/wiki/Q4827310","display_name":"Auxiliary particle filter","level":5,"score":0.47587624192237854},{"id":"https://openalex.org/C106953101","wikidata":"https://www.wikidata.org/wiki/Q1814838","display_name":"Parallel transport","level":2,"score":0.445745587348938},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44522330164909363},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4347343146800995},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4125167727470398},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3300545811653137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3053347170352936},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.17373311519622803},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16022855043411255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13988962769508362},{"id":"https://openalex.org/C79334102","wikidata":"https://www.wikidata.org/wiki/Q3072268","display_name":"Ensemble Kalman filter","level":4,"score":0.13430282473564148},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11851385235786438},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10790207982063293},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.07820585370063782},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc42340.2020.9304182","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304182","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W385466589","https://openalex.org/W1544770838","https://openalex.org/W1810520904","https://openalex.org/W1992278142","https://openalex.org/W2016012557","https://openalex.org/W2021661079","https://openalex.org/W2033810246","https://openalex.org/W2066601679","https://openalex.org/W2094210680","https://openalex.org/W2130363011","https://openalex.org/W2131838761","https://openalex.org/W2144707556","https://openalex.org/W2149338181","https://openalex.org/W2151249889","https://openalex.org/W2158131535","https://openalex.org/W2515882314","https://openalex.org/W2543420359","https://openalex.org/W2569171899","https://openalex.org/W2670912469","https://openalex.org/W2789735464","https://openalex.org/W2887972355","https://openalex.org/W2938216750","https://openalex.org/W2964027953","https://openalex.org/W3011281820","https://openalex.org/W6682962330","https://openalex.org/W6739860136"],"related_works":["https://openalex.org/W3144709167","https://openalex.org/W1824810860","https://openalex.org/W2162253570","https://openalex.org/W2368144031","https://openalex.org/W2355962871","https://openalex.org/W2758742130","https://openalex.org/W2126226614","https://openalex.org/W2406829934","https://openalex.org/W2862160893","https://openalex.org/W2376126247"],"abstract_inverted_index":{"Estimating":[0],"the":[1,45,49,58,68,87],"state":[2],"of":[3],"a":[4,11,71],"stochastic":[5],"differential":[6],"equation":[7],"(SDE)":[8],"evolving":[9],"in":[10,15,18,44,57],"Stiefel":[12],"manifold":[13],"occurs":[14],"many":[16,31],"applications":[17],"science":[19],"and":[20,48,75],"engineering.":[21],"This":[22],"problem":[23],"has":[24],"been":[25],"handled":[26],"by":[27,66],"particle":[28,51,55,77],"filtering.":[29],"However,":[30],"existing":[32],"schemes":[33],"share":[34],"common":[35],"shortcomings:":[36],"estimated":[37],"states":[38],"fail":[39],"to":[40,85],"satisfy":[41],"geometric":[42],"constraints":[43],"sampling":[46],"step":[47],"conventional":[50],"filter":[52],"suffers":[53],"from":[54],"depletion":[56],"resampling":[59],"step.":[60],"Here":[61],"we":[62],"overcome":[63],"these":[64],"issues":[65],"managing":[67],"geometry":[69],"with":[70,79],"numerical":[72],"Ito-Cayley":[73],"scheme":[74],"ensuring":[76],"diversity":[78],"optimal":[80],"transport.":[81],"We":[82],"give":[83],"simulations":[84],"illustrate":[86],"new":[88],"algorithm.":[89]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
