{"id":"https://openalex.org/W2915222331","doi":"https://doi.org/10.1109/tsp.2020.2987750","title":"Diffusion Maps Kalman Filter for a Class of Systems With Gradient Flows","display_name":"Diffusion Maps Kalman Filter for a Class of Systems With Gradient Flows","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2915222331","doi":"https://doi.org/10.1109/tsp.2020.2987750","mag":"2915222331"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2020.2987750","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.2987750","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1711.09598","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037804871","display_name":"Tal Shnitzer","orcid":"https://orcid.org/0000-0001-9058-1870"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Tal Shnitzer","raw_affiliation_strings":["Department of Electrical Engineering, Technion – Israel Institute of Technology, Technion City, Haifa, Israel","Technion-Israel Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion – Israel Institute of Technology, Technion City, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Technion-Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020330914","display_name":"Ronen Talmon","orcid":"https://orcid.org/0000-0002-6838-1423"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ronen Talmon","raw_affiliation_strings":["Department of Electrical Engineering, Technion – Israel Institute of Technology, Technion City, Haifa, Israel","Technion-Israel Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion – Israel Institute of Technology, Technion City, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Technion-Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044026747","display_name":"Jean-Jacques Slotine","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jean-Jacques Slotine","raw_affiliation_strings":["Nonlinear Systems Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA","Massachusetts Institute Of Technology#TAB#"],"affiliations":[{"raw_affiliation_string":"Nonlinear Systems Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Massachusetts Institute Of Technology#TAB#","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037804871"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.4078,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67924446,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"68","issue":null,"first_page":"2739","last_page":"2753"},"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":0.9897000193595886,"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":0.9897000193595886,"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":0.9857000112533569,"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/T11236","display_name":"Control Systems and Identification","score":0.9514999985694885,"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/kalman-filter","display_name":"Kalman filter","score":0.7006616592407227},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6458699703216553},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5675970315933228},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.4994235038757324},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.49431896209716797},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4821019470691681},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45059075951576233},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4244655966758728},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.344726026058197},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.295518159866333},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07446953654289246}],"concepts":[{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.7006616592407227},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6458699703216553},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5675970315933228},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.4994235038757324},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.49431896209716797},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4821019470691681},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45059075951576233},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4244655966758728},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.344726026058197},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.295518159866333},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07446953654289246},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/tsp.2020.2987750","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.2987750","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1711.09598","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.09598","pdf_url":"https://arxiv.org/pdf/1711.09598","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2915222331","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1711.09598","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:dspace.mit.edu:1721.1/135213","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/135213","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv","raw_type":"http://purl.org/eprint/type/JournalArticle"},{"id":"doi:10.48550/arxiv.1711.09598","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1711.09598","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"doi:10.24433/co.9298039.v1","is_oa":true,"landing_page_url":"https://doi.org/10.24433/co.9298039.v1","pdf_url":null,"source":{"id":"https://openalex.org/S7407052302","display_name":"Code Ocean","issn_l":null,"issn":[],"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1711.09598","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.09598","pdf_url":"https://arxiv.org/pdf/1711.09598","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2221627937","display_name":null,"funder_award_id":"1490/16","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2915222331.pdf","grobid_xml":"https://content.openalex.org/works/W2915222331.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W86907751","https://openalex.org/W196863122","https://openalex.org/W1484739396","https://openalex.org/W1549386224","https://openalex.org/W1591018827","https://openalex.org/W1972265435","https://openalex.org/W1987236926","https://openalex.org/W1988147465","https://openalex.org/W2034997740","https://openalex.org/W2044359900","https://openalex.org/W2060204033","https://openalex.org/W2067035505","https://openalex.org/W2077180490","https://openalex.org/W2080493630","https://openalex.org/W2094686470","https://openalex.org/W2098946742","https://openalex.org/W2105934661","https://openalex.org/W2114466971","https://openalex.org/W2126736494","https://openalex.org/W2132937713","https://openalex.org/W2138953630","https://openalex.org/W2160337655","https://openalex.org/W2294767448","https://openalex.org/W2316102489","https://openalex.org/W2338187001","https://openalex.org/W2471063652","https://openalex.org/W2510030309","https://openalex.org/W2566199617","https://openalex.org/W2751911346","https://openalex.org/W2962824627","https://openalex.org/W2962835052","https://openalex.org/W2963013180","https://openalex.org/W3098898877","https://openalex.org/W3099674394","https://openalex.org/W3103503690","https://openalex.org/W4213367101","https://openalex.org/W6603501138","https://openalex.org/W6622136111","https://openalex.org/W6675685020","https://openalex.org/W6683763340","https://openalex.org/W6697202336","https://openalex.org/W6744092970","https://openalex.org/W6910530838"],"related_works":["https://openalex.org/W3120847094","https://openalex.org/W1488285997","https://openalex.org/W2086640743","https://openalex.org/W3108655421","https://openalex.org/W2068485731","https://openalex.org/W3183525995","https://openalex.org/W2112980702","https://openalex.org/W2101216328","https://openalex.org/W2326336313","https://openalex.org/W2282377716","https://openalex.org/W2162795000","https://openalex.org/W2096632066","https://openalex.org/W2084009505","https://openalex.org/W2056985059","https://openalex.org/W1591735543","https://openalex.org/W2950688354","https://openalex.org/W2105821584","https://openalex.org/W3183024472","https://openalex.org/W3201579617","https://openalex.org/W3127812543"],"abstract_inverted_index":{"In":[0,97],"this":[1],"paper,":[2],"we":[3,51,66,138],"propose":[4],"a":[5,30,35,68,113],"non-parametric":[6,91,129],"method":[7,84,126],"for":[8,71],"state":[9,55,72],"estimation":[10,73],"of":[11,82,105,115,118],"high-dimensional":[12],"nonlinear":[13],"stochastic":[14,134],"dynamical":[15],"systems,":[16],"which":[17,57],"evolve":[18],"according":[19],"to":[20,87,102,142,149],"gradient":[21],"flows":[22],"with":[23,34,40,85,154],"isotropic":[24],"diffusion.":[25],"We":[26,78,121],"combine":[27],"diffusion":[28,49],"maps,":[29,50],"manifold":[31],"learning":[32],"technique,":[33],"linear":[36],"Kalman":[37,76],"filter":[38],"and":[39,90],"concepts":[41],"from":[42],"Koopman":[43],"operator":[44],"theory.":[45],"More":[46],"concretely,":[47],"using":[48,74],"construct":[52],"data-driven":[53,69],"virtual":[54],"coordinates,":[56,65],"linearize":[58],"the":[59,75,80,100,116,119,124,132],"system":[60],"model.":[61],"Based":[62],"on":[63],"these":[64],"devise":[67],"framework":[70],"filter.":[77],"demonstrate":[79],"strengths":[81],"our":[83,150],"respect":[86],"both":[88],"parametric":[89,144],"algorithms":[92,130],"in":[93,109,131,147],"three":[94],"tracking":[95],"problems.":[96],"particular,":[98],"applying":[99],"approach":[101],"actual":[103],"recordings":[104],"hippocampal":[106],"neural":[107],"activity":[108],"rodents":[110],"directly":[111],"yields":[112],"representation":[114],"position":[117],"animals.":[120],"show":[122],"that":[123],"proposed":[125],"outperforms":[127],"competing":[128],"examined":[133],"problem":[135],"formulations.":[136],"Additionally,":[137],"obtain":[139],"results":[140],"comparable":[141],"classical":[143],"algorithms,":[145],"which,":[146],"contrast":[148],"method,":[151],"are":[152],"equipped":[153],"model":[155],"knowledge.":[156]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}