{"id":"https://openalex.org/W2554299566","doi":"https://doi.org/10.1109/mlsp.2016.7738812","title":"Approximate state-space Gaussian processes via spectral transformation","display_name":"Approximate state-space Gaussian processes via spectral transformation","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2554299566","doi":"https://doi.org/10.1109/mlsp.2016.7738812","mag":"2554299566"},"language":"en","primary_location":{"id":"doi:10.1109/mlsp.2016.7738812","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mlsp.2016.7738812","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 26th International Workshop on Machine Learning for Signal Processing (MLSP)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://aaltodoc.aalto.fi/handle/123456789/24313","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033957157","display_name":"Toni Karvonen","orcid":"https://orcid.org/0000-0002-5984-7295"},"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":"Toni Karvonen","raw_affiliation_strings":["Department of Electrical Engineering and Automation Espoo, Aalto University, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Automation Espoo, Aalto University, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"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 Sarkka","raw_affiliation_strings":["Aalto-yliopisto, Aalto, FI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aalto-yliopisto, Aalto, FI","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9927081"],"apc_list":null,"apc_paid":null,"fwci":0.3883,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.62091211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9976000189781189,"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"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9940000176429749,"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":0.6909740567207336},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.6600993871688843},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5866569876670837},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5755528211593628},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5754372477531433},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5587723255157471},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5500780344009399},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.546881377696991},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5411495566368103},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.48692429065704346},{"id":"https://openalex.org/keywords/kriging","display_name":"Kriging","score":0.4838522970676422},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3944014012813568},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35338374972343445},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12200850248336792},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08556604385375977},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07709565758705139}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6909740567207336},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.6600993871688843},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5866569876670837},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5755528211593628},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5754372477531433},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5587723255157471},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5500780344009399},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.546881377696991},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5411495566368103},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48692429065704346},{"id":"https://openalex.org/C81692654","wikidata":"https://www.wikidata.org/wiki/Q225926","display_name":"Kriging","level":2,"score":0.4838522970676422},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3944014012813568},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35338374972343445},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12200850248336792},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08556604385375977},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07709565758705139},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/mlsp.2016.7738812","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mlsp.2016.7738812","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 26th International Workshop on Machine Learning for Signal Processing (MLSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/24313","is_oa":true,"landing_page_url":"https://aaltodoc.aalto.fi/handle/123456789/24313","pdf_url":null,"source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/24313","is_oa":true,"landing_page_url":"https://aaltodoc.aalto.fi/handle/123456789/24313","pdf_url":null,"source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W88520345","https://openalex.org/W394219594","https://openalex.org/W1571870753","https://openalex.org/W1837874438","https://openalex.org/W1972537245","https://openalex.org/W1983617554","https://openalex.org/W1999479532","https://openalex.org/W2062231581","https://openalex.org/W2107221565","https://openalex.org/W2129173607","https://openalex.org/W2256464407","https://openalex.org/W4211049957","https://openalex.org/W4232464081","https://openalex.org/W4299363636","https://openalex.org/W6679218550","https://openalex.org/W6692231763"],"related_works":["https://openalex.org/W4300066510","https://openalex.org/W2056958800","https://openalex.org/W566010457","https://openalex.org/W2600092203","https://openalex.org/W4311388919","https://openalex.org/W4293503520","https://openalex.org/W2803685231","https://openalex.org/W3134152097","https://openalex.org/W2966696655","https://openalex.org/W1971337326"],"abstract_inverted_index":{"State-space":[0],"representations":[1],"of":[2,17,23,78],"Gaussian":[3],"process":[4],"regression":[5,19],"use":[6],"Kalman":[7],"filtering":[8],"and":[9,70,82],"smoothing":[10],"theory":[11],"to":[12,28,38,45,86],"downscale":[13],"the":[14,18,21,35,46,79,95],"computational":[15],"complexity":[16],"in":[20,93],"number":[22],"data":[24],"points":[25],"from":[26],"cubic":[27],"linear.":[29],"As":[30],"their":[31,88],"exact":[32],"implementation":[33],"requires":[34],"covariance":[36],"function":[37],"possess":[39],"rational":[40,43],"spectral":[41,47,59,67,72],"density,":[42],"approximations":[44,80],"density":[48],"must":[49],"be":[50],"often":[51],"used.":[52],"In":[53],"this":[54,64],"article":[55],"we":[56],"introduce":[57],"new":[58],"transformation":[60],"based":[61],"methods":[62],"for":[63,90],"purpose:":[65],"a":[66,71],"composition":[68],"method":[69],"preconditioning":[73],"method.":[74],"We":[75],"study":[76],"convergence":[77],"theoretically":[81],"run":[83],"numerical":[84],"experiments":[85],"attest":[87],"accuracy":[89],"different":[91],"densities,":[92],"particular":[94],"fractional":[96],"Matern.":[97]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
