{"id":"https://openalex.org/W1484735710","doi":"https://doi.org/10.1109/cdc.2005.1582739","title":"Time-series Gaussian Process Regression Based on Toeplitz Computation of O(N&amp;gt;sup&amp;lt;2&amp;gt;/sup&amp;lt;) Operations and O(N)-level Storage","display_name":"Time-series Gaussian Process Regression Based on Toeplitz Computation of O(N&amp;gt;sup&amp;lt;2&amp;gt;/sup&amp;lt;) Operations and O(N)-level Storage","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W1484735710","doi":"https://doi.org/10.1109/cdc.2005.1582739","mag":"1484735710"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1582739","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582739","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"article","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/A5053064477","display_name":"Yunong Zhang","orcid":"https://orcid.org/0000-0002-2228-0395"},"institutions":[{"id":"https://openalex.org/I181231927","display_name":"National University of Ireland","ror":"https://ror.org/00shsf120","country_code":"IE","type":"education","lineage":["https://openalex.org/I181231927"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Yunong Zhang","raw_affiliation_strings":["Hamilton Institute, National University of Ireland, Kildare, Ireland"],"affiliations":[{"raw_affiliation_string":"Hamilton Institute, National University of Ireland, Kildare, Ireland","institution_ids":["https://openalex.org/I181231927"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086446911","display_name":"Douglas J. Leith","orcid":"https://orcid.org/0000-0003-4056-4014"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]},{"id":"https://openalex.org/I181231927","display_name":"National University of Ireland","ror":"https://ror.org/00shsf120","country_code":"IE","type":"education","lineage":["https://openalex.org/I181231927"]}],"countries":["GB","IE"],"is_corresponding":false,"raw_author_name":"W.E. Leithead","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow, UK","Hamilton Institute, National University of Ireland, Kildare, Ireland"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow, UK","institution_ids":["https://openalex.org/I181647926"]},{"raw_affiliation_string":"Hamilton Institute, National University of Ireland, Kildare, Ireland","institution_ids":["https://openalex.org/I181231927"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086446911","display_name":"Douglas J. Leith","orcid":"https://orcid.org/0000-0003-4056-4014"},"institutions":[{"id":"https://openalex.org/I181231927","display_name":"National University of Ireland","ror":"https://ror.org/00shsf120","country_code":"IE","type":"education","lineage":["https://openalex.org/I181231927"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"D.J. Leith","raw_affiliation_strings":["Hamilton Institute, National University of Ireland, Kildare, Ireland"],"affiliations":[{"raw_affiliation_string":"Hamilton Institute, National University of Ireland, Kildare, Ireland","institution_ids":["https://openalex.org/I181231927"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053064477"],"corresponding_institution_ids":["https://openalex.org/I181231927"],"apc_list":null,"apc_paid":null,"fwci":12.1991,"has_fulltext":false,"cited_by_count":90,"citation_normalized_percentile":{"value":0.98549406,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"3711","last_page":"3716"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9995999932289124,"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":0.9995999932289124,"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/T13126","display_name":"Scientific Research and Discoveries","score":0.986299991607666,"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"}},{"id":"https://openalex.org/T11276","display_name":"Solar Radiation and Photovoltaics","score":0.9599999785423279,"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/gaussian-process","display_name":"Gaussian process","score":0.6227519512176514},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6107028722763062},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.5553657412528992},{"id":"https://openalex.org/keywords/hyperparameter","display_name":"Hyperparameter","score":0.512861967086792},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.48959213495254517},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4454859495162964},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.4304865598678589},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41893115639686584},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.41533833742141724},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3874438405036926},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.3857002258300781},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3313506543636322},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.23575779795646667},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21799001097679138},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11116600036621094},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09594711661338806}],"concepts":[{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.6227519512176514},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6107028722763062},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.5553657412528992},{"id":"https://openalex.org/C8642999","wikidata":"https://www.wikidata.org/wiki/Q4171168","display_name":"Hyperparameter","level":2,"score":0.512861967086792},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48959213495254517},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4454859495162964},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.4304865598678589},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41893115639686584},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.41533833742141724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3874438405036926},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3857002258300781},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3313506543636322},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.23575779795646667},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21799001097679138},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11116600036621094},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09594711661338806},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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":1,"locations":[{"id":"doi:10.1109/cdc.2005.1582739","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582739","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8500000238418579}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W46135816","https://openalex.org/W86543131","https://openalex.org/W1550570395","https://openalex.org/W1572104494","https://openalex.org/W1591699755","https://openalex.org/W1657213141","https://openalex.org/W1936384484","https://openalex.org/W1985101862","https://openalex.org/W2098626000","https://openalex.org/W2158831443","https://openalex.org/W2334018742","https://openalex.org/W2798909945","https://openalex.org/W2904816695","https://openalex.org/W2905148377","https://openalex.org/W6600569696","https://openalex.org/W6601899122","https://openalex.org/W6603515748","https://openalex.org/W6636953887"],"related_works":["https://openalex.org/W2141609920","https://openalex.org/W4286748465","https://openalex.org/W3118984993","https://openalex.org/W2144336328","https://openalex.org/W3196933554","https://openalex.org/W4294619368","https://openalex.org/W4380558509","https://openalex.org/W2169866437","https://openalex.org/W1964286703","https://openalex.org/W2115519811"],"abstract_inverted_index":{"Gaussian":[0,66],"process":[1,67],"(GP)":[2],"regression":[3,99],"is":[4,71],"a":[5],"Bayesian":[6],"nonparametric":[7],"model":[8],"showing":[9],"good":[10],"performance":[11],"in":[12,32,55],"various":[13],"applications.":[14],"However,":[15],"its":[16],"hyperparameter-estimating":[17],"procedure":[18],"may":[19],"contain":[20],"numerous":[21],"matrix":[22],"manipulations":[23],"of":[24,49,72,90],"O(N":[25,36,73],"<sup":[26,37,74],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[27,38,75],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sup>":[28],")":[29,77],"arithmetic":[30],"operations,":[31],"addition":[33],"to":[34],"the":[35,45,86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[39,76],")-level":[40],"storage.":[41],"Motivated":[42],"by":[43],"handling":[44],"real-world":[46],"large":[47,97],"dataset":[48],"24000":[50],"wind-turbine":[51],"data,":[52],"we":[53],"propose":[54],"this":[56,92],"paper":[57],"an":[58],"efficient":[59],"and":[60,79,88],"economical":[61],"Toeplitz-computation":[62],"scheme":[63,70],"for":[64,95],"time-series":[65],"regression.":[68],"The":[69],"operations":[78],"O(N)-level":[80],"memory":[81],"requirement.":[82],"Numerical":[83],"experiments":[84],"substantiate":[85],"effectiveness":[87],"possibility":[89],"using":[91],"Toeplitz":[93],"computation":[94],"very":[96],"datasets":[98],"(such":[100],"as,":[101],"containing":[102],"10000~100000":[103],"data":[104],"points).":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
