{"id":"https://openalex.org/W2068764432","doi":"https://doi.org/10.1007/s10514-008-9095-6","title":"Geodesic Gaussian kernels for value function approximation","display_name":"Geodesic Gaussian kernels for value function approximation","publication_year":2008,"publication_date":"2008-07-09","ids":{"openalex":"https://openalex.org/W2068764432","doi":"https://doi.org/10.1007/s10514-008-9095-6","mag":"2068764432"},"language":"en","primary_location":{"id":"doi:10.1007/s10514-008-9095-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10514-008-9095-6","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072744508","display_name":"Masashi Sugiyama","orcid":"https://orcid.org/0000-0001-6658-6743"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]},{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB","JP"],"is_corresponding":true,"raw_author_name":"Masashi Sugiyama","raw_affiliation_strings":["Department of Computer Science, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro-ku, Tokyo, 152-8552, Japan","School of Informatics, University of Edinburgh, The King\u2019s Buildings, Mayfield Road, Edinburgh EH9, 3JZ, UK","Department of Computer Science, Tokyo Institute of Technology, Tokyo, Japan 152-8552 and School of Informatics, University of Edinburgh, Edinburgh EH9, UK 3JZ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro-ku, Tokyo, 152-8552, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"School of Informatics, University of Edinburgh, The King\u2019s Buildings, Mayfield Road, Edinburgh EH9, 3JZ, UK","institution_ids":["https://openalex.org/I98677209"]},{"raw_affiliation_string":"Department of Computer Science, Tokyo Institute of Technology, Tokyo, Japan 152-8552 and School of Informatics, University of Edinburgh, Edinburgh EH9, UK 3JZ","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073076975","display_name":"Hirotaka Hachiya","orcid":"https://orcid.org/0000-0003-3748-4101"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hirotaka Hachiya","raw_affiliation_strings":["Department of Computer Science, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro-ku, Tokyo, 152-8552, Japan","Department of Computer Science, Tokyo Institute of Technology, Tokyo, Japan 152-8552#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro-ku, Tokyo, 152-8552, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Computer Science, Tokyo Institute of Technology, Tokyo, Japan 152-8552#TAB#","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013012121","display_name":"Christopher Towell","orcid":null},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Christopher Towell","raw_affiliation_strings":["School of Informatics, University of Edinburgh, The King\u2019s Buildings, Mayfield Road, Edinburgh EH9, 3JZ, UK","School of Informatics, University of Edinburgh, Edinburgh EH9, UK 3JZ#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Informatics, University of Edinburgh, The King\u2019s Buildings, Mayfield Road, Edinburgh EH9, 3JZ, UK","institution_ids":["https://openalex.org/I98677209"]},{"raw_affiliation_string":"School of Informatics, University of Edinburgh, Edinburgh EH9, UK 3JZ#TAB#","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069715982","display_name":"Sethu Vijayakumar","orcid":"https://orcid.org/0000-0003-0649-7241"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Sethu Vijayakumar","raw_affiliation_strings":["School of Informatics, University of Edinburgh, The King\u2019s Buildings, Mayfield Road, Edinburgh EH9, 3JZ, UK","School of Informatics, University of Edinburgh, Edinburgh EH9, UK 3JZ#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Informatics, University of Edinburgh, The King\u2019s Buildings, Mayfield Road, Edinburgh EH9, 3JZ, UK","institution_ids":["https://openalex.org/I98677209"]},{"raw_affiliation_string":"School of Informatics, University of Edinburgh, Edinburgh EH9, UK 3JZ#TAB#","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072744508"],"corresponding_institution_ids":["https://openalex.org/I114531698","https://openalex.org/I98677209"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":7.4527,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.96559371,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"3","first_page":"287","last_page":"304"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9984999895095825,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9984999895095825,"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9969000220298767,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9937999844551086,"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/computer-science","display_name":"Computer science","score":0.8314754962921143},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.6881252527236938},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.6628772020339966},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.6586471796035767},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6432316899299622},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5840573310852051},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5281068086624146},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.509807288646698},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49910974502563477},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48783543705940247},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.4732818305492401},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4715675711631775},{"id":"https://openalex.org/keywords/gaussian-function","display_name":"Gaussian function","score":0.4686773419380188},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4404481053352356},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3617938160896301},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3425624966621399},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.25490710139274597},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14919522404670715}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8314754962921143},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6881252527236938},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.6628772020339966},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.6586471796035767},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6432316899299622},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5840573310852051},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5281068086624146},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.509807288646698},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49910974502563477},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48783543705940247},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.4732818305492401},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4715675711631775},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.4686773419380188},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4404481053352356},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3617938160896301},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3425624966621399},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.25490710139274597},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14919522404670715},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10514-008-9095-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10514-008-9095-6","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:CiteSeerX.psu:10.1.1.160.1451","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.160.1451","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://homepages.inf.ed.ac.uk/svijayak/publications/sugiyama-AURO2008.pdf","raw_type":"text"},{"id":"pmh:oai:era.ed.ac.uk:1842/3697","is_oa":false,"landing_page_url":"http://hdl.handle.net/1842/3697","pdf_url":null,"source":{"id":"https://openalex.org/S7407055182","display_name":"ERA","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1514587017","https://openalex.org/W1515851193","https://openalex.org/W1554663460","https://openalex.org/W1577216924","https://openalex.org/W1578099820","https://openalex.org/W1599193893","https://openalex.org/W1679913846","https://openalex.org/W1981025032","https://openalex.org/W2014889099","https://openalex.org/W2062024414","https://openalex.org/W2084224084","https://openalex.org/W2107671127","https://openalex.org/W2120982017","https://openalex.org/W2121863487","https://openalex.org/W2125710293","https://openalex.org/W2129570755","https://openalex.org/W2143958939","https://openalex.org/W2148603752","https://openalex.org/W2153756422","https://openalex.org/W2156974606","https://openalex.org/W2167647761","https://openalex.org/W2169528473","https://openalex.org/W2293177546","https://openalex.org/W2914933231","https://openalex.org/W2990138404","https://openalex.org/W3023786531","https://openalex.org/W3128632218","https://openalex.org/W4210770595","https://openalex.org/W4213332169","https://openalex.org/W4214717370","https://openalex.org/W4255272544","https://openalex.org/W4285719527","https://openalex.org/W4388297464","https://openalex.org/W6634702315","https://openalex.org/W6677916085","https://openalex.org/W7071374342"],"related_works":["https://openalex.org/W2152670157","https://openalex.org/W2160065307","https://openalex.org/W4308702637","https://openalex.org/W2386410636","https://openalex.org/W176737593","https://openalex.org/W2156021013","https://openalex.org/W2903299703","https://openalex.org/W2016648086","https://openalex.org/W3105579180","https://openalex.org/W2808418668"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}