{"id":"https://openalex.org/W2019205337","doi":"https://doi.org/10.1007/s10287-013-0181-7","title":"Numerical study of learning algorithms on Stiefel manifold","display_name":"Numerical study of learning algorithms on Stiefel manifold","publication_year":2013,"publication_date":"2013-08-09","ids":{"openalex":"https://openalex.org/W2019205337","doi":"https://doi.org/10.1007/s10287-013-0181-7","mag":"2019205337"},"language":"en","primary_location":{"id":"doi:10.1007/s10287-013-0181-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10287-013-0181-7","pdf_url":null,"source":{"id":"https://openalex.org/S28822639","display_name":"Computational Management Science","issn_l":"1619-697X","issn":["1619-697X","1619-6988"],"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":"Computational Management Science","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/A5088569462","display_name":"Takafumi Kanamori","orcid":"https://orcid.org/0000-0001-6878-5850"},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takafumi Kanamori","raw_affiliation_strings":["Nagoya University, Furocho, Chikusa-ku, Nagoya-shi, Aichi,  464-8603, Japan","#N##TAB##TAB##TAB##TAB# Nagoya University#N##TAB##TAB##TAB#"],"affiliations":[{"raw_affiliation_string":"Nagoya University, Furocho, Chikusa-ku, Nagoya-shi, Aichi,  464-8603, Japan","institution_ids":["https://openalex.org/I60134161"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Nagoya University#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I60134161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101795095","display_name":"Akiko Takeda","orcid":"https://orcid.org/0000-0002-8846-4496"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akiko Takeda","raw_affiliation_strings":["The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan","The University of Tokyo"],"affiliations":[{"raw_affiliation_string":"The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"The University of Tokyo","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088569462"],"corresponding_institution_ids":["https://openalex.org/I60134161"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.8277,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76175919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"11","issue":"4","first_page":"319","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10057","display_name":"Face and Expression Recognition","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9955000281333923,"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":0.9868999719619751,"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/stiefel-manifold","display_name":"Stiefel manifold","score":0.8151018619537354},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5521921515464783},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4955500364303589},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.4897189438343048},{"id":"https://openalex.org/keywords/orthonormality","display_name":"Orthonormality","score":0.47393471002578735},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.47148486971855164},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4583423137664795},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4434952139854431},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4138174057006836},{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.39730706810951233},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3191361129283905},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2409822940826416},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.11763745546340942}],"concepts":[{"id":"https://openalex.org/C612670","wikidata":"https://www.wikidata.org/wiki/Q7616373","display_name":"Stiefel manifold","level":2,"score":0.8151018619537354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5521921515464783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4955500364303589},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.4897189438343048},{"id":"https://openalex.org/C92951342","wikidata":"https://www.wikidata.org/wiki/Q1411166","display_name":"Orthonormality","level":3,"score":0.47393471002578735},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.47148486971855164},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4583423137664795},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4434952139854431},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4138174057006836},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.39730706810951233},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3191361129283905},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2409822940826416},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.11763745546340942},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10287-013-0181-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10287-013-0181-7","pdf_url":null,"source":{"id":"https://openalex.org/S28822639","display_name":"Computational Management Science","issn_l":"1619-697X","issn":["1619-697X","1619-6988"],"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":"Computational Management Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:comgts:v:11:y:2014:i:4:p:319-340","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10287-013-0181-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W2115716","https://openalex.org/W12822606","https://openalex.org/W91088564","https://openalex.org/W629538245","https://openalex.org/W1480376833","https://openalex.org/W1569098853","https://openalex.org/W1590479971","https://openalex.org/W1597107881","https://openalex.org/W1663973292","https://openalex.org/W1760551737","https://openalex.org/W1804110266","https://openalex.org/W1974314970","https://openalex.org/W1975900269","https://openalex.org/W2003239136","https://openalex.org/W2009371655","https://openalex.org/W2045512849","https://openalex.org/W2164278908","https://openalex.org/W2266946488","https://openalex.org/W2296319761","https://openalex.org/W2560674852","https://openalex.org/W2582743722","https://openalex.org/W3023786531","https://openalex.org/W4205293427","https://openalex.org/W4212863985","https://openalex.org/W4242100153","https://openalex.org/W4250589301","https://openalex.org/W4251616545","https://openalex.org/W4291236916","https://openalex.org/W4292363360","https://openalex.org/W4301491118"],"related_works":["https://openalex.org/W2013801824","https://openalex.org/W1529452180","https://openalex.org/W1496788307","https://openalex.org/W1591253575","https://openalex.org/W2149054915","https://openalex.org/W2138614992","https://openalex.org/W2013322017","https://openalex.org/W2112487673","https://openalex.org/W2783326978","https://openalex.org/W1521148900"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
