{"id":"https://openalex.org/W1590368632","doi":"https://doi.org/10.1007/978-0-387-09823-4_4","title":"Geometric Methods for Feature Extraction and Dimensional Reduction - A Guided Tour","display_name":"Geometric Methods for Feature Extraction and Dimensional Reduction - A Guided Tour","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1590368632","doi":"https://doi.org/10.1007/978-0-387-09823-4_4","mag":"1590368632"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-09823-4_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-09823-4_4","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Data Mining and Knowledge Discovery Handbook","raw_type":"book-chapter"},"type":"book-chapter","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/A5034285513","display_name":"Christopher J. C. Burges","orcid":null},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Christopher J.C. Burges","raw_affiliation_strings":["Microsoft Research, Redmond, Washington, 98052-6399, USA"],"affiliations":[{"raw_affiliation_string":"Microsoft Research, Redmond, Washington, 98052-6399, USA","institution_ids":["https://openalex.org/I1290206253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034285513"],"corresponding_institution_ids":["https://openalex.org/I1290206253"],"apc_list":null,"apc_paid":null,"fwci":7.2005,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.98425455,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"53","last_page":"82"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9998000264167786,"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":0.9998000264167786,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9983999729156494,"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/isomap","display_name":"Isomap","score":0.9798898100852966},{"id":"https://openalex.org/keywords/nonlinear-dimensionality-reduction","display_name":"Nonlinear dimensionality reduction","score":0.7901341319084167},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.7418670654296875},{"id":"https://openalex.org/keywords/manifold-alignment","display_name":"Manifold alignment","score":0.7216382026672363},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.6539079546928406},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5740706920623779},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5686556100845337},{"id":"https://openalex.org/keywords/multidimensional-scaling","display_name":"Multidimensional scaling","score":0.5673287510871887},{"id":"https://openalex.org/keywords/kernel-principal-component-analysis","display_name":"Kernel principal component analysis","score":0.5297616124153137},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5290521383285522},{"id":"https://openalex.org/keywords/spectral-clustering","display_name":"Spectral clustering","score":0.49871158599853516},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48270606994628906},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47980716824531555},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.45030415058135986},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.4411773085594177},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4270055890083313},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4257581830024719},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.27844130992889404},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.18560457229614258},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.1503482162952423},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10108509659767151}],"concepts":[{"id":"https://openalex.org/C2778626561","wikidata":"https://www.wikidata.org/wiki/Q6086067","display_name":"Isomap","level":4,"score":0.9798898100852966},{"id":"https://openalex.org/C151876577","wikidata":"https://www.wikidata.org/wiki/Q7049464","display_name":"Nonlinear dimensionality reduction","level":3,"score":0.7901341319084167},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.7418670654296875},{"id":"https://openalex.org/C153120616","wikidata":"https://www.wikidata.org/wiki/Q17068315","display_name":"Manifold alignment","level":4,"score":0.7216382026672363},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.6539079546928406},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5740706920623779},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5686556100845337},{"id":"https://openalex.org/C91682802","wikidata":"https://www.wikidata.org/wiki/Q620538","display_name":"Multidimensional scaling","level":2,"score":0.5673287510871887},{"id":"https://openalex.org/C182335926","wikidata":"https://www.wikidata.org/wiki/Q17093020","display_name":"Kernel principal component analysis","level":4,"score":0.5297616124153137},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5290521383285522},{"id":"https://openalex.org/C105611402","wikidata":"https://www.wikidata.org/wiki/Q2976589","display_name":"Spectral clustering","level":3,"score":0.49871158599853516},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48270606994628906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47980716824531555},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.45030415058135986},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.4411773085594177},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4270055890083313},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4257581830024719},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.27844130992889404},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.18560457229614258},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.1503482162952423},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10108509659767151},{"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-09823-4_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-09823-4_4","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Data Mining and Knowledge Discovery Handbook","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W13740476","https://openalex.org/W51669927","https://openalex.org/W53596869","https://openalex.org/W179694669","https://openalex.org/W391578156","https://openalex.org/W1526146785","https://openalex.org/W1538131130","https://openalex.org/W1548802052","https://openalex.org/W1555711139","https://openalex.org/W1560724230","https://openalex.org/W1578099820","https://openalex.org/W1586776267","https://openalex.org/W1587720067","https://openalex.org/W1600840636","https://openalex.org/W1680579736","https://openalex.org/W1792341371","https://openalex.org/W1966347620","https://openalex.org/W1968104963","https://openalex.org/W2038845890","https://openalex.org/W2053186076","https://openalex.org/W2054804336","https://openalex.org/W2082612735","https://openalex.org/W2087347434","https://openalex.org/W2091830613","https://openalex.org/W2091886411","https://openalex.org/W2097308346","https://openalex.org/W2100488848","https://openalex.org/W2105732805","https://openalex.org/W2109025268","https://openalex.org/W2112545207","https://openalex.org/W2116810533","https://openalex.org/W2121947440","https://openalex.org/W2125027820","https://openalex.org/W2133324003","https://openalex.org/W2133487567","https://openalex.org/W2137902180","https://openalex.org/W2140095548","https://openalex.org/W2146610201","https://openalex.org/W2153934661","https://openalex.org/W2156287497","https://openalex.org/W2159174312","https://openalex.org/W2161831609","https://openalex.org/W2165874743","https://openalex.org/W2171009857","https://openalex.org/W2294460823","https://openalex.org/W2324151815","https://openalex.org/W2327230547","https://openalex.org/W2432517183","https://openalex.org/W2610857016","https://openalex.org/W2798909945","https://openalex.org/W2981264952","https://openalex.org/W3017143921","https://openalex.org/W3023786531","https://openalex.org/W3097096317","https://openalex.org/W3097169496","https://openalex.org/W3099839986","https://openalex.org/W3146902415","https://openalex.org/W4205380271","https://openalex.org/W4205778870","https://openalex.org/W4230962939","https://openalex.org/W4234610333","https://openalex.org/W4235652767","https://openalex.org/W4238957295","https://openalex.org/W4240861491","https://openalex.org/W4252316495","https://openalex.org/W4395684075","https://openalex.org/W6672247373","https://openalex.org/W6676014314","https://openalex.org/W6684578312","https://openalex.org/W6993211581"],"related_works":["https://openalex.org/W2375518579","https://openalex.org/W2366334780","https://openalex.org/W2383781046","https://openalex.org/W2153934661","https://openalex.org/W2014252850","https://openalex.org/W2385862161","https://openalex.org/W3089741428","https://openalex.org/W2283921858","https://openalex.org/W2170058261","https://openalex.org/W2129138585"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}