{"id":"https://openalex.org/W1490654344","doi":"https://doi.org/10.1007/s10994-015-5499-7","title":"Generalization bounds for metric and similarity learning","display_name":"Generalization bounds for metric and similarity learning","publication_year":2015,"publication_date":"2015-06-19","ids":{"openalex":"https://openalex.org/W1490654344","doi":"https://doi.org/10.1007/s10994-015-5499-7","mag":"1490654344"},"language":"en","primary_location":{"id":"doi:10.1007/s10994-015-5499-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-015-5499-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-015-5499-7.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"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":"Machine Learning","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s10994-015-5499-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101467863","display_name":"Qiong Cao","orcid":"https://orcid.org/0000-0001-8750-3505"},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Qiong Cao","raw_affiliation_strings":["College of Engineering, Mathematics and Physical Sciences, University of Exeter, Harrison Building, Exeter, EX4 4QF, UK","College of Engineering, Mathematics and Physical Sciences, University of Exeter,Exeter,UK,EX4 4QF"],"affiliations":[{"raw_affiliation_string":"College of Engineering, Mathematics and Physical Sciences, University of Exeter, Harrison Building, Exeter, EX4 4QF, UK","institution_ids":["https://openalex.org/I23923803"]},{"raw_affiliation_string":"College of Engineering, Mathematics and Physical Sciences, University of Exeter,Exeter,UK,EX4 4QF","institution_ids":["https://openalex.org/I23923803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042860923","display_name":"Zheng-Chu Guo","orcid":"https://orcid.org/0009-0001-7134-6725"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng-Chu Guo","raw_affiliation_strings":["Department of Mathematics, Zhejiang University, Hangzhou, 310027, China","Department of Mathematics, Zhejiang University, Hangzhou, China 310027#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang University, Hangzhou, 310027, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang University, Hangzhou, China 310027#TAB#","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048960543","display_name":"Yiming Ying","orcid":null},"institutions":[{"id":"https://openalex.org/I392282","display_name":"University at Albany, State University of New York","ror":"https://ror.org/012zs8222","country_code":"US","type":"education","lineage":["https://openalex.org/I392282"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yiming Ying","raw_affiliation_strings":["Department of Mathematics and Statistics, State University of New York at Albany, Albany, NY, 12222, USA","Department of Mathematics and Statistics, State University of New York at Albany, Albany, USA 12222"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, State University of New York at Albany, Albany, NY, 12222, USA","institution_ids":["https://openalex.org/I392282"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, State University of New York at Albany, Albany, USA 12222","institution_ids":["https://openalex.org/I392282"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101467863"],"corresponding_institution_ids":["https://openalex.org/I23923803"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.0634,"has_fulltext":true,"cited_by_count":100,"citation_normalized_percentile":{"value":0.96869042,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"102","issue":"1","first_page":"115","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9975000023841858,"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":0.9975000023841858,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.9204999804496765,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/generalization","display_name":"Generalization","score":0.7419658899307251},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5998505353927612},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5745707750320435},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.5737401843070984},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5663021802902222},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5642438530921936},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5253152847290039},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.44433072209358215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3813086748123169},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.09992268681526184}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7419658899307251},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5998505353927612},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5745707750320435},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.5737401843070984},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5663021802902222},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5642438530921936},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5253152847290039},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.44433072209358215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3813086748123169},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.09992268681526184},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10994-015-5499-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-015-5499-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-015-5499-7.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"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":"Machine Learning","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10994-015-5499-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-015-5499-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-015-5499-7.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"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":"Machine Learning","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1768086236","display_name":null,"funder_award_id":"2014QNA30","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G3214160367","display_name":null,"funder_award_id":"No. 11","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3492602223","display_name":null,"funder_award_id":"EP/J001384/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5167091242","display_name":null,"funder_award_id":"No. 1","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5783203829","display_name":"Towards a New Generation of Matrix Learning Methods in Machine Learning","funder_award_id":"EP/J001384/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5787824842","display_name":null,"funder_award_id":"11401524","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7726157001","display_name":null,"funder_award_id":"Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8951484681","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1490654344.pdf","grobid_xml":"https://content.openalex.org/works/W1490654344.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1532499126","https://openalex.org/W1544007523","https://openalex.org/W1544839292","https://openalex.org/W1546851689","https://openalex.org/W1608733719","https://openalex.org/W1628307106","https://openalex.org/W1978810924","https://openalex.org/W2014987111","https://openalex.org/W2093357278","https://openalex.org/W2104752854","https://openalex.org/W2109824782","https://openalex.org/W2110654099","https://openalex.org/W2114390956","https://openalex.org/W2115390216","https://openalex.org/W2116731705","https://openalex.org/W2117154949","https://openalex.org/W2129735430","https://openalex.org/W2136261952","https://openalex.org/W2137736727","https://openalex.org/W2152010828","https://openalex.org/W2160634266","https://openalex.org/W2169495281","https://openalex.org/W2171456302","https://openalex.org/W2171798319","https://openalex.org/W2527802255","https://openalex.org/W2579923771","https://openalex.org/W2950740915","https://openalex.org/W2952366910","https://openalex.org/W4246350460","https://openalex.org/W4285719527","https://openalex.org/W4301425558","https://openalex.org/W6632558652","https://openalex.org/W6636447180","https://openalex.org/W6675655370","https://openalex.org/W6685096548","https://openalex.org/W6727918792","https://openalex.org/W7034108470"],"related_works":["https://openalex.org/W2375480909","https://openalex.org/W2353314428","https://openalex.org/W2941091020","https://openalex.org/W2012019886","https://openalex.org/W2166090428","https://openalex.org/W2381021552","https://openalex.org/W2354749003","https://openalex.org/W2377121353","https://openalex.org/W2350529538","https://openalex.org/W2366015234"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":15},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-04T08:04:53.788161","created_date":"2025-10-10T00:00:00"}
