{"id":"https://openalex.org/W4312284819","doi":"https://doi.org/10.1007/978-3-031-22061-6_9","title":"Metric Learning on\u00a0Complex Projective Spaces","display_name":"Metric Learning on\u00a0Complex Projective Spaces","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4312284819","doi":"https://doi.org/10.1007/978-3-031-22061-6_9"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-22061-6_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-22061-6_9","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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/A5066217049","display_name":"Yujin Wu","orcid":"https://orcid.org/0000-0002-9932-9409"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Yujin Wu","raw_affiliation_strings":["University Lille, CNRS, Centrale Lille, UMR 9189 CRIStAL, F-59000, Lille, France","University Lille, CNRS, Centrale Lille, UMR 9189 CRIStAL, Lille, France"],"raw_orcid":"https://orcid.org/0000-0002-9932-9409","affiliations":[{"raw_affiliation_string":"University Lille, CNRS, Centrale Lille, UMR 9189 CRIStAL, F-59000, Lille, France","institution_ids":["https://openalex.org/I7454413","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"University Lille, CNRS, Centrale Lille, UMR 9189 CRIStAL, Lille, France","institution_ids":["https://openalex.org/I7454413","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017977139","display_name":"Mohamed Daoudi","orcid":"https://orcid.org/0000-0003-4219-7860"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I205703379","display_name":"Institut Mines-T\u00e9l\u00e9com","ror":"https://ror.org/025vp2923","country_code":"FR","type":"facility","lineage":["https://openalex.org/I205703379"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamed Daoudi","raw_affiliation_strings":["IMT Nord Europe, Institut Mines-T\u00e9l\u00e9com, University Lille, Centre for Digital Systems, F-59000, Lille, France","University Lille, CNRS, Centrale Lille, Institut Mines-T\u00e9l\u00e9com, UMR 9189 CRIStAL, F-59000, Lille, France","IMT Nord Europe, Institut Mines-T\u00e9l\u00e9com, University Lille, Centre for Digital Systems, Lille, France","University Lille, CNRS, Centrale Lille, Institut Mines-T\u00e9l\u00e9com, UMR 9189 CRIStAL, Lille, France"],"raw_orcid":"https://orcid.org/0000-0003-4219-7860","affiliations":[{"raw_affiliation_string":"IMT Nord Europe, Institut Mines-T\u00e9l\u00e9com, University Lille, Centre for Digital Systems, F-59000, Lille, France","institution_ids":["https://openalex.org/I205703379"]},{"raw_affiliation_string":"University Lille, CNRS, Centrale Lille, Institut Mines-T\u00e9l\u00e9com, UMR 9189 CRIStAL, F-59000, Lille, France","institution_ids":["https://openalex.org/I205703379","https://openalex.org/I7454413","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IMT Nord Europe, Institut Mines-T\u00e9l\u00e9com, University Lille, Centre for Digital Systems, Lille, France","institution_ids":["https://openalex.org/I205703379"]},{"raw_affiliation_string":"University Lille, CNRS, Centrale Lille, Institut Mines-T\u00e9l\u00e9com, UMR 9189 CRIStAL, Lille, France","institution_ids":["https://openalex.org/I205703379","https://openalex.org/I7454413","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066217049"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I7454413"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31609504,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"116","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9979000091552734,"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":0.9979000091552734,"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/T11448","display_name":"Face recognition and analysis","score":0.9965999722480774,"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":0.9941999912261963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discriminative-model","display_name":"Discriminative model","score":0.6032497882843018},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5865482687950134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5672599077224731},{"id":"https://openalex.org/keywords/projective-space","display_name":"Projective space","score":0.5252168774604797},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5189435482025146},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.45505577325820923},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.44771331548690796},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4304737150669098},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4242258667945862},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.4218778908252716},{"id":"https://openalex.org/keywords/landmark","display_name":"Landmark","score":0.4215218424797058},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39400559663772583},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36546796560287476},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34720566868782043},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17414456605911255}],"concepts":[{"id":"https://openalex.org/C97931131","wikidata":"https://www.wikidata.org/wiki/Q5282087","display_name":"Discriminative model","level":2,"score":0.6032497882843018},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5865482687950134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5672599077224731},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.5252168774604797},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5189435482025146},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.45505577325820923},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.44771331548690796},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4304737150669098},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4242258667945862},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.4218778908252716},{"id":"https://openalex.org/C2780297707","wikidata":"https://www.wikidata.org/wiki/Q4895393","display_name":"Landmark","level":2,"score":0.4215218424797058},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39400559663772583},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36546796560287476},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34720566868782043},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17414456605911255},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-22061-6_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-22061-6_9","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1902024696","https://openalex.org/W1922045146","https://openalex.org/W1949591461","https://openalex.org/W1984354005","https://openalex.org/W2035372623","https://openalex.org/W2068376131","https://openalex.org/W2076434944","https://openalex.org/W2084502373","https://openalex.org/W2091804476","https://openalex.org/W2096989899","https://openalex.org/W2103943262","https://openalex.org/W2141990597","https://openalex.org/W2217426128","https://openalex.org/W2805539427","https://openalex.org/W2964454173","https://openalex.org/W2995282879","https://openalex.org/W3099375061","https://openalex.org/W3133161266"],"related_works":["https://openalex.org/W3014089915","https://openalex.org/W2037800015","https://openalex.org/W1536470053","https://openalex.org/W1987836603","https://openalex.org/W4283325893","https://openalex.org/W2037126287","https://openalex.org/W2138893893","https://openalex.org/W2164954524","https://openalex.org/W4239233636","https://openalex.org/W2040731103"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}