{"id":"https://openalex.org/W1547279885","doi":"https://doi.org/10.1007/978-3-642-03040-6_114","title":"Bregman Divergences and Multi-dimensional Scaling","display_name":"Bregman Divergences and Multi-dimensional Scaling","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1547279885","doi":"https://doi.org/10.1007/978-3-642-03040-6_114","mag":"1547279885"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-03040-6_114","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03040-6_114","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/A5111213888","display_name":"Pei Ling Lai","orcid":"https://orcid.org/0009-0001-6282-8204"},"institutions":[{"id":"https://openalex.org/I92582371","display_name":"Southern Taiwan University of Science and Technology","ror":"https://ror.org/0029n1t76","country_code":"TW","type":"education","lineage":["https://openalex.org/I92582371"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Pei Ling Lai","raw_affiliation_strings":["Southern Taiwan University, Tainan, Taiwan"],"affiliations":[{"raw_affiliation_string":"Southern Taiwan University, Tainan, Taiwan","institution_ids":["https://openalex.org/I92582371"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038508966","display_name":"Colin Fyfe","orcid":null},"institutions":[{"id":"https://openalex.org/I868834043","display_name":"University of the West of Scotland","ror":"https://ror.org/04w3d2v20","country_code":"GB","type":"education","lineage":["https://openalex.org/I868834043"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Colin Fyfe","raw_affiliation_strings":["University of the West of Scotland, UK"],"affiliations":[{"raw_affiliation_string":"University of the West of Scotland, UK","institution_ids":["https://openalex.org/I868834043"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111213888"],"corresponding_institution_ids":["https://openalex.org/I92582371"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.0261,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87415982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"935","last_page":"942"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.978600025177002,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.978600025177002,"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9715999960899353,"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"}},{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.968999981880188,"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/bregman-divergence","display_name":"Bregman divergence","score":0.6693933010101318},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6520023345947266},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6493132710456848},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6169069409370422},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.567793607711792},{"id":"https://openalex.org/keywords/multidimensional-scaling","display_name":"Multidimensional scaling","score":0.5542294383049011},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.43641960620880127},{"id":"https://openalex.org/keywords/exponential-family","display_name":"Exponential family","score":0.4281909167766571},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.42515209317207336},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40546438097953796},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38724827766418457},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3788147270679474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3477637767791748},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34013450145721436},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3334035873413086},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3230365514755249},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19267061352729797},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.15496128797531128},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12821727991104126},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08492180705070496}],"concepts":[{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.6693933010101318},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6520023345947266},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6493132710456848},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6169069409370422},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.567793607711792},{"id":"https://openalex.org/C91682802","wikidata":"https://www.wikidata.org/wiki/Q620538","display_name":"Multidimensional scaling","level":2,"score":0.5542294383049011},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.43641960620880127},{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.4281909167766571},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.42515209317207336},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40546438097953796},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38724827766418457},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3788147270679474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3477637767791748},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34013450145721436},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3334035873413086},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3230365514755249},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19267061352729797},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.15496128797531128},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12821727991104126},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08492180705070496},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-03040-6_114","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03040-6_114","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1506313179","https://openalex.org/W1742512077","https://openalex.org/W2040711469","https://openalex.org/W2046947077","https://openalex.org/W2075057405","https://openalex.org/W2096765209","https://openalex.org/W2116327295","https://openalex.org/W2135001774","https://openalex.org/W4254223024"],"related_works":["https://openalex.org/W4241372895","https://openalex.org/W4390092220","https://openalex.org/W3159542909","https://openalex.org/W2142531123","https://openalex.org/W4220876393","https://openalex.org/W2088866488","https://openalex.org/W291316263","https://openalex.org/W4392097267","https://openalex.org/W4312518512","https://openalex.org/W1572250102"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}