{"id":"https://openalex.org/W2004798013","doi":"https://doi.org/10.1007/s10898-006-9097-x","title":"Two level minimization in multidimensional scaling","display_name":"Two level minimization in multidimensional scaling","publication_year":2006,"publication_date":"2006-10-26","ids":{"openalex":"https://openalex.org/W2004798013","doi":"https://doi.org/10.1007/s10898-006-9097-x","mag":"2004798013"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-006-9097-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-006-9097-x","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","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/A5057964478","display_name":"Antanas \u017dilinskas","orcid":"https://orcid.org/0000-0003-3091-0569"},"institutions":[{"id":"https://openalex.org/I173212132","display_name":"Vilnius University","ror":"https://ror.org/03nadee84","country_code":"LT","type":"education","lineage":["https://openalex.org/I173212132"]},{"id":"https://openalex.org/I74750888","display_name":"Lithuanian Academy of Sciences","ror":"https://ror.org/035gfy236","country_code":"LT","type":"other","lineage":["https://openalex.org/I74750888"]}],"countries":["LT"],"is_corresponding":true,"raw_author_name":"Antanas \u017dilinskas","raw_affiliation_strings":["Institute of Mathematics and Informatics, Akademijos 4, 08663, Vilnius, Lithuania","Institute of Mathematics and Informatics, Vilnius, Lithuania 08663#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, Akademijos 4, 08663, Vilnius, Lithuania","institution_ids":["https://openalex.org/I74750888"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics, Vilnius, Lithuania 08663#TAB#","institution_ids":["https://openalex.org/I173212132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027109127","display_name":"Julius \u017dilinskas","orcid":"https://orcid.org/0000-0003-1294-4298"},"institutions":[{"id":"https://openalex.org/I173212132","display_name":"Vilnius University","ror":"https://ror.org/03nadee84","country_code":"LT","type":"education","lineage":["https://openalex.org/I173212132"]},{"id":"https://openalex.org/I74750888","display_name":"Lithuanian Academy of Sciences","ror":"https://ror.org/035gfy236","country_code":"LT","type":"other","lineage":["https://openalex.org/I74750888"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Julius \u017dilinskas","raw_affiliation_strings":["Institute of Mathematics and Informatics, Akademijos 4, 08663, Vilnius, Lithuania","Institute of Mathematics and Informatics, Vilnius, Lithuania 08663#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, Akademijos 4, 08663, Vilnius, Lithuania","institution_ids":["https://openalex.org/I74750888"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics, Vilnius, Lithuania 08663#TAB#","institution_ids":["https://openalex.org/I173212132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057964478"],"corresponding_institution_ids":["https://openalex.org/I173212132","https://openalex.org/I74750888"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":7.8465,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.96839315,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"38","issue":"4","first_page":"581","last_page":"596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9391000270843506,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9391000270843506,"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/T13608","display_name":"Advanced Computational Techniques in Science and Engineering","score":0.9390000104904175,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T12734","display_name":"Information Systems and Technology Applications","score":0.9366999864578247,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8024967908859253},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.7583229541778564},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6336694955825806},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6218822598457336},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5736494660377502},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.539868175983429},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5318657159805298},{"id":"https://openalex.org/keywords/multidimensional-scaling","display_name":"Multidimensional scaling","score":0.511881947517395},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49958062171936035},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44389069080352783},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1506577730178833},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08757376670837402},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08529970049858093},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07359179854393005}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8024967908859253},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.7583229541778564},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6336694955825806},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6218822598457336},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5736494660377502},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.539868175983429},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5318657159805298},{"id":"https://openalex.org/C91682802","wikidata":"https://www.wikidata.org/wiki/Q620538","display_name":"Multidimensional scaling","level":2,"score":0.511881947517395},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49958062171936035},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44389069080352783},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1506577730178833},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08757376670837402},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08529970049858093},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07359179854393005},{"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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10898-006-9097-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-006-9097-x","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8600000143051147,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W47095233","https://openalex.org/W83606042","https://openalex.org/W574497887","https://openalex.org/W1530715683","https://openalex.org/W1966204015","https://openalex.org/W1973244751","https://openalex.org/W1977626581","https://openalex.org/W1991068820","https://openalex.org/W2001062661","https://openalex.org/W2016621403","https://openalex.org/W2019020850","https://openalex.org/W2053511090","https://openalex.org/W2107422349","https://openalex.org/W2109531651","https://openalex.org/W2142183404","https://openalex.org/W2170120409","https://openalex.org/W2301746362","https://openalex.org/W2429723389","https://openalex.org/W2481239042","https://openalex.org/W2490878716","https://openalex.org/W2495084345","https://openalex.org/W3143291942","https://openalex.org/W4205380271","https://openalex.org/W4205565591","https://openalex.org/W4252316495","https://openalex.org/W4254357140","https://openalex.org/W4300987062","https://openalex.org/W4301173492"],"related_works":["https://openalex.org/W1968390457","https://openalex.org/W3021797069","https://openalex.org/W2198060433","https://openalex.org/W1992376284","https://openalex.org/W2969775752","https://openalex.org/W2018482570","https://openalex.org/W4286784073","https://openalex.org/W2105654193","https://openalex.org/W4236113016","https://openalex.org/W2904642251"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}