{"id":"https://openalex.org/W83096592","doi":"https://doi.org/10.1007/978-3-319-14612-6_1","title":"Convex Envelopes for Low Rank Approximation","display_name":"Convex Envelopes for Low Rank Approximation","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W83096592","doi":"https://doi.org/10.1007/978-3-319-14612-6_1","mag":"83096592"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-14612-6_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-14612-6_1","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/A5056112272","display_name":"Viktor Larsson","orcid":"https://orcid.org/0000-0001-8427-7215"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]},{"id":"https://openalex.org/I1279596006","display_name":"Statistics Sweden","ror":"https://ror.org/05x7wz523","country_code":"SE","type":"government","lineage":["https://openalex.org/I1279596006"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Viktor Larsson","raw_affiliation_strings":["Centre for Mathematical Sciences, Lund University, Sweden"],"affiliations":[{"raw_affiliation_string":"Centre for Mathematical Sciences, Lund University, Sweden","institution_ids":["https://openalex.org/I1279596006","https://openalex.org/I187531555"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101505222","display_name":"Carl Olsson","orcid":"https://orcid.org/0000-0003-3545-7695"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]},{"id":"https://openalex.org/I1279596006","display_name":"Statistics Sweden","ror":"https://ror.org/05x7wz523","country_code":"SE","type":"government","lineage":["https://openalex.org/I1279596006"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Carl Olsson","raw_affiliation_strings":["Centre for Mathematical Sciences, Lund University, Sweden"],"affiliations":[{"raw_affiliation_string":"Centre for Mathematical Sciences, Lund University, Sweden","institution_ids":["https://openalex.org/I1279596006","https://openalex.org/I187531555"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056112272"],"corresponding_institution_ids":["https://openalex.org/I1279596006","https://openalex.org/I187531555"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":23.6117,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.99150398,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.996399998664856,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.992900013923645,"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/rank","display_name":"Rank (graph theory)","score":0.6769607663154602},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6337965726852417},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.6246157884597778},{"id":"https://openalex.org/keywords/matrix-completion","display_name":"Matrix completion","score":0.5855462551116943},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5831947922706604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.558733344078064},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.5543429851531982},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5213338732719421},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5098170638084412},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5093060731887817},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4881892800331116},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4861297309398651},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.48328331112861633},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33086422085762024},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3049848973751068},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17312195897102356},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06273788213729858}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6769607663154602},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6337965726852417},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.6246157884597778},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.5855462551116943},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5831947922706604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.558733344078064},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.5543429851531982},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5213338732719421},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5098170638084412},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5093060731887817},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4881892800331116},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4861297309398651},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.48328331112861633},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33086422085762024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3049848973751068},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17312195897102356},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06273788213729858},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-14612-6_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-14612-6_1","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"},{"id":"pmh:oai:lup.lub.lu.se:b1b09423-fea4-4528-aa22-3e1f67c1f643","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/7790959","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1611-3349","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W832971097","https://openalex.org/W1904239554","https://openalex.org/W1943001502","https://openalex.org/W1969698720","https://openalex.org/W1995273075","https://openalex.org/W2000157792","https://openalex.org/W2004026774","https://openalex.org/W2006483807","https://openalex.org/W2026453646","https://openalex.org/W2066085919","https://openalex.org/W2078113769","https://openalex.org/W2094394132","https://openalex.org/W2103305137","https://openalex.org/W2103972604","https://openalex.org/W2123713213","https://openalex.org/W2124600577","https://openalex.org/W2134810690","https://openalex.org/W2138835141","https://openalex.org/W2144730813","https://openalex.org/W2163394682","https://openalex.org/W2164278908","https://openalex.org/W3151922143"],"related_works":["https://openalex.org/W2952489973","https://openalex.org/W4300776969","https://openalex.org/W1995866744","https://openalex.org/W3151119106","https://openalex.org/W4301510853","https://openalex.org/W2949853248","https://openalex.org/W2060136900","https://openalex.org/W2147612952","https://openalex.org/W2607116528","https://openalex.org/W83096592"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}