{"id":"https://openalex.org/W2773936726","doi":"https://doi.org/10.1007/s10994-018-5729-x","title":"Improved linear embeddings via Lagrange duality","display_name":"Improved linear embeddings via Lagrange duality","publication_year":2018,"publication_date":"2018-06-28","ids":{"openalex":"https://openalex.org/W2773936726","doi":"https://doi.org/10.1007/s10994-018-5729-x","mag":"2773936726"},"language":"en","primary_location":{"id":"doi:10.1007/s10994-018-5729-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-018-5729-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-018-5729-x.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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s10994-018-5729-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112858015","display_name":"Kshiteej Sheth","orcid":null},"institutions":[{"id":"https://openalex.org/I27674431","display_name":"Indian Institute of Technology Gandhinagar","ror":"https://ror.org/0036p5w23","country_code":"IN","type":"education","lineage":["https://openalex.org/I27674431"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Kshiteej Sheth","raw_affiliation_strings":["Indian Institute of Technology, Palaj, Gandhinagar, Gujarat, 382355, India","Indian Institute of Technology, Palaj, Gandhinagar, India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology, Palaj, Gandhinagar, Gujarat, 382355, India","institution_ids":["https://openalex.org/I27674431"]},{"raw_affiliation_string":"Indian Institute of Technology, Palaj, Gandhinagar, India","institution_ids":["https://openalex.org/I27674431"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109547753","display_name":"Dinesh Garg","orcid":null},"institutions":[{"id":"https://openalex.org/I27674431","display_name":"Indian Institute of Technology Gandhinagar","ror":"https://ror.org/0036p5w23","country_code":"IN","type":"education","lineage":["https://openalex.org/I27674431"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Dinesh Garg","raw_affiliation_strings":["Indian Institute of Technology, Palaj, Gandhinagar, Gujarat, 382355, India","Indian Institute of Technology, Palaj, Gandhinagar, India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology, Palaj, Gandhinagar, Gujarat, 382355, India","institution_ids":["https://openalex.org/I27674431"]},{"raw_affiliation_string":"Indian Institute of Technology, Palaj, Gandhinagar, India","institution_ids":["https://openalex.org/I27674431"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061449196","display_name":"Anirban Dasgupta","orcid":"https://orcid.org/0000-0002-8494-3692"},"institutions":[{"id":"https://openalex.org/I27674431","display_name":"Indian Institute of Technology Gandhinagar","ror":"https://ror.org/0036p5w23","country_code":"IN","type":"education","lineage":["https://openalex.org/I27674431"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anirban Dasgupta","raw_affiliation_strings":["Indian Institute of Technology, Palaj, Gandhinagar, Gujarat, 382355, India","Indian Institute of Technology, Palaj, Gandhinagar, India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology, Palaj, Gandhinagar, Gujarat, 382355, India","institution_ids":["https://openalex.org/I27674431"]},{"raw_affiliation_string":"Indian Institute of Technology, Palaj, Gandhinagar, India","institution_ids":["https://openalex.org/I27674431"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112858015"],"corresponding_institution_ids":["https://openalex.org/I27674431"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00643989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"108","issue":"4","first_page":"575","last_page":"594"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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/T10057","display_name":"Face and Expression Recognition","score":0.9732000231742859,"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/T10136","display_name":"Statistical Methods and Inference","score":0.944599986076355,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6155361533164978},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5832295417785645},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5257290601730347},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.5009284019470215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48902782797813416},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.48781993985176086},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48561277985572815},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.47176674008369446},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4690694510936737},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.46427246928215027},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46373263001441956},{"id":"https://openalex.org/keywords/weak-duality","display_name":"Weak duality","score":0.4549197852611542},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.4375948905944824},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.42299431562423706},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.4141008257865906},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4137730002403259},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3847067058086395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3791235685348511},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32908254861831665},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23654362559318542},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14700496196746826},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07236161828041077}],"concepts":[{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6155361533164978},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5832295417785645},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5257290601730347},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.5009284019470215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48902782797813416},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.48781993985176086},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48561277985572815},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.47176674008369446},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4690694510936737},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.46427246928215027},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46373263001441956},{"id":"https://openalex.org/C80682859","wikidata":"https://www.wikidata.org/wiki/Q7977943","display_name":"Weak duality","level":4,"score":0.4549197852611542},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.4375948905944824},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42299431562423706},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.4141008257865906},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4137730002403259},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3847067058086395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3791235685348511},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32908254861831665},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23654362559318542},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14700496196746826},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07236161828041077},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10994-018-5729-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-018-5729-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-018-5729-x.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"},{"id":"pmh:oai:arXiv.org:1711.11527","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.11527","pdf_url":"https://arxiv.org/pdf/1711.11527","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2773936726","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1711.11527","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1711.11527","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1711.11527","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10994-018-5729-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-018-5729-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-018-5729-x.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/G6281907214","display_name":null,"funder_award_id":"SERB-DST","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"},{"id":"https://openalex.org/G7581044764","display_name":null,"funder_award_id":"SERB-DST","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"}],"funders":[{"id":"https://openalex.org/F4320311090","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78"},{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"},{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2773936726.pdf","grobid_xml":"https://content.openalex.org/works/W2773936726.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W2025330374","https://openalex.org/W2059651397","https://openalex.org/W2093480133","https://openalex.org/W2132032691","https://openalex.org/W2137825973","https://openalex.org/W2140589466","https://openalex.org/W2147717514","https://openalex.org/W2979473749","https://openalex.org/W4206742934","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2324871185","https://openalex.org/W2804101935","https://openalex.org/W2952577779","https://openalex.org/W1523958148","https://openalex.org/W3137879310","https://openalex.org/W3036065625","https://openalex.org/W3121465269","https://openalex.org/W929521247","https://openalex.org/W2925125978","https://openalex.org/W2963163730","https://openalex.org/W2161246326","https://openalex.org/W3105674100","https://openalex.org/W2984323001","https://openalex.org/W2990441249","https://openalex.org/W3209899906","https://openalex.org/W2982154129","https://openalex.org/W3099715789","https://openalex.org/W2999732672","https://openalex.org/W1979896658","https://openalex.org/W2928539936"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}