{"id":"https://openalex.org/W4290068894","doi":"https://doi.org/10.1007/s10107-022-01865-w","title":"Towards explicit superlinear convergence rate for SR1","display_name":"Towards explicit superlinear convergence rate for SR1","publication_year":2022,"publication_date":"2022-08-06","ids":{"openalex":"https://openalex.org/W4290068894","doi":"https://doi.org/10.1007/s10107-022-01865-w"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-022-01865-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-022-01865-w","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5029403877","display_name":"Haishan Ye","orcid":"https://orcid.org/0000-0002-0242-4857"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haishan Ye","raw_affiliation_strings":["School of Management, Xi\u2019an Jiaotong University, Xi\u2019an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089296349","display_name":"Dachao Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dachao Lin","raw_affiliation_strings":["Academy for Advanced Interdisciplinary Studies, Peking University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academy for Advanced Interdisciplinary Studies, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068724396","display_name":"Xiangyu Chang","orcid":"https://orcid.org/0000-0001-9225-0477"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiangyu Chang","raw_affiliation_strings":["Institute for Interdisciplinary Information Core Technology, Xi\u2019an, China","School of Management, Xi\u2019an Jiaotong University, Xi\u2019an, China"],"raw_orcid":"https://orcid.org/0000-0001-9225-0477","affiliations":[{"raw_affiliation_string":"Institute for Interdisciplinary Information Core Technology, Xi\u2019an, China","institution_ids":[]},{"raw_affiliation_string":"School of Management, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100393616","display_name":"Zhihua Zhang","orcid":"https://orcid.org/0000-0003-3165-5213"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhihua Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Peking University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5068724396"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3323,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.50408033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"199","issue":"1-2","first_page":"1273","last_page":"1303"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9945999979972839,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8142279386520386},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.7827508449554443},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5467986464500427},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5455065369606018},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5407616496086121},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.524043619632721},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4665854573249817},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.44635000824928284},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.4272562265396118},{"id":"https://openalex.org/keywords/convergence-tests","display_name":"Convergence tests","score":0.42524251341819763},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34572285413742065},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3175885081291199},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2658665180206299},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09344837069511414},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09223055839538574},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07085108757019043}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8142279386520386},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.7827508449554443},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5467986464500427},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5455065369606018},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5407616496086121},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.524043619632721},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4665854573249817},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.44635000824928284},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.4272562265396118},{"id":"https://openalex.org/C538505008","wikidata":"https://www.wikidata.org/wiki/Q3979448","display_name":"Convergence tests","level":4,"score":0.42524251341819763},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34572285413742065},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3175885081291199},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2658665180206299},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09344837069511414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09223055839538574},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07085108757019043},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-022-01865-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-022-01865-w","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1966150378","https://openalex.org/W1978245827","https://openalex.org/W1991361287","https://openalex.org/W2003809942","https://openalex.org/W2005136695","https://openalex.org/W2026869423","https://openalex.org/W2034136603","https://openalex.org/W2037114197","https://openalex.org/W2038210983","https://openalex.org/W2045968916","https://openalex.org/W2053964895","https://openalex.org/W2056641273","https://openalex.org/W2078409719","https://openalex.org/W2084236346","https://openalex.org/W2103111465","https://openalex.org/W2129616681","https://openalex.org/W2153532571","https://openalex.org/W2153635508","https://openalex.org/W2295492468","https://openalex.org/W2963941964","https://openalex.org/W3003358926","https://openalex.org/W3012798594","https://openalex.org/W3023696268","https://openalex.org/W3120256427","https://openalex.org/W3126535000","https://openalex.org/W3135112727","https://openalex.org/W4250589301","https://openalex.org/W4300448178","https://openalex.org/W6605729853"],"related_works":["https://openalex.org/W2180233726","https://openalex.org/W2125000378","https://openalex.org/W1815537186","https://openalex.org/W2030548127","https://openalex.org/W2950367550","https://openalex.org/W2950052959","https://openalex.org/W2811008754","https://openalex.org/W1783341668","https://openalex.org/W2050961887","https://openalex.org/W1509345944"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}