{"id":"https://openalex.org/W4399176790","doi":"https://doi.org/10.1007/s10957-024-02462-x","title":"Fast Convex Optimization via Differential Equation with Hessian-Driven Damping and Tikhonov Regularization","display_name":"Fast Convex Optimization via Differential Equation with Hessian-Driven Damping and Tikhonov Regularization","publication_year":2024,"publication_date":"2024-05-30","ids":{"openalex":"https://openalex.org/W4399176790","doi":"https://doi.org/10.1007/s10957-024-02462-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-024-02462-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-024-02462-x","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","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/A5102679264","display_name":"Gangfan Zhong","orcid":"https://orcid.org/0009-0000-5446-6613"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]},{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gangfan Zhong","raw_affiliation_strings":["Beijing University of Technology, Beijing, 100124, China","South China Normal University, Guangzhou, 510631, Guangdong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"South China Normal University, Guangzhou, 510631, Guangdong, China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029270343","display_name":"Xiaozhe Hu","orcid":"https://orcid.org/0000-0001-7533-0416"},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaozhe Hu","raw_affiliation_strings":["Tufts University, Medford, MA, 02155, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tufts University, Medford, MA, 02155, USA","institution_ids":["https://openalex.org/I121934306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031320451","display_name":"Ming Tang","orcid":"https://orcid.org/0000-0001-7672-2593"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]},{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ming Tang","raw_affiliation_strings":["Guangzhou University, Guangzhou, 510006, Guangdong, China","South China Normal University, Guangzhou, 510631, Guangdong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangzhou University, Guangzhou, 510006, Guangdong, China","institution_ids":["https://openalex.org/I37987034"]},{"raw_affiliation_string":"South China Normal University, Guangzhou, 510631, Guangdong, China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066462438","display_name":"Liuqiang Zhong","orcid":"https://orcid.org/0000-0002-2059-5318"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liuqiang Zhong","raw_affiliation_strings":["South China Normal University, Guangzhou, 510631, Guangdong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"South China Normal University, Guangzhou, 510631, Guangdong, China","institution_ids":["https://openalex.org/I187400657"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5031320451"],"corresponding_institution_ids":["https://openalex.org/I187400657","https://openalex.org/I37987034"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.0149,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67845156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"203","issue":"1","first_page":"42","last_page":"82"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.8882250785827637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7527642250061035},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7480461597442627},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.6557234525680542},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6125439405441284},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5515109896659851},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5374404191970825},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.47873255610466003},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4784855246543884},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4433088004589081},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.4167152941226959},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32998204231262207},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.2865586280822754},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.164507657289505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1218799352645874},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1189098060131073}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.8882250785827637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7527642250061035},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7480461597442627},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.6557234525680542},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6125439405441284},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5515109896659851},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5374404191970825},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.47873255610466003},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4784855246543884},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4433088004589081},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.4167152941226959},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32998204231262207},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.2865586280822754},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.164507657289505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1218799352645874},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1189098060131073},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-024-02462-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-024-02462-x","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:203:y:2024:i:1:d:10.1007_s10957-024-02462-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-024-02462-x","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5947961930","display_name":"\u7535\u78c1\u573a\u95ee\u9898\u6df7\u5408\u6709\u9650\u5143\u79bb\u6563\u7cfb\u7edf\u7684\u5feb\u901f\u7b97\u6cd5\u7814\u7a76","funder_award_id":"12071160","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1484739396","https://openalex.org/W1544770838","https://openalex.org/W1545761024","https://openalex.org/W1569098853","https://openalex.org/W1968699683","https://openalex.org/W2302721240","https://openalex.org/W2963022670","https://openalex.org/W2963237896","https://openalex.org/W2963433607","https://openalex.org/W2964153427","https://openalex.org/W2964216752","https://openalex.org/W3035316500","https://openalex.org/W3102391325","https://openalex.org/W3105274196","https://openalex.org/W3133520122","https://openalex.org/W3191545112","https://openalex.org/W4237238238","https://openalex.org/W4240391021","https://openalex.org/W4280511288","https://openalex.org/W6600120041"],"related_works":["https://openalex.org/W2533995846","https://openalex.org/W3131586246","https://openalex.org/W2611031068","https://openalex.org/W1704347466","https://openalex.org/W4283017538","https://openalex.org/W1996936972","https://openalex.org/W2996388602","https://openalex.org/W2023266244","https://openalex.org/W2080556621","https://openalex.org/W1985264741"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}
