{"id":"https://openalex.org/W4412428850","doi":"https://doi.org/10.1007/s10589-025-00712-w","title":"On the robust isolated calmness of a class of nonsmooth optimizations on Riemannian manifolds and its applications","display_name":"On the robust isolated calmness of a class of nonsmooth optimizations on Riemannian manifolds and its applications","publication_year":2025,"publication_date":"2025-07-15","ids":{"openalex":"https://openalex.org/W4412428850","doi":"https://doi.org/10.1007/s10589-025-00712-w"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-025-00712-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-025-00712-w","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization 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/A5054041500","display_name":"Chenglong Bao","orcid":"https://orcid.org/0000-0002-1201-1212"},"institutions":[{"id":"https://openalex.org/I4403928416","display_name":"Beijing Institute of Mathematical Sciences and Applications","ror":"https://ror.org/05t6hvr95","country_code":null,"type":"education","lineage":["https://openalex.org/I4403928416","https://openalex.org/I99065089"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chenglong Bao","raw_affiliation_strings":["Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, People\u2019s Republic of China","Yau Mathematical Sciences Center, Tsinghua University, Beijing, People\u2019s Republic of China","Yau Mathematical Sciences Center, Tsinghua University, Beijing, People's Republic of China","Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4403928416"]},{"raw_affiliation_string":"Yau Mathematical Sciences Center, Tsinghua University, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Yau Mathematical Sciences Center, Tsinghua University, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4403928416"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057244957","display_name":"Chao Ding","orcid":"https://orcid.org/0000-0002-4228-6700"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Ding","raw_affiliation_strings":["Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People\u2019s Republic of China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People\u2019s Republic of China","State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People\u2019s Republic of China","State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210165038"]},{"raw_affiliation_string":"State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210120485"]},{"raw_affiliation_string":"State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People's Republic of China","institution_ids":["https://openalex.org/I4210120485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102297259","display_name":"Yuexin Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuexin Zhou","raw_affiliation_strings":["Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People\u2019s Republic of China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People\u2019s Republic of China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People's Republic of China","Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210165038"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People's Republic of China","institution_ids":["https://openalex.org/I4210165038"]},{"raw_affiliation_string":"Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People's Republic of China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054041500"],"corresponding_institution_ids":["https://openalex.org/I4403928416","https://openalex.org/I99065089"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23169785,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"92","issue":"2","first_page":"709","last_page":"754"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9987999796867371,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/calmness","display_name":"Calmness","score":0.9486747980117798},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8753238916397095},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6037808060646057},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.49653226137161255},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4496696889400482},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3764970898628235},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3361974060535431},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3354005813598633},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09335723519325256},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.077140212059021}],"concepts":[{"id":"https://openalex.org/C2778712213","wikidata":"https://www.wikidata.org/wiki/Q20740046","display_name":"Calmness","level":2,"score":0.9486747980117798},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8753238916397095},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6037808060646057},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.49653226137161255},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4496696889400482},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3764970898628235},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3361974060535431},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3354005813598633},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09335723519325256},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.077140212059021},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10589-025-00712-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-025-00712-w","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2471203468","display_name":null,"funder_award_id":"2021YFA1000300","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7430312645","display_name":null,"funder_award_id":"12271291","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8499130956","display_name":null,"funder_award_id":"2021YFA1000301","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W147998453","https://openalex.org/W1528330203","https://openalex.org/W1543573801","https://openalex.org/W1550635507","https://openalex.org/W1601741115","https://openalex.org/W1669104078","https://openalex.org/W1953936588","https://openalex.org/W1966627654","https://openalex.org/W1972649461","https://openalex.org/W1975900269","https://openalex.org/W2004209776","https://openalex.org/W2041037772","https://openalex.org/W2042948547","https://openalex.org/W2046019310","https://openalex.org/W2057624533","https://openalex.org/W2058078260","https://openalex.org/W2065103551","https://openalex.org/W2074190491","https://openalex.org/W2084478514","https://openalex.org/W2092675215","https://openalex.org/W2104417092","https://openalex.org/W2113600901","https://openalex.org/W2137213153","https://openalex.org/W2141640731","https://openalex.org/W2144322083","https://openalex.org/W2147191758","https://openalex.org/W2198679917","https://openalex.org/W2266965707","https://openalex.org/W2510790452","https://openalex.org/W2768544141","https://openalex.org/W2791183871","https://openalex.org/W2797479470","https://openalex.org/W2803862123","https://openalex.org/W2963704853","https://openalex.org/W2999695911","https://openalex.org/W3014571813","https://openalex.org/W3102552524","https://openalex.org/W3103831263","https://openalex.org/W3135904811","https://openalex.org/W3186021868","https://openalex.org/W4205293427","https://openalex.org/W4205755138","https://openalex.org/W4231183558","https://openalex.org/W4248613038","https://openalex.org/W4323539420","https://openalex.org/W4398135734","https://openalex.org/W6600473871","https://openalex.org/W6601671484","https://openalex.org/W6601700763","https://openalex.org/W6607919353","https://openalex.org/W6686515626"],"related_works":["https://openalex.org/W4286813019","https://openalex.org/W2358490822","https://openalex.org/W3086329158","https://openalex.org/W3011250038","https://openalex.org/W2131815933","https://openalex.org/W2946213799","https://openalex.org/W2036833017","https://openalex.org/W2079252788","https://openalex.org/W3030155790","https://openalex.org/W4384575229"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}
