{"id":"https://openalex.org/W4409290762","doi":"https://doi.org/10.1007/s10957-025-02644-1","title":"Tight Error Bounds for Log-Determinant Cones Without Constraint Qualifications","display_name":"Tight Error Bounds for Log-Determinant Cones Without Constraint Qualifications","publication_year":2025,"publication_date":"2025-04-09","ids":{"openalex":"https://openalex.org/W4409290762","doi":"https://doi.org/10.1007/s10957-025-02644-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-025-02644-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-025-02644-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-025-02644-1.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10957-025-02644-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100462686","display_name":"Ying Lin","orcid":"https://orcid.org/0000-0001-5087-7941"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Ying Lin","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012467221","display_name":"Scott B. Lindstrom","orcid":"https://orcid.org/0000-0003-4287-4788"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Scott B. Lindstrom","raw_affiliation_strings":["Centre for Optimisation and Decision Science, Curtin University, Bentley, Australia"],"raw_orcid":"https://orcid.org/0000-0003-4287-4788","affiliations":[{"raw_affiliation_string":"Centre for Optimisation and Decision Science, Curtin University, Bentley, Australia","institution_ids":["https://openalex.org/I205640436"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005592247","display_name":"Bruno F. Louren\u00e7o","orcid":"https://orcid.org/0000-0003-2369-0107"},"institutions":[{"id":"https://openalex.org/I4210134673","display_name":"The Institute of Statistical Mathematics","ror":"https://ror.org/03jcejr58","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I4210134673","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Bruno F. Louren\u00e7o","raw_affiliation_strings":["Department of Fundamental Statistical Mathematics, Institute of Statistical Mathematics, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Fundamental Statistical Mathematics, Institute of Statistical Mathematics, Tokyo, Japan","institution_ids":["https://openalex.org/I4210134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065214298","display_name":"Ting Kei Pong","orcid":"https://orcid.org/0000-0001-5862-2986"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Ting Kei Pong","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012467221"],"corresponding_institution_ids":["https://openalex.org/I205640436"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.95,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.80641711,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"205","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9921000003814697,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9921000003814697,"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/T11072","display_name":"Peroxisome Proliferator-Activated Receptors","score":0.961899995803833,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9562000036239624,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/theory-of-computation","display_name":"Theory of computation","score":0.8550199270248413},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7940323948860168},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.7027263641357422},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38653549551963806},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32594430446624756},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22678649425506592},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18430152535438538}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.8550199270248413},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7940323948860168},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.7027263641357422},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38653549551963806},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32594430446624756},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22678649425506592},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18430152535438538}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10957-025-02644-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-025-02644-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-025-02644-1.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/113135","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/113135","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"Journal/Magazine Article"},{"id":"pmh:oai:RePEc:spr:joptap:v:205:y:2025:i:3:d:10.1007_s10957-025-02644-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-025-02644-1","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":{"id":"doi:10.1007/s10957-025-02644-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-025-02644-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-025-02644-1.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6588504878","display_name":"Towards new classes of conic optimization problems","funder_award_id":"23K16844","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8588626415","display_name":"Development of Optimization Mathematical Modeling","funder_award_id":"21H03398","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409290762.pdf","grobid_xml":"https://content.openalex.org/works/W4409290762.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W143236119","https://openalex.org/W1549171236","https://openalex.org/W1632601927","https://openalex.org/W1967662298","https://openalex.org/W2025970186","https://openalex.org/W2033511209","https://openalex.org/W2035412546","https://openalex.org/W2040321731","https://openalex.org/W2044600950","https://openalex.org/W2064380440","https://openalex.org/W2065957732","https://openalex.org/W2071410137","https://openalex.org/W2075706482","https://openalex.org/W2080359169","https://openalex.org/W2082451773","https://openalex.org/W2090158630","https://openalex.org/W2093417350","https://openalex.org/W2132555912","https://openalex.org/W2138779671","https://openalex.org/W2145867192","https://openalex.org/W2166161233","https://openalex.org/W2334285086","https://openalex.org/W2501216490","https://openalex.org/W2778468193","https://openalex.org/W2916763540","https://openalex.org/W2963254198","https://openalex.org/W2963285451","https://openalex.org/W2986179863","https://openalex.org/W3082525919","https://openalex.org/W3097101327","https://openalex.org/W3101080484","https://openalex.org/W3181648109","https://openalex.org/W3182400646","https://openalex.org/W4211049957","https://openalex.org/W4238253035","https://openalex.org/W4250589301","https://openalex.org/W4253029839","https://openalex.org/W4394597665","https://openalex.org/W4396781054"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2028885955","https://openalex.org/W1733367267","https://openalex.org/W2349580982"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"without":[4],"requiring":[5],"any":[6],"constraint":[7],"qualifications,":[8],"we":[9],"establish":[10],"tight":[11],"error":[12,34],"bounds":[13],"for":[14],"the":[15,20,23,26,30,39],"log-determinant":[16,31],"cone,":[17],"which":[18],"is":[19,36],"closure":[21],"of":[22,25,29],"hypograph":[24],"perspective":[27],"function":[28],"function.":[32],"This":[33],"bound":[35],"obtained":[37],"using":[38],"recently":[40],"developed":[41],"framework":[42],"based":[43],"on":[44],"one-step":[45],"facial":[46],"residual":[47],"functions.":[48]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}