{"id":"https://openalex.org/W2795213472","doi":"https://doi.org/10.1007/s10898-018-0645-y","title":"A simplicial homology algorithm for Lipschitz optimisation","display_name":"A simplicial homology algorithm for Lipschitz optimisation","publication_year":2018,"publication_date":"2018-03-27","ids":{"openalex":"https://openalex.org/W2795213472","doi":"https://doi.org/10.1007/s10898-018-0645-y","mag":"2795213472"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-018-0645-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-018-0645-y","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","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/A5005185264","display_name":"Stefan Endres","orcid":"https://orcid.org/0000-0002-9501-2762"},"institutions":[{"id":"https://openalex.org/I69552723","display_name":"University of Pretoria","ror":"https://ror.org/00g0p6g84","country_code":"ZA","type":"education","lineage":["https://openalex.org/I69552723"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Stefan C. Endres","raw_affiliation_strings":["Institute of Applied Materials, Department of Chemical Engineering, University of Pretoria, Pretoria, South Africa"],"raw_orcid":"https://orcid.org/0000-0002-9501-2762","affiliations":[{"raw_affiliation_string":"Institute of Applied Materials, Department of Chemical Engineering, University of Pretoria, Pretoria, South Africa","institution_ids":["https://openalex.org/I69552723"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034509126","display_name":"Carl Sandrock","orcid":"https://orcid.org/0000-0003-2828-5186"},"institutions":[{"id":"https://openalex.org/I69552723","display_name":"University of Pretoria","ror":"https://ror.org/00g0p6g84","country_code":"ZA","type":"education","lineage":["https://openalex.org/I69552723"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Carl Sandrock","raw_affiliation_strings":["Department of Chemical Engineering, University of Pretoria, Pretoria, South Africa"],"raw_orcid":"https://orcid.org/0000-0003-2828-5186","affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of Pretoria, Pretoria, South Africa","institution_ids":["https://openalex.org/I69552723"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064497966","display_name":"Walter W. Focke","orcid":"https://orcid.org/0000-0002-8512-8948"},"institutions":[{"id":"https://openalex.org/I69552723","display_name":"University of Pretoria","ror":"https://ror.org/00g0p6g84","country_code":"ZA","type":"education","lineage":["https://openalex.org/I69552723"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Walter W. Focke","raw_affiliation_strings":["Institute of Applied Materials, Department of Chemical Engineering, University of Pretoria, Pretoria, South Africa"],"raw_orcid":"https://orcid.org/0000-0002-8512-8948","affiliations":[{"raw_affiliation_string":"Institute of Applied Materials, Department of Chemical Engineering, University of Pretoria, Pretoria, South Africa","institution_ids":["https://openalex.org/I69552723"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005185264"],"corresponding_institution_ids":["https://openalex.org/I69552723"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":14.3222,"has_fulltext":false,"cited_by_count":190,"citation_normalized_percentile":{"value":0.99491329,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"72","issue":"2","first_page":"181","last_page":"217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9939000010490417,"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":0.9939000010490417,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9627000093460083,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9549000263214111,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7607881426811218},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5514928102493286},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5473029017448425},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.47014883160591125},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.4693385660648346},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.43454471230506897},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1317494809627533},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09093454480171204}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7607881426811218},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5514928102493286},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5473029017448425},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.47014883160591125},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.4693385660648346},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.43454471230506897},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1317494809627533},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09093454480171204},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10898-018-0645-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-018-0645-y","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:72:y:2018:i:2:d:10.1007_s10898-018-0645-y","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-018-0645-y","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"},{"id":"pmh:oai:repository.up.ac.za:2263/64460","is_oa":false,"landing_page_url":"http://hdl.handle.net/2263/64460","pdf_url":null,"source":{"id":"https://openalex.org/S4306401870","display_name":"UpSpace Institutional Repository (University of Pretoria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I69552723","host_organization_name":"University of Pretoria","host_organization_lineage":["https://openalex.org/I69552723"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Postprint Article"},{"id":"pmh:oai:repository.up.ac.za:2263/65186","is_oa":false,"landing_page_url":"http://hdl.handle.net/2263/65186","pdf_url":null,"source":{"id":"https://openalex.org/S4306401870","display_name":"UpSpace Institutional Repository (University of Pretoria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I69552723","host_organization_name":"University of Pretoria","host_organization_lineage":["https://openalex.org/I69552723"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dissertation"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G8994185963","display_name":null,"funder_award_id":"92781","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W10722402","https://openalex.org/W60763295","https://openalex.org/W125730541","https://openalex.org/W199277071","https://openalex.org/W631645519","https://openalex.org/W1500527815","https://openalex.org/W1550383906","https://openalex.org/W1595159159","https://openalex.org/W1607458528","https://openalex.org/W1768004745","https://openalex.org/W1875894172","https://openalex.org/W1972642911","https://openalex.org/W1986602910","https://openalex.org/W1988332918","https://openalex.org/W2001266573","https://openalex.org/W2013785414","https://openalex.org/W2021445310","https://openalex.org/W2027621512","https://openalex.org/W2029778093","https://openalex.org/W2063240134","https://openalex.org/W2067105073","https://openalex.org/W2075793174","https://openalex.org/W2084937640","https://openalex.org/W2091785502","https://openalex.org/W2093625674","https://openalex.org/W2101942472","https://openalex.org/W2110446256","https://openalex.org/W2113741278","https://openalex.org/W2114636633","https://openalex.org/W2117000100","https://openalex.org/W2119401655","https://openalex.org/W2130788193","https://openalex.org/W2138002307","https://openalex.org/W2149454052","https://openalex.org/W2153399947","https://openalex.org/W2153504150","https://openalex.org/W2160960847","https://openalex.org/W2172102550","https://openalex.org/W2528234406","https://openalex.org/W2539283064","https://openalex.org/W2753416958","https://openalex.org/W2898889412","https://openalex.org/W3040586665","https://openalex.org/W3105621768","https://openalex.org/W4214508989","https://openalex.org/W4246447829","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2375684291","https://openalex.org/W2354676191","https://openalex.org/W2909957174","https://openalex.org/W3188646203","https://openalex.org/W2105527480","https://openalex.org/W4320035781","https://openalex.org/W136674370","https://openalex.org/W2052387497","https://openalex.org/W2035564297","https://openalex.org/W4380087116"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":42},{"year":2024,"cited_by_count":33},{"year":2023,"cited_by_count":35},{"year":2022,"cited_by_count":29},{"year":2021,"cited_by_count":28},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
