{"id":"https://openalex.org/W2078793208","doi":"https://doi.org/10.1109/icnc.2012.6234610","title":"Global minimization simplicial algorithm for concave minorant optimization problem","display_name":"Global minimization simplicial algorithm for concave minorant optimization problem","publication_year":2012,"publication_date":"2012-05-01","ids":{"openalex":"https://openalex.org/W2078793208","doi":"https://doi.org/10.1109/icnc.2012.6234610","mag":"2078793208"},"language":"en","primary_location":{"id":"doi:10.1109/icnc.2012.6234610","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icnc.2012.6234610","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 8th International Conference on Natural Computation","raw_type":"proceedings-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/A5063460872","display_name":"Tingsong Du","orcid":"https://orcid.org/0000-0002-6072-1788"},"institutions":[{"id":"https://openalex.org/I161350542","display_name":"China Three Gorges University","ror":"https://ror.org/0419nfc77","country_code":"CN","type":"education","lineage":["https://openalex.org/I161350542"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tingsong Du","raw_affiliation_strings":["Institute of Nonlinear and Complex Systems, Science College, China Three Gorges University, Yichang, China","Institute of Nonlinear and Complex Systems, Science College, China Three Gorges University, Yichang 443002, China"],"affiliations":[{"raw_affiliation_string":"Institute of Nonlinear and Complex Systems, Science College, China Three Gorges University, Yichang, China","institution_ids":["https://openalex.org/I161350542"]},{"raw_affiliation_string":"Institute of Nonlinear and Complex Systems, Science College, China Three Gorges University, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073062193","display_name":"Wenlong Fu","orcid":"https://orcid.org/0000-0003-4084-1085"},"institutions":[{"id":"https://openalex.org/I161350542","display_name":"China Three Gorges University","ror":"https://ror.org/0419nfc77","country_code":"CN","type":"education","lineage":["https://openalex.org/I161350542"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenlong Fu","raw_affiliation_strings":["Institute of Nonlinear and Complex Systems, Science College, China Three Gorges University, Yichang, China","Institute of Nonlinear and Complex Systems, Science College, China Three Gorges University, Yichang 443002, China"],"affiliations":[{"raw_affiliation_string":"Institute of Nonlinear and Complex Systems, Science College, China Three Gorges University, Yichang, China","institution_ids":["https://openalex.org/I161350542"]},{"raw_affiliation_string":"Institute of Nonlinear and Complex Systems, Science College, China Three Gorges University, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063460872"],"corresponding_institution_ids":["https://openalex.org/I161350542"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15391459,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":null,"first_page":"1177","last_page":"1180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9975000023841858,"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":0.9975000023841858,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9754999876022339,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9624000191688538,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.8056572675704956},{"id":"https://openalex.org/keywords/concave-function","display_name":"Concave function","score":0.696565568447113},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6520198583602905},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6158974170684814},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.606685996055603},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5723540186882019},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5360909104347229},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.532569944858551},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5109023451805115},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4833104610443115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38991740345954895},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23490571975708008},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.177293062210083},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10812056064605713},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07256588339805603}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8056572675704956},{"id":"https://openalex.org/C66690126","wikidata":"https://www.wikidata.org/wiki/Q2914302","display_name":"Concave function","level":3,"score":0.696565568447113},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6520198583602905},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6158974170684814},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.606685996055603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5723540186882019},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5360909104347229},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.532569944858551},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5109023451805115},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4833104610443115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38991740345954895},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23490571975708008},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.177293062210083},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10812056064605713},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07256588339805603},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icnc.2012.6234610","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icnc.2012.6234610","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 8th International Conference on Natural Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4099999964237213,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W792864451","https://openalex.org/W1499399028","https://openalex.org/W2077082768","https://openalex.org/W2092611373","https://openalex.org/W2124412708","https://openalex.org/W2159165925","https://openalex.org/W2367160163","https://openalex.org/W2388663018","https://openalex.org/W3144955698","https://openalex.org/W4212864101","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W4280529077","https://openalex.org/W1493684871","https://openalex.org/W2886567582","https://openalex.org/W4390962314","https://openalex.org/W3185235544","https://openalex.org/W4289703404","https://openalex.org/W2999175164","https://openalex.org/W2014832088","https://openalex.org/W2576451984","https://openalex.org/W127284643"],"abstract_inverted_index":{"In":[0],"present":[1],"paper,":[2],"we":[3],"investigate":[4],"a":[5,15,20,24,31,37,51,55],"class":[6],"of":[7,49],"concave":[8,34],"minorant":[9],"optimization":[10],"problems.":[11],"We":[12],"show":[13],"that":[14],"method":[16],"for":[17,45],"globally":[18],"minimizing":[19,50],"Lipschitz":[21],"function":[22,32,53],"over":[23,36,54],"polytope":[25],"can":[26],"be":[27,43],"generalized":[28],"to":[29],"minimize":[30],"with":[33],"minorants":[35],"polytope.":[38,56],"Moreover,":[39],"another":[40],"approach":[41],"may":[42],"used":[44],"the":[46],"important":[47],"problem":[48],"D.C.":[52]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}