{"id":"https://openalex.org/W4412694068","doi":"https://doi.org/10.3390/a18080469","title":"Delayed Star Subgradient Methods for Constrained Nondifferentiable Quasi-Convex Optimization","display_name":"Delayed Star Subgradient Methods for Constrained Nondifferentiable Quasi-Convex Optimization","publication_year":2025,"publication_date":"2025-07-26","ids":{"openalex":"https://openalex.org/W4412694068","doi":"https://doi.org/10.3390/a18080469"},"language":"en","primary_location":{"id":"doi:10.3390/a18080469","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a18080469","pdf_url":null,"source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/a18080469","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5119092585","display_name":"Ontima Pankoon","orcid":null},"institutions":[{"id":"https://openalex.org/I179193067","display_name":"Khon Kaen University","ror":"https://ror.org/03cq4gr50","country_code":"TH","type":"education","lineage":["https://openalex.org/I179193067"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Ontima Pankoon","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand","institution_ids":["https://openalex.org/I179193067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042690366","display_name":"Nimit Nimana","orcid":"https://orcid.org/0000-0003-1640-8919"},"institutions":[{"id":"https://openalex.org/I179193067","display_name":"Khon Kaen University","ror":"https://ror.org/03cq4gr50","country_code":"TH","type":"education","lineage":["https://openalex.org/I179193067"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Nimit Nimana","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand","institution_ids":["https://openalex.org/I179193067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042690366"],"corresponding_institution_ids":["https://openalex.org/I179193067"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22460781,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"8","first_page":"469","last_page":"469"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.994700014591217,"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/subgradient-method","display_name":"Subgradient method","score":0.9656127095222473},{"id":"https://openalex.org/keywords/star","display_name":"Star (game theory)","score":0.6565139889717102},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.6064484119415283},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5965359807014465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5429631471633911},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4942586421966553},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43456581234931946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3468558192253113},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34332412481307983},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1489134132862091}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9656127095222473},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.6565139889717102},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.6064484119415283},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5965359807014465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5429631471633911},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4942586421966553},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43456581234931946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3468558192253113},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34332412481307983},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1489134132862091},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a18080469","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a18080469","pdf_url":null,"source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cb93cf59b58247c9979543bbe6d5160c","is_oa":true,"landing_page_url":"https://doaj.org/article/cb93cf59b58247c9979543bbe6d5160c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 18, Iss 8, p 469 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a18080469","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a18080469","pdf_url":null,"source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W613392520","https://openalex.org/W616361022","https://openalex.org/W1506295250","https://openalex.org/W1989626574","https://openalex.org/W2015960758","https://openalex.org/W2017938640","https://openalex.org/W2048395921","https://openalex.org/W2055326668","https://openalex.org/W2089359133","https://openalex.org/W2091604953","https://openalex.org/W2102501784","https://openalex.org/W2169895536","https://openalex.org/W2181909002","https://openalex.org/W2276974598","https://openalex.org/W2767163626","https://openalex.org/W2811490955","https://openalex.org/W2953690514","https://openalex.org/W2976503777","https://openalex.org/W3003514331","https://openalex.org/W3104398353","https://openalex.org/W3167336199","https://openalex.org/W4253679144","https://openalex.org/W4366189978","https://openalex.org/W4385999971","https://openalex.org/W4402284313","https://openalex.org/W6686219370","https://openalex.org/W6773831783","https://openalex.org/W6981657223"],"related_works":["https://openalex.org/W4238880966","https://openalex.org/W2140018151","https://openalex.org/W3084689723","https://openalex.org/W3161275408","https://openalex.org/W2811183536","https://openalex.org/W3088056528","https://openalex.org/W2756132392","https://openalex.org/W4285101096","https://openalex.org/W4382725876","https://openalex.org/W2084892497"],"abstract_inverted_index":{"In":[0,19],"this":[1],"work,":[2],"we":[3,29,82],"consider":[4],"the":[5,26,39,49,55,61,71,78,88,95,98],"problem":[6,92],"of":[7,25,38,74,97],"minimizing":[8],"a":[9,13,23],"quasi-convex":[10],"function":[11],"over":[12],"nonempty":[14],"closed":[15],"convex":[16],"constrained":[17],"set.":[18],"order":[20],"to":[21,47,93],"approximate":[22],"solution":[24],"considered":[27],"problem,":[28],"propose":[30],"delayed":[31],"star":[32,51,63],"subgradient":[33,64],"methods.":[34,80],"The":[35],"main":[36],"feature":[37],"proposed":[40,79,99],"methods":[41],"is":[42],"that":[43],"it":[44],"allows":[45],"us":[46],"use":[48],"stale":[50],"subgradients":[52],"when":[53],"updating":[54],"next":[56],"iteration":[57],"rather":[58],"than":[59],"computing":[60],"new":[62],"in":[65],"every":[66],"iteration.":[67],"We":[68],"subsequently":[69],"investigate":[70],"convergence":[72],"results":[73],"sequences":[75],"generated":[76],"by":[77],"Finally,":[81],"present":[83],"some":[84],"numerical":[85],"experiments":[86],"on":[87],"Cobb\u2013Douglas":[89],"production":[90],"efficiency":[91],"illustrate":[94],"effectiveness":[96],"method.":[100]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}