{"id":"https://openalex.org/W4387358302","doi":"https://doi.org/10.1142/s0217595923500288","title":"An Accelerated Double-Proximal Gradient Algorithm for DC Programming","display_name":"An Accelerated Double-Proximal Gradient Algorithm for DC Programming","publication_year":2023,"publication_date":"2023-10-06","ids":{"openalex":"https://openalex.org/W4387358302","doi":"https://doi.org/10.1142/s0217595923500288"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595923500288","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0217595923500288","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","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/A5087275176","display_name":"Gaoxi Li","orcid":"https://orcid.org/0000-0003-1639-2603"},"institutions":[{"id":"https://openalex.org/I145581781","display_name":"Chongqing Technology and Business University","ror":"https://ror.org/05hqf1284","country_code":"CN","type":"education","lineage":["https://openalex.org/I145581781"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gaoxi Li","raw_affiliation_strings":["School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-1639-2603","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P. R. China","institution_ids":["https://openalex.org/I145581781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101666124","display_name":"Ying Yi","orcid":"https://orcid.org/0000-0002-4848-7175"},"institutions":[{"id":"https://openalex.org/I145581781","display_name":"Chongqing Technology and Business University","ror":"https://ror.org/05hqf1284","country_code":"CN","type":"education","lineage":["https://openalex.org/I145581781"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ying Yi","raw_affiliation_strings":["School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-4848-7175","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P. R. China","institution_ids":["https://openalex.org/I145581781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050021691","display_name":"Yingquan Huang","orcid":"https://orcid.org/0009-0000-3788-3351"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingquan Huang","raw_affiliation_strings":["Chongqing Key Laboratory of Social Economy and Applied Statistics, Chongqing 400067, P. R. China"],"raw_orcid":"https://orcid.org/0009-0000-3788-3351","affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Social Economy and Applied Statistics, Chongqing 400067, P. R. China","institution_ids":["https://openalex.org/I158842170"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101666124"],"corresponding_institution_ids":["https://openalex.org/I145581781"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16956522,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"03","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9210000038146973,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9210000038146973,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9182000160217285,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.7665513753890991},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6397015452384949},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.6024631857872009},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5996373891830444},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5955672264099121},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5936347842216492},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5493181347846985},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.510373055934906},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.46397385001182556},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.460299551486969},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.45232778787612915},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.43667739629745483},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.399685800075531},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3425397276878357},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.342506468296051},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10133245587348938},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09216758608818054},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.08673146367073059}],"concepts":[{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.7665513753890991},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6397015452384949},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.6024631857872009},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5996373891830444},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5955672264099121},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5936347842216492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5493181347846985},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.510373055934906},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.46397385001182556},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.460299551486969},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.45232778787612915},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.43667739629745483},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.399685800075531},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3425397276878357},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.342506468296051},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10133245587348938},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09216758608818054},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.08673146367073059},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0217595923500288","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0217595923500288","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:apjorx:v:41:y:2024:i:03:n:s0217595923500288","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0217595923500288","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":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5171980128","display_name":null,"funder_award_id":"cstc2021jcyj-msxmX0499","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"},{"id":"https://openalex.org/G7020580492","display_name":null,"funder_award_id":"CSTB2022NSCQ-MSX0606","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"}],"funders":[{"id":"https://openalex.org/F4320323172","display_name":"Natural Science Foundation of Chongqing","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1586417863","https://openalex.org/W1988720110","https://openalex.org/W1989313814","https://openalex.org/W2022377207","https://openalex.org/W2049920486","https://openalex.org/W2089106993","https://openalex.org/W2092663520","https://openalex.org/W2100556411","https://openalex.org/W2103215959","https://openalex.org/W2127447444","https://openalex.org/W2528581397","https://openalex.org/W2576873436","https://openalex.org/W2758191719","https://openalex.org/W2963529998","https://openalex.org/W3184563726","https://openalex.org/W3198950287","https://openalex.org/W4205795514","https://openalex.org/W4236574868","https://openalex.org/W4249513058","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W2916278477","https://openalex.org/W3153752017","https://openalex.org/W2804400349","https://openalex.org/W2400034325","https://openalex.org/W2499557797","https://openalex.org/W4387635768","https://openalex.org/W2985014567","https://openalex.org/W4299515259","https://openalex.org/W4292651679","https://openalex.org/W2032676126"],"abstract_inverted_index":{"The":[0],"double-proximal":[1,31],"gradient":[2,32],"algorithm":[3,13,33,61],"(DPGA)":[4],"is":[5,50,81,105,113],"a":[6],"new":[7],"variant":[8],"of":[9,29,43,55,101,103],"the":[10,30,39,56,63,67,89,99,110],"classical":[11],"difference-of-convex":[12,17],"(DCA)":[14],"for":[15,34],"solving":[16],"(DC)":[18],"optimization":[19],"problems.":[20],"In":[21],"this":[22],"paper,":[23],"we":[24],"propose":[25],"an":[26,93],"accelerated":[27],"version":[28],"DC":[35],"programming,":[36],"in":[37],"which":[38],"objective":[40,64],"function":[41,65],"consists":[42],"three":[44],"convex":[45],"modules":[46],"(only":[47],"one":[48],"module":[49],"smooth).":[51],"We":[52],"establish":[53],"convergence":[54,79],"sequence":[57],"generated":[58],"by":[59,107,115],"our":[60],"if":[62],"satisfies":[66],"Kurdyka\u2013[Formula:":[68],"see":[69,72],"text]ojasiewicz":[70],"(K[Formula:":[71],"text])":[73],"property":[74],"and":[75,109],"show":[76,97],"that":[77,98],"its":[78],"rate":[80],"not":[82],"weaker":[83],"than":[84],"DPGA.":[85],"Compared":[86],"with":[87],"DPGA,":[88],"numerical":[90],"experiments":[91],"on":[92,117],"image":[94],"processing":[95],"model":[96],"number":[100],"iterations":[102],"ADPGA":[104],"reduced":[106,114],"43.57%":[108],"running":[111],"time":[112],"43.47%":[116],"average.":[118]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}