{"id":"https://openalex.org/W4409893754","doi":"https://doi.org/10.1007/s12190-024-02353-4","title":"Convergence analysis of gradient descent based on smoothing L0 regularization and momentum terms","display_name":"Convergence analysis of gradient descent based on smoothing L0 regularization and momentum terms","publication_year":2025,"publication_date":"2025-04-28","ids":{"openalex":"https://openalex.org/W4409893754","doi":"https://doi.org/10.1007/s12190-024-02353-4"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02353-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02353-4","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","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/A5075390658","display_name":"Khidir Shaib Mohamed","orcid":"https://orcid.org/0000-0001-8309-6121"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Khidir Shaib Mohamed","raw_affiliation_strings":["Department of Mathematics, College of Sciences, Qassim University, Buraydah, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-8309-6121","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Qassim University, Buraydah, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5117363733","display_name":"Suhail Abdullah Alsaqer","orcid":null},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]},{"id":"https://openalex.org/I4210092650","display_name":"Buraydah Colleges","ror":"https://ror.org/00j0krs40","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210092650"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Suhail Abdullah Alsaqer","raw_affiliation_strings":["Department of Computer Science, College of Computers, Qassim University, Buraydah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, College of Computers, Qassim University, Buraydah, Saudi Arabia","institution_ids":["https://openalex.org/I4210092650","https://openalex.org/I156216236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003887038","display_name":"Tahir Bashir","orcid":"https://orcid.org/0000-0001-7976-1184"},"institutions":[{"id":"https://openalex.org/I35777872","display_name":"North Carolina Agricultural and Technical State University","ror":"https://ror.org/02aze4h65","country_code":"US","type":"education","lineage":["https://openalex.org/I35777872"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tahir Bashir","raw_affiliation_strings":["Department of Mathematics & Statistic, North Carolina A&T State University, 1601 E. Market St, Greensboro, NC, 27411, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistic, North Carolina A&T State University, 1601 E. Market St, Greensboro, NC, 27411, USA","institution_ids":["https://openalex.org/I35777872"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5116826734","display_name":"Ibrhim. M. A. Suliman","orcid":null},"institutions":[{"id":"https://openalex.org/I4210113743","display_name":"Dalanj University","ror":"https://ror.org/02ayk5126","country_code":"SD","type":"education","lineage":["https://openalex.org/I4210113743"]}],"countries":["SD"],"is_corresponding":false,"raw_author_name":"Ibrhim. M. A. Suliman","raw_affiliation_strings":["Department of Mathematics, College of Education, Dalanj University, Dalanj, Sudan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Education, Dalanj University, Dalanj, Sudan","institution_ids":["https://openalex.org/I4210113743"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5075390658"],"corresponding_institution_ids":["https://openalex.org/I156216236"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.7312,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.86072739,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"71","issue":"S1","first_page":"563","last_page":"589"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14413","display_name":"Advanced Technologies in Various Fields","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T14413","display_name":"Advanced Technologies in Various Fields","score":0.9983999729156494,"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/T12676","display_name":"Machine Learning and ELM","score":0.9782999753952026,"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9732000231742859,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/mathematics","display_name":"Mathematics","score":0.8198084235191345},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6654621362686157},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6496235728263855},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5755215883255005},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.572553813457489},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5637359023094177},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4295920133590698},{"id":"https://openalex.org/keywords/momentum","display_name":"Momentum (technical analysis)","score":0.4179030656814575},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.330907940864563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23633167147636414},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12601566314697266},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11033245921134949},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10241955518722534}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8198084235191345},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6654621362686157},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6496235728263855},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5755215883255005},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.572553813457489},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5637359023094177},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4295920133590698},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.4179030656814575},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.330907940864563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23633167147636414},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12601566314697266},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11033245921134949},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10241955518722534},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-02353-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02353-4","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4399999976158142,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W590635534","https://openalex.org/W1980287119","https://openalex.org/W1994642189","https://openalex.org/W2004915807","https://openalex.org/W2025594527","https://openalex.org/W2033041054","https://openalex.org/W2041891835","https://openalex.org/W2051342410","https://openalex.org/W2088350412","https://openalex.org/W2095474236","https://openalex.org/W2097400615","https://openalex.org/W2100415338","https://openalex.org/W2117629136","https://openalex.org/W2149940454","https://openalex.org/W2164316155","https://openalex.org/W2467755164","https://openalex.org/W2473976235","https://openalex.org/W2672147518","https://openalex.org/W2729554511","https://openalex.org/W2790029018","https://openalex.org/W2965857035","https://openalex.org/W3088144810","https://openalex.org/W3110884700","https://openalex.org/W3122866247","https://openalex.org/W3131910208","https://openalex.org/W3132264265","https://openalex.org/W3192094705","https://openalex.org/W4221111714","https://openalex.org/W4281561496","https://openalex.org/W4283519144","https://openalex.org/W4297878125","https://openalex.org/W4307727076","https://openalex.org/W4313245158","https://openalex.org/W4321368600","https://openalex.org/W4387354538","https://openalex.org/W4390816178","https://openalex.org/W4391453511","https://openalex.org/W4393955143","https://openalex.org/W4399297735"],"related_works":["https://openalex.org/W1978572805","https://openalex.org/W2383807498","https://openalex.org/W1997992934","https://openalex.org/W4213275102","https://openalex.org/W2151138761","https://openalex.org/W2996388602","https://openalex.org/W3133545257","https://openalex.org/W3090423162","https://openalex.org/W4394829928","https://openalex.org/W2162941631"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
