{"id":"https://openalex.org/W4409150259","doi":"https://doi.org/10.1007/s40314-025-03180-4","title":"A gradient-based learning method with smoothing group $$L_0$$ regularization for interval perceptron and interval weights","display_name":"A gradient-based learning method with smoothing group $$L_0$$ regularization for interval perceptron and interval weights","publication_year":2025,"publication_date":"2025-04-03","ids":{"openalex":"https://openalex.org/W4409150259","doi":"https://doi.org/10.1007/s40314-025-03180-4"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03180-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03180-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5092060543","display_name":"Yan Liu","orcid":"https://orcid.org/0000-0003-3998-4652"},"institutions":[{"id":"https://openalex.org/I88372448","display_name":"Dalian Polytechnic University","ror":"https://ror.org/00c7x4a95","country_code":"CN","type":"education","lineage":["https://openalex.org/I88372448"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yan Liu","raw_affiliation_strings":["Department of Basic Courses Teaching, Dalian Polytechnic University, No. 1st Qinggongyuan, Dalian, 116034, China","School of Information Science and Engineering, Dalian Polytechnic University, No. 1st Qinggongyuan, Dalian, 116034, China"],"affiliations":[{"raw_affiliation_string":"Department of Basic Courses Teaching, Dalian Polytechnic University, No. 1st Qinggongyuan, Dalian, 116034, China","institution_ids":["https://openalex.org/I88372448"]},{"raw_affiliation_string":"School of Information Science and Engineering, Dalian Polytechnic University, No. 1st Qinggongyuan, Dalian, 116034, China","institution_ids":["https://openalex.org/I88372448"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074829279","display_name":"J. Jean Cui","orcid":"https://orcid.org/0009-0006-3098-7952"},"institutions":[{"id":"https://openalex.org/I88372448","display_name":"Dalian Polytechnic University","ror":"https://ror.org/00c7x4a95","country_code":"CN","type":"education","lineage":["https://openalex.org/I88372448"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinru Cui","raw_affiliation_strings":["School of Information Science and Engineering, Dalian Polytechnic University, No. 1st Qinggongyuan, Dalian, 116034, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Dalian Polytechnic University, No. 1st Qinggongyuan, Dalian, 116034, China","institution_ids":["https://openalex.org/I88372448"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100431222","display_name":"Rui Wang","orcid":"https://orcid.org/0000-0002-2974-0972"},"institutions":[{"id":"https://openalex.org/I143413998","display_name":"Qingdao University of Science and Technology","ror":"https://ror.org/041j8js14","country_code":"CN","type":"education","lineage":["https://openalex.org/I143413998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Wang","raw_affiliation_strings":["School of Information Engineering, Qingdao Institute of Technology, No. 236 Fuzhou South Road, Qingdao, 266300, China"],"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Qingdao Institute of Technology, No. 236 Fuzhou South Road, Qingdao, 266300, China","institution_ids":["https://openalex.org/I143413998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056140546","display_name":"Yuanquan Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I88372448","display_name":"Dalian Polytechnic University","ror":"https://ror.org/00c7x4a95","country_code":"CN","type":"education","lineage":["https://openalex.org/I88372448"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanquan Liu","raw_affiliation_strings":["Department of Basic Courses Teaching, Dalian Polytechnic University, No. 1st Qinggongyuan, Dalian, 116034, China","School of Information Science and Engineering, Dalian Polytechnic University, No. 1st Qinggongyuan, Dalian, 116034, China"],"affiliations":[{"raw_affiliation_string":"Department of Basic Courses Teaching, Dalian Polytechnic University, No. 1st Qinggongyuan, Dalian, 116034, China","institution_ids":["https://openalex.org/I88372448"]},{"raw_affiliation_string":"School of Information Science and Engineering, Dalian Polytechnic University, No. 1st Qinggongyuan, Dalian, 116034, China","institution_ids":["https://openalex.org/I88372448"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100742536","display_name":"Peijun Li","orcid":"https://orcid.org/0000-0002-4989-9892"},"institutions":[{"id":"https://openalex.org/I88372448","display_name":"Dalian Polytechnic University","ror":"https://ror.org/00c7x4a95","country_code":"CN","type":"education","lineage":["https://openalex.org/I88372448"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Li","raw_affiliation_strings":["School of Information Science and Engineering, Dalian Polytechnic University, No. 1st Qinggongyuan, Dalian, 116034, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Dalian Polytechnic University, No. 1st Qinggongyuan, Dalian, 116034, China","institution_ids":["https://openalex.org/I88372448"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5092060543"],"corresponding_institution_ids":["https://openalex.org/I88372448"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02974807,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9968000054359436,"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/T10320","display_name":"Neural Networks and Applications","score":0.9968000054359436,"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/T13693","display_name":"Smart Systems and Machine Learning","score":0.9850999712944031,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9829999804496765,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/interval","display_name":"Interval (graph theory)","score":0.7166144251823425},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6733301281929016},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6393242478370667},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4803115725517273},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4660654366016388},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.45197296142578125},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4028581976890564},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38968488574028015},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3839268386363983},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2883121073246002},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19774597883224487},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14419224858283997}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7166144251823425},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6733301281929016},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6393242478370667},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4803115725517273},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4660654366016388},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.45197296142578125},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4028581976890564},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38968488574028015},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3839268386363983},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2883121073246002},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19774597883224487},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14419224858283997},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-025-03180-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03180-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G511883864","display_name":null,"funder_award_id":"No. 61403056","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1915967525","https://openalex.org/W1987151949","https://openalex.org/W2050094890","https://openalex.org/W2053795860","https://openalex.org/W2099791377","https://openalex.org/W2100638487","https://openalex.org/W2106552479","https://openalex.org/W2111719156","https://openalex.org/W2122297221","https://openalex.org/W2494598326","https://openalex.org/W2558662207","https://openalex.org/W2777945434","https://openalex.org/W2908110836","https://openalex.org/W2914979600","https://openalex.org/W2962919249","https://openalex.org/W2963319203","https://openalex.org/W2970738028","https://openalex.org/W2979040987","https://openalex.org/W3024182761","https://openalex.org/W3045882059","https://openalex.org/W3046301180","https://openalex.org/W3174934194","https://openalex.org/W3177439627","https://openalex.org/W3215287538","https://openalex.org/W4205097024","https://openalex.org/W4221095931","https://openalex.org/W4224049752","https://openalex.org/W4225285090","https://openalex.org/W4283314725","https://openalex.org/W4283519144","https://openalex.org/W4285386174","https://openalex.org/W4308359019","https://openalex.org/W4318956105","https://openalex.org/W4391929907"],"related_works":["https://openalex.org/W1978572805","https://openalex.org/W2383807498","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W4238188170","https://openalex.org/W2125114371","https://openalex.org/W2019977573","https://openalex.org/W2149980199","https://openalex.org/W4213275102","https://openalex.org/W2151138761"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
