{"id":"https://openalex.org/W4414134370","doi":"https://doi.org/10.3390/sym17091515","title":"A Novel Meta-ELM with Orthogonal Constraints for Regression Problems","display_name":"A Novel Meta-ELM with Orthogonal Constraints for Regression Problems","publication_year":2025,"publication_date":"2025-09-11","ids":{"openalex":"https://openalex.org/W4414134370","doi":"https://doi.org/10.3390/sym17091515"},"language":"en","primary_location":{"id":"doi:10.3390/sym17091515","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17091515","pdf_url":"https://www.mdpi.com/2073-8994/17/9/1515/pdf?version=1757572981","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/9/1515/pdf?version=1757572981","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075539928","display_name":"Licheng Cui","orcid":"https://orcid.org/0000-0002-4929-9715"},"institutions":[{"id":"https://openalex.org/I118612203","display_name":"Hunan Police Academy","ror":"https://ror.org/02gh10772","country_code":"CN","type":"education","lineage":["https://openalex.org/I118612203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Licheng Cui","raw_affiliation_strings":["School of Cybersecurity, Liaoning Police Academy, Dalian 116036, China"],"raw_orcid":"https://orcid.org/0000-0002-4929-9715","affiliations":[{"raw_affiliation_string":"School of Cybersecurity, Liaoning Police Academy, Dalian 116036, China","institution_ids":["https://openalex.org/I118612203"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025215151","display_name":"Huawei Zhai","orcid":"https://orcid.org/0000-0002-7191-2280"},"institutions":[{"id":"https://openalex.org/I43313876","display_name":"Dalian Maritime University","ror":"https://ror.org/002b7nr53","country_code":"CN","type":"education","lineage":["https://openalex.org/I43313876"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huawei Zhai","raw_affiliation_strings":["School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China"],"raw_orcid":"https://orcid.org/0000-0002-7191-2280","affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China","institution_ids":["https://openalex.org/I43313876"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025215151"],"corresponding_institution_ids":["https://openalex.org/I43313876"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11582745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"9","first_page":"1515","last_page":"1515"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":1.0,"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/T12676","display_name":"Machine Learning and ELM","score":1.0,"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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.9775000214576721,"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/T10057","display_name":"Face and Expression Recognition","score":0.9474999904632568,"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/constraint","display_name":"Constraint (computer-aided design)","score":0.7864000201225281},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.6029999852180481},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5727999806404114},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5062000155448914},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.46810001134872437},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.39590001106262207},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.37950000166893005},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.37310001254081726}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.7864000201225281},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.6029999852180481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5741000175476074},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5727999806404114},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5680999755859375},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5062000155448914},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.46810001134872437},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45719999074935913},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42399999499320984},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.39590001106262207},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.37950000166893005},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.37310001254081726},{"id":"https://openalex.org/C42632107","wikidata":"https://www.wikidata.org/wiki/Q2031860","display_name":"Orthogonal array","level":3,"score":0.37139999866485596},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3659999966621399},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.35899999737739563},{"id":"https://openalex.org/C2989514635","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization problem","level":3,"score":0.3183000087738037},{"id":"https://openalex.org/C83665646","wikidata":"https://www.wikidata.org/wiki/Q42139305","display_name":"Feature vector","level":2,"score":0.31349998712539673},{"id":"https://openalex.org/C187064257","wikidata":"https://www.wikidata.org/wiki/Q3306808","display_name":"Orthogonal basis","level":2,"score":0.30230000615119934},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.29429998993873596},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.2879999876022339},{"id":"https://openalex.org/C44292817","wikidata":"https://www.wikidata.org/wiki/Q333871","display_name":"Orthogonal matrix","level":3,"score":0.2741999924182892},{"id":"https://openalex.org/C54940322","wikidata":"https://www.wikidata.org/wiki/Q3997740","display_name":"Orthogonal transformation","level":2,"score":0.258899986743927},{"id":"https://openalex.org/C34559072","wikidata":"https://www.wikidata.org/wiki/Q2334061","display_name":"Design of experiments","level":2,"score":0.25529998540878296}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17091515","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17091515","pdf_url":"https://www.mdpi.com/2073-8994/17/9/1515/pdf?version=1757572981","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17091515","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17091515","pdf_url":"https://www.mdpi.com/2073-8994/17/9/1515/pdf?version=1757572981","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G209212806","display_name":null,"funder_award_id":"2022-MS-420","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"},{"id":"https://openalex.org/F4320326699","display_name":"Ministry of Public Security of the People's Republic of China","ror":"https://ror.org/00bt9we26"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414134370.pdf","grobid_xml":"https://content.openalex.org/works/W4414134370.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1965895201","https://openalex.org/W1972636512","https://openalex.org/W1973433968","https://openalex.org/W1974365260","https://openalex.org/W2000867254","https://openalex.org/W2026131661","https://openalex.org/W2035026907","https://openalex.org/W2049917046","https://openalex.org/W2057536743","https://openalex.org/W2594924698","https://openalex.org/W2804652951","https://openalex.org/W2964253828","https://openalex.org/W2980055313","https://openalex.org/W3017805480","https://openalex.org/W3037607721","https://openalex.org/W3215019035","https://openalex.org/W4310064233","https://openalex.org/W4316465528","https://openalex.org/W4361287283","https://openalex.org/W4396495994","https://openalex.org/W4396571996","https://openalex.org/W4398142120","https://openalex.org/W4399772560","https://openalex.org/W4400945493","https://openalex.org/W4400946300","https://openalex.org/W4401633917","https://openalex.org/W4405204679","https://openalex.org/W4405232198","https://openalex.org/W4406014386","https://openalex.org/W4407164999","https://openalex.org/W4407682886","https://openalex.org/W4407909532","https://openalex.org/W4408571826","https://openalex.org/W4413159551"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2079213131"],"abstract_inverted_index":{"ELM":[0],"is":[1,17,62,92],"an":[2],"innovative":[3],"learning":[4],"algorithm":[5],"that":[6,89],"minimizes":[7],"output":[8,14,83],"error":[9],"by":[10,31],"only":[11],"finding":[12],"optimal":[13],"weights.":[15],"Meta-learning":[16],"composed":[18],"of":[19,52,55],"base":[20,37],"ELMs":[21,38],"and":[22,39,95],"exhibits":[23],"good":[24],"generalization.":[25],"To":[26],"improve":[27],"its":[28,58],"performance":[29],"further":[30],"introducing":[32],"orthogonal":[33,48,59],"constraints":[34,49],"into":[35],"the":[36,53,56,63,90],"\u201ctop\u201d":[40],"ELM,":[41],"we":[42],"propose":[43],"a":[44,69],"novel":[45],"Meta-ELM":[46],"with":[47],"(Meta-QEC-ELM).":[50],"Because":[51],"particularity":[54],"Meta-ELM,":[57],"constraint":[60,66],"problem":[61],"quadratic":[64],"equality":[65],"problem\u2014that":[67],"is,":[68],"one-column":[70],"Procrustes":[71],"problem\u2014and":[72],"it":[73],"can":[74],"preserve":[75],"much":[76],"more":[77],"information":[78],"from":[79],"feature":[80],"space":[81],"to":[82],"subspace.":[84],"The":[85],"experimental":[86],"results":[87],"show":[88],"Meta-QEC-ELM":[91],"both":[93],"effective":[94],"feasible.":[96]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}