{"id":"https://openalex.org/W2898724236","doi":"https://doi.org/10.1109/tnnls.2018.2873649","title":"Eigenfunction-Based Multitask Learning in a Reproducing Kernel Hilbert Space","display_name":"Eigenfunction-Based Multitask Learning in a Reproducing Kernel Hilbert Space","publication_year":2018,"publication_date":"2018-10-29","ids":{"openalex":"https://openalex.org/W2898724236","doi":"https://doi.org/10.1109/tnnls.2018.2873649","mag":"2898724236","pmid":"https://pubmed.ncbi.nlm.nih.gov/30371390"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2018.2873649","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2018.2873649","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5071510961","display_name":"Xinmei Tian","orcid":"https://orcid.org/0000-0002-5952-8753"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinmei Tian","raw_affiliation_strings":["CAS Key Laboratory of Technology in Geo-Spatial Information Processing and Application Systems, University of Science and Technology of China, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0002-5952-8753","affiliations":[{"raw_affiliation_string":"CAS Key Laboratory of Technology in Geo-Spatial Information Processing and Application Systems, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100343655","display_name":"Ya Li","orcid":"https://orcid.org/0000-0002-1072-1050"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ya Li","raw_affiliation_strings":["CAS Key Laboratory of Technology in Geo-Spatial Information Processing and Application Systems, University of Science and Technology of China, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CAS Key Laboratory of Technology in Geo-Spatial Information Processing and Application Systems, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065250332","display_name":"Tongliang Liu","orcid":"https://orcid.org/0000-0002-9640-6472"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tongliang Liu","raw_affiliation_strings":["UBTECH Sydney Artificial Intelligence Centre, School of Information Technologies, Faculty of Engineering and Information Technologies, The University of Sydney, Darlington, NSW, Australia"],"raw_orcid":"https://orcid.org/0000-0002-9640-6472","affiliations":[{"raw_affiliation_string":"UBTECH Sydney Artificial Intelligence Centre, School of Information Technologies, Faculty of Engineering and Information Technologies, The University of Sydney, Darlington, NSW, Australia","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015574447","display_name":"Xinchao Wang","orcid":"https://orcid.org/0000-0003-0057-1404"},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xinchao Wang","raw_affiliation_strings":["Department of Computer Science, Stevens Institute of Technology, Hoboken, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stevens Institute of Technology, Hoboken, NJ, USA","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074103823","display_name":"Dacheng Tao","orcid":"https://orcid.org/0000-0001-7225-5449"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Dacheng Tao","raw_affiliation_strings":["UBTECH Sydney Artificial Intelligence Centre, School of Information Technologies, Faculty of Engineering and Information Technologies, The University of Sydney, Darlington, NSW, Australia"],"raw_orcid":"https://orcid.org/0000-0001-7225-5449","affiliations":[{"raw_affiliation_string":"UBTECH Sydney Artificial Intelligence Centre, School of Information Technologies, Faculty of Engineering and Information Technologies, The University of Sydney, Darlington, NSW, Australia","institution_ids":["https://openalex.org/I129604602"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2932,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.91101221,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"30","issue":"6","first_page":"1818","last_page":"1830"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.9998000264167786,"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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.9998000264167786,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.996399998664856,"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"}},{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.9962000250816345,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.8705058097839355},{"id":"https://openalex.org/keywords/multi-task-learning","display_name":"Multi-task learning","score":0.7433010339736938},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.7062122225761414},{"id":"https://openalex.org/keywords/representer-theorem","display_name":"Representer theorem","score":0.668237566947937},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5838457942008972},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5551587343215942},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5433682799339294},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5189763903617859},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5029591917991638},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.4423706531524658},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.43061190843582153},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.42794856429100037},{"id":"https://openalex.org/keywords/kernel-embedding-of-distributions","display_name":"Kernel embedding of distributions","score":0.40520644187927246},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3994878828525543},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.3786906599998474},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3557506203651428},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3351404666900635},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.30616065859794617},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11987742781639099},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09000000357627869},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.0861257016658783}],"concepts":[{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.8705058097839355},{"id":"https://openalex.org/C28006648","wikidata":"https://www.wikidata.org/wiki/Q6934509","display_name":"Multi-task learning","level":3,"score":0.7433010339736938},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.7062122225761414},{"id":"https://openalex.org/C172623408","wikidata":"https://www.wikidata.org/wiki/Q7314263","display_name":"Representer theorem","level":5,"score":0.668237566947937},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5838457942008972},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5551587343215942},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5433682799339294},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5189763903617859},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5029591917991638},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.4423706531524658},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.43061190843582153},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.42794856429100037},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.40520644187927246},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3994878828525543},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.3786906599998474},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3557506203651428},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3351404666900635},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.30616065859794617},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11987742781639099},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09000000357627869},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.0861257016658783},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tnnls.2018.2873649","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2018.2873649","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:30371390","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/30371390","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null},{"id":"pmh:oai:opus.lib.uts.edu.au:10453/139393","is_oa":false,"landing_page_url":"http://hdl.handle.net/10453/139393","pdf_url":null,"source":{"id":"https://openalex.org/S4306401357","display_name":"UTS ePRESS (University of Technology Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114017466","host_organization_name":"University of Technology Sydney","host_organization_lineage":["https://openalex.org/I114017466"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3091033834","display_name":"ARC Research Hub for Driving Farming Productivity and Disease Prevention","funder_award_id":"IH180100002","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G458696858","display_name":"\u9ad8\u6548\u9c81\u68d2\u7684\u884c\u4eba\u91cd\u8bc6\u522b\u7814\u7a76","funder_award_id":"61872329","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5711944514","display_name":null,"funder_award_id":"DP-180103424","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G6400325034","display_name":null,"funder_award_id":"2017YFB1002203","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7022273352","display_name":null,"funder_award_id":"WF2100060004","funder_id":"https://openalex.org/F4320326297","funder_display_name":"Fok Ying Tung Education Foundation"},{"id":"https://openalex.org/G7474216883","display_name":null,"funder_award_id":"61572451","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7519899501","display_name":null,"funder_award_id":"FL-170100117","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326297","display_name":"Fok Ying Tung Education Foundation","ror":null},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W27434444","https://openalex.org/W1820257660","https://openalex.org/W1871863450","https://openalex.org/W1896424170","https://openalex.org/W1958932515","https://openalex.org/W1967849786","https://openalex.org/W2000292092","https://openalex.org/W2009211117","https://openalex.org/W2014764728","https://openalex.org/W2043216646","https://openalex.org/W2063978378","https://openalex.org/W2065180801","https://openalex.org/W2080917896","https://openalex.org/W2094919853","https://openalex.org/W2110994494","https://openalex.org/W2113120414","https://openalex.org/W2119821739","https://openalex.org/W2121959576","https://openalex.org/W2126288184","https://openalex.org/W2130903752","https://openalex.org/W2131479143","https://openalex.org/W2135316123","https://openalex.org/W2142058898","https://openalex.org/W2143104527","https://openalex.org/W2144752499","https://openalex.org/W2145178286","https://openalex.org/W2148522164","https://openalex.org/W2153023098","https://openalex.org/W2158760659","https://openalex.org/W2159514083","https://openalex.org/W2164278908","https://openalex.org/W2246035736","https://openalex.org/W2326289026","https://openalex.org/W2331050942","https://openalex.org/W2401764675","https://openalex.org/W2571099869","https://openalex.org/W2592206372","https://openalex.org/W2745244513","https://openalex.org/W2763933010","https://openalex.org/W2949211415","https://openalex.org/W2951882412","https://openalex.org/W2963424430","https://openalex.org/W2964121793","https://openalex.org/W4234149415","https://openalex.org/W4239510810","https://openalex.org/W4292363360","https://openalex.org/W6636918297","https://openalex.org/W6639248675","https://openalex.org/W6639495226","https://openalex.org/W6676678553","https://openalex.org/W6678737727","https://openalex.org/W6679468046","https://openalex.org/W6679734692","https://openalex.org/W6679786247","https://openalex.org/W6681116940","https://openalex.org/W6681414149","https://openalex.org/W6682205712","https://openalex.org/W6682358801","https://openalex.org/W6683357344","https://openalex.org/W6734105973"],"related_works":["https://openalex.org/W2061713275","https://openalex.org/W1994655188","https://openalex.org/W2591253179","https://openalex.org/W598858589","https://openalex.org/W1975708617","https://openalex.org/W4243330733","https://openalex.org/W2172290429","https://openalex.org/W3101749733","https://openalex.org/W2232554483","https://openalex.org/W2111121652"],"abstract_inverted_index":{"Multitask":[0],"learning":[1,18,44,101,159,179,187],"aims":[2],"to":[3,47,138],"improve":[4,139],"the":[5,12,21,26,29,33,67,78,125,167,171],"performance":[6],"on":[7,25,41,89,134,183],"related":[8],"tasks":[9,24,116],"by":[10,114,178],"exploring":[11],"interdependence":[13],"among":[14,23],"them.":[15],"Existing":[16],"multitask":[17,43,100,186],"methods":[19],"explore":[20],"relatedness":[22,50],"basis":[27],"of":[28,84,106,109,149,170],"input":[30],"features":[31],"and":[32,45,81,117,136,146,165],"model":[34],"parameters.":[35],"In":[36,92],"this":[37],"paper,":[38],"we":[39,95],"focus":[40],"nonparametric":[42],"propose":[46],"measure":[48],"task":[49,73,129],"from":[51],"a":[52,56,71,85,103],"novel":[53],"perspective":[54],"in":[55,120],"reproducing":[57],"kernel":[58],"Hilbert":[59],"space":[60],"(RKHS).":[61],"Past":[62],"works":[63],"have":[64],"shown":[65],"that":[66,124,157,166,191],"objective":[68,98],"function":[69],"for":[70,99,127],"given":[72],"can":[74,130,175],"be":[75,176],"approximated":[76],"using":[77],"top":[79],"eigenvalues":[80],"corresponding":[82],"eigenfunctions":[83,112,119,126],"predefined":[86],"integral":[87],"operator":[88],"an":[90],"RKHS.":[91],"our":[93,97,150,158,192],"method,":[94],"formulate":[96],"as":[102],"linear":[104],"combination":[105],"two":[107],"sets":[108,189],"eigenfunctions,":[110],"common":[111],"shared":[113],"different":[115],"unique":[118],"individual":[121],"tasks,":[122],"such":[123],"one":[128],"provide":[131],"additional":[132],"information":[133],"another":[135],"help":[137],"its":[140],"performance.":[141],"We":[142],"present":[143],"both":[144],"theoretical":[145,154],"empirical":[147],"validations":[148],"proposed":[151],"approach.":[152],"The":[153],"analysis":[155],"demonstrates":[156],"algorithm":[160],"is":[161],"uniformly":[162],"argument":[163],"stable":[164],"convergence":[168],"rate":[169],"generalization":[172],"upper":[173],"bound":[174],"improved":[177],"multiple":[180],"tasks.":[181],"Experiments":[182],"several":[184],"benchmark":[185],"data":[188],"show":[190],"method":[193],"yields":[194],"promising":[195],"results.":[196]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
