{"id":"https://openalex.org/W2048501857","doi":"https://doi.org/10.5220/0004974800050014","title":"A Walsh Analysis of Multilayer Perceptron Function","display_name":"A Walsh Analysis of Multilayer Perceptron Function","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2048501857","doi":"https://doi.org/10.5220/0004974800050014","mag":"2048501857"},"language":"en","primary_location":{"id":"doi:10.5220/0004974800050014","is_oa":false,"landing_page_url":"https://doi.org/10.5220/0004974800050014","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on Neural Computation Theory and Applications","raw_type":"proceedings-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/A5064464537","display_name":"Kevin Swingler","orcid":"https://orcid.org/0000-0002-4517-9433"},"institutions":[{"id":"https://openalex.org/I12093191","display_name":"University of Stirling","ror":"https://ror.org/045wgfr59","country_code":"GB","type":"education","lineage":["https://openalex.org/I12093191"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Kevin Swingler","raw_affiliation_strings":["University of Stirling, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Stirling, United Kingdom","institution_ids":["https://openalex.org/I12093191"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064464537"],"corresponding_institution_ids":["https://openalex.org/I12093191"],"apc_list":null,"apc_paid":null,"fwci":1.227,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.84572069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"5","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9520000219345093,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9125000238418579,"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/walsh-function","display_name":"Walsh function","score":0.620714545249939},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6149173378944397},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.535470187664032},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35107487440109253}],"concepts":[{"id":"https://openalex.org/C164319782","wikidata":"https://www.wikidata.org/wiki/Q1934233","display_name":"Walsh function","level":2,"score":0.620714545249939},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6149173378944397},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.535470187664032},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35107487440109253},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.5220/0004974800050014","is_oa":false,"landing_page_url":"https://doi.org/10.5220/0004974800050014","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on Neural Computation Theory and Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2065812748","https://openalex.org/W131231088","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2157754252","https://openalex.org/W2015906653","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2041069813"],"abstract_inverted_index":{"The":[0,84],"multilayer":[1],"perceptron":[2],"(MLP)":[3],"is":[4,20],"a":[5,52,87],"widely":[6],"used":[7,105],"neural":[8],"network":[9],"architecture,":[10],"but":[11],"it":[12],"suffers":[13],"from":[14],"the":[15,27,32,48,66,69,115],"fact\r\n\r\nthat":[16],"its":[17],"knowledge":[18],"representation":[19],"not":[21],"readily":[22],"interpreted.":[23],"Hidden":[24],"neurons":[25],"take":[26],"role":[28],"of":[29,38,68,77,98,102,118],"feature":[30],"detectors,\r\n\r\nbut":[31],"popular":[33],"learning":[34],"algorithms":[35],"(back":[36],"propagation":[37],"error,":[39],"for":[40,64],"example)":[41],"coupled":[42],"with":[43],"random":[44],"starting\r\n\r\nweights":[45],"mean":[46],"that":[47,74],"function":[49,70,111],"implemented":[50],"by":[51,72],"trained":[53,119],"MLP":[54,89],"can":[55],"be":[56],"difficult":[57],"to":[58,106],"analyse.":[59],"This":[60],"paper":[61],"proposes\r\n\r\na":[62],"method":[63],"understanding":[65],"structure":[67,112],"learned":[71],"MLPs":[73],"model":[75],"functions":[76],"the\r\n\r\nclass":[78],"f":[79],":":[80],"f􀀀1;1gn":[81],"!":[82],"Rm.":[83],"approach":[85],"characterises":[86],"given":[88],"using":[90],"Walsh":[91],"functions,":[92],"which":[93],"make":[94],"the\r\n\r\ninteractions":[95],"among":[96],"subsets":[97],"variables":[99],"explicit.":[100],"Demonstrations":[101],"this":[103],"analysis":[104],"monitor":[107],"complexity\r\n\r\nduring":[108],"learning,":[109],"understand":[110],"and":[113],"measure":[114],"generalisation":[116],"ability":[117],"networks":[120],"are\r\n\r\npresented.":[121]},"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}