{"id":"https://openalex.org/W2101205080","doi":"https://doi.org/10.1109/ijcnn.2008.4634015","title":"Properties of an invariant set of weights of perceptrons","display_name":"Properties of an invariant set of weights of perceptrons","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2101205080","doi":"https://doi.org/10.1109/ijcnn.2008.4634015","mag":"2101205080"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2008.4634015","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2008.4634015","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Joint Conference on Neural Networks (IEEE World Congress on Computational Intelligence)","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/A5110989046","display_name":"C.Y.-F. Ho","orcid":null},"institutions":[{"id":"https://openalex.org/I124357947","display_name":"University of London","ror":"https://ror.org/04cw6st05","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Charlotte Yuk-Fan Ho","raw_affiliation_strings":["University of London, London, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of London, London, United Kingdom","institution_ids":["https://openalex.org/I124357947"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022036826","display_name":"Bingo Wing\u2010Kuen Ling","orcid":"https://orcid.org/0000-0002-0633-7224"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Bingo Wing-Kuen Ling","raw_affiliation_strings":["King's College London, London, United Kingdom"],"affiliations":[{"raw_affiliation_string":"King's College London, London, United Kingdom","institution_ids":["https://openalex.org/I183935753"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110194126","display_name":"M. Nasir","orcid":null},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Muhammad H. U. Nasir","raw_affiliation_strings":["King's College London, London, United Kingdom"],"affiliations":[{"raw_affiliation_string":"King's College London, London, United Kingdom","institution_ids":["https://openalex.org/I183935753"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059514204","display_name":"Hak\u2010Keung Lam","orcid":"https://orcid.org/0000-0002-6572-7265"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Hak-Keung Lam","raw_affiliation_strings":["Hong Kong Polytechnic University, Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Hong Kong Polytechnic University, Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017703480","display_name":"Herbert Ho\u2010Ching Iu","orcid":"https://orcid.org/0000-0002-0687-4038"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Herbert H. C. Iu","raw_affiliation_strings":["University of Western Australia, Perth, Australia"],"affiliations":[{"raw_affiliation_string":"University of Western Australia, Perth, Australia","institution_ids":["https://openalex.org/I177877127"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5110989046"],"corresponding_institution_ids":["https://openalex.org/I124357947"],"apc_list":null,"apc_paid":null,"fwci":0.5854,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.78876735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1629","last_page":"1634"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9994000196456909,"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":0.9994000196456909,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10581","display_name":"Neural dynamics and brain function","score":0.960099995136261,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.7800781726837158},{"id":"https://openalex.org/keywords/perceptron","display_name":"Perceptron","score":0.7754595279693604},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.620124340057373},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.592566192150116},{"id":"https://openalex.org/keywords/injective-function","display_name":"Injective function","score":0.5631661415100098},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5302277207374573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4841681122779846},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43600213527679443},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3843780755996704},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37496858835220337},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.34008678793907166},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.32275861501693726},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23936083912849426},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1271854043006897}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7800781726837158},{"id":"https://openalex.org/C60908668","wikidata":"https://www.wikidata.org/wiki/Q690207","display_name":"Perceptron","level":3,"score":0.7754595279693604},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.620124340057373},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.592566192150116},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.5631661415100098},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5302277207374573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4841681122779846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43600213527679443},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3843780755996704},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37496858835220337},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.34008678793907166},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.32275861501693726},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23936083912849426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1271854043006897},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/ijcnn.2008.4634015","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2008.4634015","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Joint Conference on Neural Networks (IEEE World Congress on Computational Intelligence)","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.lincoln.ac.uk:2725","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196275","display_name":"Lincoln Repository (University of Lincoln)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51532219","host_organization_name":"University of Lincoln","host_organization_lineage":["https://openalex.org/I51532219"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop contribution"},{"id":"pmh:oai:pure.atira.dk:publications/be68dd21-bd78-48c8-a417-fa6f3e6977c5","is_oa":false,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/be68dd21-bd78-48c8-a417-fa6f3e6977c5","pdf_url":null,"source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ho, CY-F, Ling, BW-K, Nasir, H U, Lam, H-K & Iu, H 2008, Properties of an Invariant Set of Weights of Perceptrons. in 2008 International Joint Conference on Neural networks (IJCNN 2008). Hong Kong edn, vol. N/A, IEEE, Institute of Electrical and Electronics Engineers, NJ, USA, pp. 1629-1634.","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2071632820","https://openalex.org/W2095727900","https://openalex.org/W2122621581","https://openalex.org/W2136232598","https://openalex.org/W2164456063"],"related_works":["https://openalex.org/W4287020903","https://openalex.org/W2952259524","https://openalex.org/W2279732055","https://openalex.org/W2995857455","https://openalex.org/W4288805235","https://openalex.org/W2998840281","https://openalex.org/W2027277382","https://openalex.org/W2501456845","https://openalex.org/W2364052274","https://openalex.org/W2112997637"],"abstract_inverted_index":{"In":[0,17],"this":[1],"paper,":[2],"the":[3,13,19,22,32,55,62,66],"dynamics":[4],"of":[5,7],"weights":[6,53],"perceptrons":[8,77],"are":[9,93],"investigated":[10],"based":[11],"on":[12,31,75],"perceptron":[14],"training":[15],"algorithm.":[16],"particular,":[18],"condition":[20],"that":[21,38,51],"system":[23],"map":[24,44],"is":[25,28,45,49,69],"not":[26],"injective":[27],"derived.":[29],"Based":[30],"derived":[33],"condition,":[34],"an":[35],"invariant":[36,43,56,63,67],"set":[37,57,68],"results":[39,74],"to":[40,61],"a":[41],"bijective":[42],"characterized.":[46],"Also,":[47],"it":[48],"shown":[50],"some":[52],"outside":[54],"will":[58],"be":[59],"moved":[60],"set.":[64],"Hence,":[65],"attracting.":[70],"Computer":[71],"numerical":[72],"simulation":[73],"various":[76,80],"with":[78],"exhibiting":[79],"behaviors,":[81,86,92],"such":[82],"as":[83],"fixed":[84],"point":[85],"limit":[87],"cycle":[88],"behaviors":[89],"and":[90],"chaotic":[91],"illustrated.":[94]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}