{"id":"https://openalex.org/W1522370175","doi":"https://doi.org/10.1109/icsmc.2005.1571247","title":"Scale Equalized Higher-order Neural Networks","display_name":"Scale Equalized Higher-order Neural Networks","publication_year":2006,"publication_date":"2006-01-18","ids":{"openalex":"https://openalex.org/W1522370175","doi":"https://doi.org/10.1109/icsmc.2005.1571247","mag":"1522370175"},"language":"en","primary_location":{"id":"doi:10.1109/icsmc.2005.1571247","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2005.1571247","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE International Conference on Systems, Man and Cybernetics","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/A5100870866","display_name":"Chien-Ming Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I153512688","display_name":"National Taiwan Ocean University","ror":"https://ror.org/03bvvnt49","country_code":"TW","type":"education","lineage":["https://openalex.org/I153512688"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Chien-Ming Lin","raw_affiliation_strings":["Electrical Engineering Department, National Taiwan Ocean University, Keelung, Taiwan","Dept. of Electr. Eng., Nat.Taiwan Ocean Univ., Keelung, Taiwan"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, National Taiwan Ocean University, Keelung, Taiwan","institution_ids":["https://openalex.org/I153512688"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Nat.Taiwan Ocean Univ., Keelung, Taiwan","institution_ids":["https://openalex.org/I153512688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012176712","display_name":"Keng-Hsuan Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I153512688","display_name":"National Taiwan Ocean University","ror":"https://ror.org/03bvvnt49","country_code":"TW","type":"education","lineage":["https://openalex.org/I153512688"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Keng-Hsuan Wu","raw_affiliation_strings":["Electrical Engineering Department, National Taiwan Ocean University, Keelung, Taiwan","Dept. of Electr. Eng., Nat.Taiwan Ocean Univ., Keelung, Taiwan"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, National Taiwan Ocean University, Keelung, Taiwan","institution_ids":["https://openalex.org/I153512688"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Nat.Taiwan Ocean Univ., Keelung, Taiwan","institution_ids":["https://openalex.org/I153512688"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060687689","display_name":"Jung-Hua Wang","orcid":"https://orcid.org/0000-0003-1769-7396"},"institutions":[{"id":"https://openalex.org/I153512688","display_name":"National Taiwan Ocean University","ror":"https://ror.org/03bvvnt49","country_code":"TW","type":"education","lineage":["https://openalex.org/I153512688"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jung-Hua Wang","raw_affiliation_strings":["Electrical Engineering Department, National Taiwan Ocean University, Keelung, Taiwan","Dept. of Electr. Eng., Nat.Taiwan Ocean Univ., Keelung, Taiwan"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, National Taiwan Ocean University, Keelung, Taiwan","institution_ids":["https://openalex.org/I153512688"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Nat.Taiwan Ocean Univ., Keelung, Taiwan","institution_ids":["https://openalex.org/I153512688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100870866"],"corresponding_institution_ids":["https://openalex.org/I153512688"],"apc_list":null,"apc_paid":null,"fwci":0.4517,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71294466,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"816","last_page":"821"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","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/T10320","display_name":"Neural Networks and Applications","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/T10057","display_name":"Face and Expression Recognition","score":0.9975000023841858,"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"}},{"id":"https://openalex.org/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9713000059127808,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.6740381121635437},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6554680466651917},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.6421248316764832},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.6181886196136475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6143831610679626},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5875005722045898},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5504353046417236},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5265869498252869},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4937058389186859},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4540451765060425},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4485420882701874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40420058369636536}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6740381121635437},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6554680466651917},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.6421248316764832},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.6181886196136475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6143831610679626},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5875005722045898},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5504353046417236},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5265869498252869},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4937058389186859},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4540451765060425},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4485420882701874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40420058369636536},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsmc.2005.1571247","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2005.1571247","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE International Conference on Systems, Man and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W740415","https://openalex.org/W65738273","https://openalex.org/W1535810436","https://openalex.org/W1761010383","https://openalex.org/W1887386021","https://openalex.org/W2010150441","https://openalex.org/W2029949252","https://openalex.org/W2068777106","https://openalex.org/W2097000478","https://openalex.org/W2134383396","https://openalex.org/W2143867687","https://openalex.org/W2150913357","https://openalex.org/W2156471707","https://openalex.org/W2156909104","https://openalex.org/W2165350140","https://openalex.org/W4253020087","https://openalex.org/W6632223199","https://openalex.org/W6844803729"],"related_works":["https://openalex.org/W3208095355","https://openalex.org/W2052507016","https://openalex.org/W2180461068","https://openalex.org/W2177370417","https://openalex.org/W2051816080","https://openalex.org/W4231775656","https://openalex.org/W2156730189","https://openalex.org/W1981271055","https://openalex.org/W4310813911","https://openalex.org/W3182726073"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3],"novel":[4],"network,":[5],"called":[6],"scale":[7,18,31],"equalized":[8],"higher":[9,36,79],"order":[10,37,80],"neural":[11],"network":[12,64,92],"(SEHNN)":[13],"based":[14],"on":[15,61],"concept":[16],"of":[17,57,69,84,98],"equalization":[19],"(SE).":[20],"We":[21],"show":[22],"that":[23,34,75],"SE":[24,39],"is":[25,59],"particularly":[26],"useful":[27],"in":[28,82],"alleviating":[29],"the":[30,45,51,62,102],"divergence":[32],"problem":[33],"plagues":[35],"networks.":[38],"comprises":[40],"two":[41],"main":[42],"processes:":[43],"setting":[44],"initial":[46],"weight":[47],"vector":[48],"and":[49,90],"conducting":[50],"matrix":[52],"transformation.":[53],"An":[54],"illustrative":[55],"embodiment":[56],"SEHNN":[58,76,94],"built":[60],"Sigma-Pi":[63],"(SPN)":[65],"applied":[66],"to":[67,88,100],"task":[68],"function":[70],"approximation.":[71],"Empirical":[72],"results":[73],"verify":[74],"outperforms":[77],"other":[78],"networks":[81],"terms":[83],"computation":[85],"efficiency.":[86],"Compared":[87],"SPN,":[89],"Pi-Sigma":[91],"(PSN),":[93],"requires":[95],"less":[96],"number":[97],"epochs":[99],"complete":[101],"training":[103],"process.":[104]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}