{"id":"https://openalex.org/W2805775373","doi":"https://doi.org/10.1109/tcyb.2018.2838680","title":"Fisher Information Matrix of Unipolar Activation Function-Based Multilayer Perceptrons","display_name":"Fisher Information Matrix of Unipolar Activation Function-Based Multilayer Perceptrons","publication_year":2018,"publication_date":"2018-06-08","ids":{"openalex":"https://openalex.org/W2805775373","doi":"https://doi.org/10.1109/tcyb.2018.2838680","mag":"2805775373","pmid":"https://pubmed.ncbi.nlm.nih.gov/29994240"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2018.2838680","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2838680","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5083304003","display_name":"Weili Guo","orcid":"https://orcid.org/0000-0003-4459-9978"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weili Guo","raw_affiliation_strings":["Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-4459-9978","affiliations":[{"raw_affiliation_string":"Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068243197","display_name":"Yew-Soon Ong","orcid":"https://orcid.org/0000-0002-4480-169X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yew-Soon Ong","raw_affiliation_strings":["School of Computer Science and Engineering, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-4480-169X","affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080737555","display_name":"Yingjiang Zhou","orcid":"https://orcid.org/0000-0002-4481-3746"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingjiang Zhou","raw_affiliation_strings":["School of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-4481-3746","affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044654691","display_name":"Jaime Rubio Herv\u00e1s","orcid":"https://orcid.org/0000-0002-3249-9788"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Jaime Rubio Hervas","raw_affiliation_strings":["School of Computer Science and Engineering, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-3249-9788","affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048327458","display_name":"Aiguo Song","orcid":"https://orcid.org/0000-0002-1982-6780"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Aiguo Song","raw_affiliation_strings":["School of Instrument Science and Engineering, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-1982-6780","affiliations":[{"raw_affiliation_string":"School of Instrument Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051266803","display_name":"Haikun Wei","orcid":"https://orcid.org/0000-0002-6667-3166"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haikun Wei","raw_affiliation_strings":["Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-6667-3166","affiliations":[{"raw_affiliation_string":"Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6402,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.84704698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"49","issue":"8","first_page":"3088","last_page":"3098"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9998999834060669,"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/T10320","display_name":"Neural Networks and Applications","score":0.9995999932289124,"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":0.9843000173568726,"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/fisher-information","display_name":"Fisher information","score":0.7266442179679871},{"id":"https://openalex.org/keywords/perceptron","display_name":"Perceptron","score":0.6897072196006775},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5415113568305969},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5092211961746216},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.49078187346458435},{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.4844975173473358},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.46697449684143066},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4432045519351959},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4291665256023407},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.41646796464920044},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3659004271030426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.355716347694397},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.26156550645828247},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1638217270374298}],"concepts":[{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.7266442179679871},{"id":"https://openalex.org/C60908668","wikidata":"https://www.wikidata.org/wiki/Q690207","display_name":"Perceptron","level":3,"score":0.6897072196006775},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5415113568305969},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5092211961746216},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.49078187346458435},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.4844975173473358},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.46697449684143066},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4432045519351959},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4291665256023407},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.41646796464920044},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3659004271030426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.355716347694397},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.26156550645828247},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1638217270374298},{"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/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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcyb.2018.2838680","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2838680","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:29994240","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29994240","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 cybernetics","raw_type":null},{"id":"pmh:oai:dr.ntu.edu.sg:10356/139916","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/139916","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1849917844","display_name":null,"funder_award_id":"BK20150851","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G1930300670","display_name":null,"funder_award_id":"61374006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3174517361","display_name":null,"funder_award_id":"61773118","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5654152665","display_name":null,"funder_award_id":"61603196","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/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335471","display_name":"Jiangsu Planned Projects for Postdoctoral Research Funds","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W431873698","https://openalex.org/W1582314917","https://openalex.org/W1622676895","https://openalex.org/W1844261860","https://openalex.org/W1877062207","https://openalex.org/W1970789124","https://openalex.org/W1979962914","https://openalex.org/W1988485873","https://openalex.org/W1999590492","https://openalex.org/W2000156225","https://openalex.org/W2001689396","https://openalex.org/W2020107577","https://openalex.org/W2037985840","https://openalex.org/W2042318263","https://openalex.org/W2059406974","https://openalex.org/W2083518476","https://openalex.org/W2094595592","https://openalex.org/W2116017930","https://openalex.org/W2125911849","https://openalex.org/W2150731931","https://openalex.org/W2151257151","https://openalex.org/W2167729035","https://openalex.org/W2339745223","https://openalex.org/W2556434682","https://openalex.org/W2736488765","https://openalex.org/W2774227103","https://openalex.org/W2964309400","https://openalex.org/W4248597109","https://openalex.org/W6614922257","https://openalex.org/W6634980405","https://openalex.org/W6636489938","https://openalex.org/W6639024717","https://openalex.org/W6639250075","https://openalex.org/W6684497637"],"related_works":["https://openalex.org/W2977982891","https://openalex.org/W4298111019","https://openalex.org/W4315435472","https://openalex.org/W2103292044","https://openalex.org/W2296440556","https://openalex.org/W2170343060","https://openalex.org/W2088798842","https://openalex.org/W1482859693","https://openalex.org/W1987886632","https://openalex.org/W2100595623"],"abstract_inverted_index":{"The":[0],"multilayer":[1],"perceptrons":[2],"(MLPs)":[3],"are":[4,33,107],"widely":[5],"used":[6],"in":[7,12,53],"many":[8],"fields,":[9],"however,":[10],"singularities":[11,32],"the":[13,19,31,34,37,41,47,54,57,62,69,73,81,85,93,100,111,114],"parameter":[14,38],"space":[15,39],"may":[16],"seriously":[17],"influence":[18],"learning":[20,27,59],"dynamics":[21,60],"of":[22,36,56,61,72,113],"MLPs":[23,79],"and":[24,92],"cause":[25],"strange":[26],"behaviors.":[28],"Given":[29],"that":[30],"subspaces":[35],"where":[40,80],"Fisher":[42],"information":[43],"matrix":[44,91],"(FIM)":[45],"degenerates,":[46],"FIM":[48,74],"plays":[49],"a":[50],"key":[51],"role":[52],"study":[55],"singular":[58],"MLPs.":[63],"In":[64],"this":[65],"paper,":[66],"we":[67],"obtain":[68],"analytical":[70],"form":[71],"for":[75],"unipolar":[76,94],"activation":[77,101],"function-based":[78],"input":[82],"subjects":[83],"to":[84,109],"Gaussian":[86],"distribution":[87],"with":[88],"general":[89],"covariance":[90],"error":[95],"function":[96],"is":[97],"chosen":[98],"as":[99],"function.":[102],"Then":[103],"three":[104],"simulation":[105],"experiments":[106],"taken":[108],"verify":[110],"validity":[112],"obtained":[115],"results.":[116]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}