{"id":"https://openalex.org/W2136111828","doi":"https://doi.org/10.1109/dsd.2003.1231955","title":"A fast additive normalization method for exponential computation","display_name":"A fast additive normalization method for exponential computation","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2136111828","doi":"https://doi.org/10.1109/dsd.2003.1231955","mag":"2136111828"},"language":"en","primary_location":{"id":"doi:10.1109/dsd.2003.1231955","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dsd.2003.1231955","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Euromicro Symposium on Digital System Design, 2003. Proceedings.","raw_type":"proceedings-article"},"type":"conference-paper","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/A5075048279","display_name":"Chichyang Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I4880106","display_name":"Feng Chia University","ror":"https://ror.org/05vhczg54","country_code":"TW","type":"education","lineage":["https://openalex.org/I4880106"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chichyang Chen","raw_affiliation_strings":["Department of Information Engineering and Computer Science, Feng Chia University FCU, Taichung, Taiwan","[Dept. of Information Engineering and Computer Science, Feng Chia University, Taichung, Taiwan]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Computer Science, Feng Chia University FCU, Taichung, Taiwan","institution_ids":["https://openalex.org/I4880106"]},{"raw_affiliation_string":"[Dept. of Information Engineering and Computer Science, Feng Chia University, Taichung, Taiwan]","institution_ids":["https://openalex.org/I4880106"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101815063","display_name":"Ruilin Chen","orcid":"https://orcid.org/0000-0002-8715-8286"},"institutions":[{"id":"https://openalex.org/I4880106","display_name":"Feng Chia University","ror":"https://ror.org/05vhczg54","country_code":"TW","type":"education","lineage":["https://openalex.org/I4880106"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Rui-Lin Chen","raw_affiliation_strings":["Department of Information Engineering and Computer Science, Feng Chia University FCU, Taichung, Taiwan","[Dept. of Information Engineering and Computer Science, Feng Chia University, Taichung, Taiwan]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Computer Science, Feng Chia University FCU, Taichung, Taiwan","institution_ids":["https://openalex.org/I4880106"]},{"raw_affiliation_string":"[Dept. of Information Engineering and Computer Science, Feng Chia University, Taichung, Taiwan]","institution_ids":["https://openalex.org/I4880106"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019598631","display_name":"Ming\u2010Hwa Sheu","orcid":"https://orcid.org/0000-0002-8417-474X"},"institutions":[{"id":"https://openalex.org/I75357094","display_name":"National Yunlin University of Science and Technology","ror":"https://ror.org/04qkq2m54","country_code":"TW","type":"education","lineage":["https://openalex.org/I75357094"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ming-Hwa Sheu","raw_affiliation_strings":["Department of Electronic Engineering, National Yunlin University of Science and Technology, Yunlin, Taiwan","National Yunlin University Of Science and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, National Yunlin University of Science and Technology, Yunlin, Taiwan","institution_ids":["https://openalex.org/I75357094"]},{"raw_affiliation_string":"National Yunlin University Of Science and Technology","institution_ids":["https://openalex.org/I75357094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5207,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.6317174,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"286","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9980999827384949,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/normalization","display_name":"Normalization (sociology)","score":0.9430854320526123},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.7504404187202454},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7184147834777832},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6068541407585144},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.5812675952911377},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5666504502296448},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38387563824653625},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3382132947444916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33055204153060913},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.059490978717803955}],"concepts":[{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.9430854320526123},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.7504404187202454},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7184147834777832},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6068541407585144},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.5812675952911377},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5666504502296448},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38387563824653625},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3382132947444916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33055204153060913},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.059490978717803955},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/dsd.2003.1231955","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dsd.2003.1231955","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Euromicro Symposium on Digital System Design, 2003. Proceedings.","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1587217691","https://openalex.org/W2038723347","https://openalex.org/W2059034297","https://openalex.org/W2097741017","https://openalex.org/W2116958135","https://openalex.org/W2124907183","https://openalex.org/W2128615926","https://openalex.org/W2138705371","https://openalex.org/W2151511325","https://openalex.org/W2158115880","https://openalex.org/W2611623725","https://openalex.org/W6683532641"],"related_works":["https://openalex.org/W1602624896","https://openalex.org/W1519862060","https://openalex.org/W1634993130","https://openalex.org/W2084061773","https://openalex.org/W2104564563","https://openalex.org/W32300376","https://openalex.org/W2794917831","https://openalex.org/W2013108996","https://openalex.org/W3023224836","https://openalex.org/W1990369157"],"abstract_inverted_index":{"Conventional":[0],"additive":[1,14,96,103],"normalization":[2,15,32,49,56,97,104],"methods":[3],"suffer":[4],"from":[5,37,62],"its":[6,63],"linear":[7],"convergence":[8,70],"rate.":[9],"We":[10],"propose":[11],"a":[12,67,112,117],"new":[13,24,82],"method":[16,25,74,83,143],"for":[17],"the":[18,28,31,38,45,48,69,87,91,95,109,122,129],"computation":[19],"of":[20,30,47,72,80,94,111,124],"exponential":[21,114,119],"function.":[22],"This":[23],"can":[26,84],"allow":[27],"values":[29],"factors":[33,50],"be":[34],"obtained":[35,53,61],"directly":[36],"remaining":[39],"terms":[40],"without":[41],"any":[42],"computation.":[43],"Furthermore,":[44],"number":[46],"that":[51,60,135],"are":[52,144],"in":[54],"each":[55],"stage":[57],"is":[58,75],"twice":[59],"previous":[64],"stage.":[65],"As":[66],"result,":[68],"rate":[71],"our":[73,81,101,125,136,140],"exponential.":[76],"These":[77],"two":[78],"advantages":[79],"significantly":[85],"enhance":[86],"speed":[88],"and":[89,116,139],"reduce":[90],"hardware":[92],"cost":[93],"method.":[98],"Based":[99],"on":[100,128],"proposed":[102,137],"method,":[105],"we":[106,132],"have":[107,133],"designed":[108],"architectures":[110],"24-bit":[113,130],"unit":[115],"53-bit":[118],"unit.":[120],"From":[121],"results":[123],"thorough":[126],"simulations":[127],"unit,":[131],"verified":[134],"algorithm":[138],"error":[141],"analysis":[142],"correct.":[145]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
