{"id":"https://openalex.org/W2132477882","doi":"https://doi.org/10.1109/tnn.2010.2096824","title":"Lower Upper Bound Estimation Method for Construction of Neural Network-Based Prediction Intervals","display_name":"Lower Upper Bound Estimation Method for Construction of Neural Network-Based Prediction Intervals","publication_year":2010,"publication_date":"2010-12-23","ids":{"openalex":"https://openalex.org/W2132477882","doi":"https://doi.org/10.1109/tnn.2010.2096824","mag":"2132477882","pmid":"https://pubmed.ncbi.nlm.nih.gov/21189235"},"language":"en","primary_location":{"id":"doi:10.1109/tnn.2010.2096824","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2010.2096824","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"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 Neural Networks","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/A5059557438","display_name":"Abbas Khosravi","orcid":"https://orcid.org/0000-0001-6927-0744"},"institutions":[{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"A Khosravi","raw_affiliation_strings":["Center for Intelligent Systems Research, Deakin University, Geelong, Victoria 3117, Australia. abbas.khosravi@deakin.edu.au","Center for Intelli gent Syst. Res., Deakin Univ., Geelong, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Intelligent Systems Research, Deakin University, Geelong, Victoria 3117, Australia. abbas.khosravi@deakin.edu.au","institution_ids":["https://openalex.org/I149704539"]},{"raw_affiliation_string":"Center for Intelli gent Syst. Res., Deakin Univ., Geelong, VIC, Australia","institution_ids":["https://openalex.org/I149704539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015293969","display_name":"Saeid Nahavandi","orcid":"https://orcid.org/0000-0002-0360-5270"},"institutions":[{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"S Nahavandi","raw_affiliation_strings":["Center of Intelligent Systems Research, Deakin University, Geelong, VIC, Australia","Center for Intelli gent Syst. Res., Deakin Univ., Geelong, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Intelligent Systems Research, Deakin University, Geelong, VIC, Australia","institution_ids":["https://openalex.org/I149704539"]},{"raw_affiliation_string":"Center for Intelli gent Syst. Res., Deakin Univ., Geelong, VIC, Australia","institution_ids":["https://openalex.org/I149704539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109097718","display_name":"Doug Creighton","orcid":null},"institutions":[{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"D Creighton","raw_affiliation_strings":["Center of Intelligent Systems Research, Deakin University, Geelong, VIC, Australia","Center for Intelli gent Syst. Res., Deakin Univ., Geelong, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Intelligent Systems Research, Deakin University, Geelong, VIC, Australia","institution_ids":["https://openalex.org/I149704539"]},{"raw_affiliation_string":"Center for Intelli gent Syst. Res., Deakin Univ., Geelong, VIC, Australia","institution_ids":["https://openalex.org/I149704539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013978386","display_name":"Amir F. Atiya","orcid":"https://orcid.org/0000-0001-8766-5600"},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"A F Atiya","raw_affiliation_strings":["Department of Computer Engineering, Cairo University, Cairo, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Cairo University, Cairo, Egypt","institution_ids":["https://openalex.org/I145487455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5059557438"],"corresponding_institution_ids":["https://openalex.org/I149704539"],"apc_list":null,"apc_paid":null,"fwci":10.4358,"has_fulltext":false,"cited_by_count":735,"citation_normalized_percentile":{"value":0.98295017,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"22","issue":"3","first_page":"337","last_page":"346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11918","display_name":"Forecasting Techniques and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11918","display_name":"Forecasting Techniques and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11326","display_name":"Stock Market Forecasting Methods","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11052","display_name":"Energy Load and Power Forecasting","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"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":0.7147369384765625},{"id":"https://openalex.org/keywords/prediction-interval","display_name":"Prediction interval","score":0.7009215950965881},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6488610506057739},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6360222101211548},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6336606740951538},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6175380945205688},{"id":"https://openalex.org/keywords/simulated-annealing","display_name":"Simulated annealing","score":0.6110383868217468},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5488137602806091},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46435144543647766},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.45850852131843567},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4309535622596741},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4172520041465759},{"id":"https://openalex.org/keywords/point-estimation","display_name":"Point estimation","score":0.4147481322288513},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.32450711727142334},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3203088641166687},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2789972722530365},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27249109745025635},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24029812216758728}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7147369384765625},{"id":"https://openalex.org/C103402496","wikidata":"https://www.wikidata.org/wiki/Q1106171","display_name":"Prediction interval","level":2,"score":0.7009215950965881},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6488610506057739},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6360222101211548},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6336606740951538},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6175380945205688},{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.6110383868217468},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5488137602806091},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46435144543647766},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.45850852131843567},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4309535622596741},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4172520041465759},{"id":"https://openalex.org/C41426520","wikidata":"https://www.wikidata.org/wiki/Q1192065","display_name":"Point estimation","level":2,"score":0.4147481322288513},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.32450711727142334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3203088641166687},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2789972722530365},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27249109745025635},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24029812216758728},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D011237","descriptor_name":"Predictive Value of Tests","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011237","descriptor_name":"Predictive Value of Tests","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011237","descriptor_name":"Predictive Value of Tests","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012985","descriptor_name":"Software Design","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012985","descriptor_name":"Software Design","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012985","descriptor_name":"Software Design","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1109/tnn.2010.2096824","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2010.2096824","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"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 Neural Networks","raw_type":"journal-article"},{"id":"pmid:21189235","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21189235","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 neural networks","raw_type":null},{"id":"pmh:oai:dro.deakin.edu.au:DU:30040646","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402457","display_name":"Deakin Research Online (Deakin University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149704539","host_organization_name":"Deakin University","host_organization_lineage":["https://openalex.org/I149704539"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1554663460","https://openalex.org/W1560021816","https://openalex.org/W1585404963","https://openalex.org/W1985579611","https://openalex.org/W1994513282","https://openalex.org/W2009875936","https://openalex.org/W2024060531","https://openalex.org/W2029486861","https://openalex.org/W2034544282","https://openalex.org/W2035174181","https://openalex.org/W2039852947","https://openalex.org/W2055336003","https://openalex.org/W2065005304","https://openalex.org/W2067796266","https://openalex.org/W2073040595","https://openalex.org/W2073894198","https://openalex.org/W2074523082","https://openalex.org/W2088538739","https://openalex.org/W2105400034","https://openalex.org/W2106780896","https://openalex.org/W2107376597","https://openalex.org/W2108647521","https://openalex.org/W2115299933","https://openalex.org/W2117829824","https://openalex.org/W2118277375","https://openalex.org/W2122251835","https://openalex.org/W2125336244","https://openalex.org/W2126084135","https://openalex.org/W2155816288","https://openalex.org/W2157496914","https://openalex.org/W2161234387","https://openalex.org/W2171776966","https://openalex.org/W2466299320","https://openalex.org/W2496780187","https://openalex.org/W4212774754","https://openalex.org/W4302422232","https://openalex.org/W4388297464"],"related_works":["https://openalex.org/W2022006488","https://openalex.org/W2055659379","https://openalex.org/W3101919479","https://openalex.org/W2784382917","https://openalex.org/W4386423551","https://openalex.org/W2967829699","https://openalex.org/W2736197475","https://openalex.org/W1585777004","https://openalex.org/W4293118265","https://openalex.org/W2903258941"],"abstract_inverted_index":{"Prediction":[0],"intervals":[1],"(PIs)":[2],"have":[3],"been":[4],"proposed":[5,65,93],"in":[6,162],"the":[7,15,21,57,80,89,113,122,133,152,167,180],"literature":[8],"to":[9,20,155],"provide":[10],"more":[11,187],"information":[12,111],"by":[13],"quantifying":[14],"level":[16],"of":[17,28,59,91,118,132,138,158],"uncertainty":[18],"associated":[19],"point":[22],"forecasts.":[23],"Traditional":[24],"methods":[25],"for":[26,56,61,78,120,130,144,174],"construction":[27,58,177],"neural":[29],"network":[30],"(NN)":[31],"based":[32],"PIs":[33,60,119,161],"suffer":[34],"from":[35],"restrictive":[36],"assumptions":[37],"about":[38,112],"data":[39],"distribution":[40],"and":[41,102,115,136,186],"massive":[42],"computational":[43],"loads.":[44],"In":[45],"this":[46],"paper,":[47],"we":[48],"propose":[49],"a":[50,92,163],"new,":[51],"fast,":[52],"yet":[53],"reliable":[54],"method":[55,71,106,127,154,182],"NN":[62,74,84,139],"predictions.":[63],"The":[64,105,124,141],"lower":[66,116],"upper":[67,114],"bound":[68],"estimation":[69],"(LUBE)":[70],"constructs":[72],"an":[73],"with":[75,170],"two":[76],"outputs":[77],"estimating":[79],"prediction":[81,175],"interval":[82,100,176],"bounds.":[83],"training":[85,121],"is":[86,128,183],"achieved":[87],"through":[88],"minimization":[90,131],"PI-based":[94],"objective":[95],"function,":[96],"which":[97],"covers":[98],"both":[99],"width":[101],"coverage":[103],"probability.":[104],"does":[107],"not":[108],"require":[109],"any":[110],"bounds":[117],"NN.":[123],"simulated":[125],"annealing":[126],"applied":[129],"cost":[134],"function":[135],"adjustment":[137],"parameters.":[140],"demonstrated":[142],"results":[143],"10":[145],"benchmark":[146],"regression":[147],"case":[148],"studies":[149],"clearly":[150],"show":[151],"LUBE":[153,181],"be":[156],"capable":[157],"generating":[159],"high-quality":[160],"short":[164],"time.":[165],"Also,":[166],"quantitative":[168],"comparison":[169],"three":[171],"traditional":[172],"techniques":[173],"reveals":[178],"that":[179],"simpler,":[184],"faster,":[185],"reliable.":[188]},"counts_by_year":[{"year":2026,"cited_by_count":24},{"year":2025,"cited_by_count":79},{"year":2024,"cited_by_count":75},{"year":2023,"cited_by_count":92},{"year":2022,"cited_by_count":83},{"year":2021,"cited_by_count":93},{"year":2020,"cited_by_count":65},{"year":2019,"cited_by_count":65},{"year":2018,"cited_by_count":37},{"year":2017,"cited_by_count":25},{"year":2016,"cited_by_count":27},{"year":2015,"cited_by_count":21},{"year":2014,"cited_by_count":23},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-02T09:04:35.204637","created_date":"2025-10-10T00:00:00"}