{"id":"https://openalex.org/W2875832803","doi":"https://doi.org/10.1109/access.2018.2852501","title":"Parameter Estimation of a Gaussian Mixture Model for Wind Power Forecast Error by Riemann L-BFGS Optimization","display_name":"Parameter Estimation of a Gaussian Mixture Model for Wind Power Forecast Error by Riemann L-BFGS Optimization","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2875832803","doi":"https://doi.org/10.1109/access.2018.2852501","mag":"2875832803"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2852501","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2852501","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2852501","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012718253","display_name":"Fuchao Ge","orcid":"https://orcid.org/0000-0002-8662-1320"},"institutions":[{"id":"https://openalex.org/I52158045","display_name":"China Agricultural University","ror":"https://ror.org/04v3ywz14","country_code":"CN","type":"education","lineage":["https://openalex.org/I52158045"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fuchao Ge","raw_affiliation_strings":["College of Information and Electrical Engineering, China Agricultural University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information and Electrical Engineering, China Agricultural University, Beijing, China","institution_ids":["https://openalex.org/I52158045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066538687","display_name":"Yuntao Ju","orcid":"https://orcid.org/0000-0001-8741-721X"},"institutions":[{"id":"https://openalex.org/I52158045","display_name":"China Agricultural University","ror":"https://ror.org/04v3ywz14","country_code":"CN","type":"education","lineage":["https://openalex.org/I52158045"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuntao Ju","raw_affiliation_strings":["College of Information and Electrical Engineering, China Agricultural University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-8741-721X","affiliations":[{"raw_affiliation_string":"College of Information and Electrical Engineering, China Agricultural University, Beijing, China","institution_ids":["https://openalex.org/I52158045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010433700","display_name":"Zhinan Qi","orcid":null},"institutions":[{"id":"https://openalex.org/I52158045","display_name":"China Agricultural University","ror":"https://ror.org/04v3ywz14","country_code":"CN","type":"education","lineage":["https://openalex.org/I52158045"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhinan Qi","raw_affiliation_strings":["College of Information and Electrical Engineering, China Agricultural University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information and Electrical Engineering, China Agricultural University, Beijing, China","institution_ids":["https://openalex.org/I52158045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110540713","display_name":"Yi Lin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yi Lin","raw_affiliation_strings":["State Grid Fujian Economic Research Institute, Fuzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Grid Fujian Economic Research Institute, Fuzhou, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":3.7876,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.93956318,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"38892","last_page":"38899"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11052","display_name":"Energy Load and Power Forecasting","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11052","display_name":"Energy Load and Power Forecasting","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.9887999892234802,"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"}},{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","score":0.9577999711036682,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/broyden\u2013fletcher\u2013goldfarb\u2013shanno-algorithm","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","score":0.8578552007675171},{"id":"https://openalex.org/keywords/mixture-model","display_name":"Mixture model","score":0.6168900728225708},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5679646730422974},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5350431203842163},{"id":"https://openalex.org/keywords/wind-power","display_name":"Wind power","score":0.5084325671195984},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.479190468788147},{"id":"https://openalex.org/keywords/expectation\u2013maximization-algorithm","display_name":"Expectation\u2013maximization algorithm","score":0.4527197480201721},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.43650922179222107},{"id":"https://openalex.org/keywords/error-function","display_name":"Error function","score":0.42812833189964294},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4253951907157898},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42439520359039307},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3588641583919525},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19628852605819702},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.09214791655540466},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08772313594818115}],"concepts":[{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.8578552007675171},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.6168900728225708},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5679646730422974},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5350431203842163},{"id":"https://openalex.org/C78600449","wikidata":"https://www.wikidata.org/wiki/Q43302","display_name":"Wind power","level":2,"score":0.5084325671195984},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.479190468788147},{"id":"https://openalex.org/C182081679","wikidata":"https://www.wikidata.org/wiki/Q1275153","display_name":"Expectation\u2013maximization algorithm","level":3,"score":0.4527197480201721},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.43650922179222107},{"id":"https://openalex.org/C202286095","wikidata":"https://www.wikidata.org/wiki/Q579262","display_name":"Error function","level":2,"score":0.42812833189964294},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4253951907157898},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42439520359039307},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3588641583919525},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19628852605819702},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.09214791655540466},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08772313594818115},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2852501","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2852501","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ecd31169966f48379d0e25503c93087d","is_oa":true,"landing_page_url":"https://doaj.org/article/ecd31169966f48379d0e25503c93087d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 6, Pp 38892-38899 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2852501","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2852501","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.9200000166893005,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G6000000200","display_name":null,"funder_award_id":"2016YFB0900101","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G916303358","display_name":null,"funder_award_id":"LAPS18015","funder_id":"https://openalex.org/F4320327677","funder_display_name":"State Key Laboratory Of Alternate Electrical Power System With Renewable Energy Sources"}],"funders":[{"id":"https://openalex.org/F4320327677","display_name":"State Key Laboratory Of Alternate Electrical Power System With Renewable Energy Sources","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W804282557","https://openalex.org/W992512344","https://openalex.org/W1967460951","https://openalex.org/W2014250782","https://openalex.org/W2051838370","https://openalex.org/W2061973578","https://openalex.org/W2079354271","https://openalex.org/W2101457442","https://openalex.org/W2102836090","https://openalex.org/W2112159553","https://openalex.org/W2140956445","https://openalex.org/W2167623372","https://openalex.org/W2199800958","https://openalex.org/W2202062742","https://openalex.org/W2214007837","https://openalex.org/W2295753575","https://openalex.org/W2462905479","https://openalex.org/W2528306447","https://openalex.org/W2605620338","https://openalex.org/W2765088069","https://openalex.org/W6622868495","https://openalex.org/W6625806482","https://openalex.org/W6680776171","https://openalex.org/W6684641359","https://openalex.org/W6697231415"],"related_works":["https://openalex.org/W2473373438","https://openalex.org/W2368486525","https://openalex.org/W2077224612","https://openalex.org/W2153481672","https://openalex.org/W2153238387","https://openalex.org/W4312864369","https://openalex.org/W84255947","https://openalex.org/W2014842417","https://openalex.org/W2502114474","https://openalex.org/W2061347451"],"abstract_inverted_index":{"With":[0],"the":[1,8,26,41,49,93,120,137,140,143,162],"increasing":[2],"penetration":[3],"of":[4,28,85,108,139],"wind":[5,11,132],"power":[6,12,29,133],"into":[7],"electricity":[9],"grid,":[10],"forecast":[13,30,134],"error":[14,61,135],"analysis":[15],"plays":[16],"an":[17,166],"important":[18],"role":[19],"in":[20,149],"operations":[21],"scheduling.":[22],"To":[23],"better":[24],"describe":[25],"characteristics":[27],"error,":[31],"a":[32,82,99,105,113],"probability":[33],"density":[34,43],"function":[35],"should":[36],"be":[37],"established.":[38],"Compared":[39],"with":[40,81,165],"Kernel":[42],"estimation":[44],"method,":[45,117],"this":[46,111],"paper":[47],"adopts":[48],"Gaussian":[50],"mixture":[51],"model":[52,141],"(GMM),":[53],"which":[54],"is":[55,123],"flexible":[56],"enough":[57],"to":[58],"capture":[59],"different":[60],"distribution":[62],"characteristics,":[63],"such":[64],"as":[65],"bias,":[66],"heavy":[67],"tail,":[68],"multi-peak,":[69],"and":[70,103,142],"so":[71],"on.":[72],"In":[73,110],"addition,":[74],"for":[75,125],"GMM":[76,126],"parameter":[77,127],"estimation,":[78],"when":[79],"dealing":[80],"large":[83],"number":[84,107],"multi-dimensional":[86,151],"data":[87,152],"sets":[88],"or":[89],"unbalanced":[90],"overlapping":[91],"mixtures,":[92],"expectation":[94],"maximization":[95],"(EM)":[96],"algorithm":[97,146,157],"shows":[98],"slower":[100],"convergence":[101,168],"speed":[102],"requires":[104],"high":[106],"iterations.":[109],"paper,":[112],"new":[114,144,155],"L-BFGS":[115],"optimization":[116,145,156],"based":[118],"on":[119,130],"Riemannian":[121],"manifold,":[122],"used":[124],"estimation.":[128],"Based":[129],"actual":[131],"data,":[136],"suitability":[138],"was":[147],"verified":[148],"large,":[150],"sets.":[153],"The":[154],"has":[158],"fewer":[159],"iterations":[160],"than":[161],"EM":[163],"algorithm,":[164],"improved":[167],"speed.":[169]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":9}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}