{"id":"https://openalex.org/W4407732777","doi":"https://doi.org/10.1587/transinf.2024edp7235","title":"A Quasi-Newton Method for a Mean Variance Estimation Network","display_name":"A Quasi-Newton Method for a Mean Variance Estimation Network","publication_year":2025,"publication_date":"2025-02-19","ids":{"openalex":"https://openalex.org/W4407732777","doi":"https://doi.org/10.1587/transinf.2024edp7235"},"language":"en","primary_location":{"id":"doi:10.1587/transinf.2024edp7235","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2024edp7235","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/E108.D/8/E108.D_2024EDP7235/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.jstage.jst.go.jp/article/transinf/E108.D/8/E108.D_2024EDP7235/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Seiya SATOH","orcid":null},"institutions":[{"id":"https://openalex.org/I165522056","display_name":"Tokyo Denki University","ror":"https://ror.org/01pa62v70","country_code":"JP","type":"education","lineage":["https://openalex.org/I165522056"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Seiya SATOH","raw_affiliation_strings":["Tokyo Denki University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tokyo Denki University","institution_ids":["https://openalex.org/I165522056"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I165522056"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02285574,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"E108.D","issue":"8","first_page":"991","last_page":"1000"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9458000063896179,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11236","display_name":"Control Systems and Identification","score":0.9458000063896179,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10320","display_name":"Neural Networks and Applications","score":0.9304999709129333,"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/computer-science","display_name":"Computer science","score":0.7953206300735474},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.6343599557876587},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.5944266319274902},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.574560284614563},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35907745361328125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1783139407634735},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06242746114730835}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7953206300735474},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.6343599557876587},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.5944266319274902},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.574560284614563},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35907745361328125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1783139407634735},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06242746114730835},{"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/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","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/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/transinf.2024edp7235","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2024edp7235","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/E108.D/8/E108.D_2024EDP7235/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1587/transinf.2024edp7235","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2024edp7235","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/E108.D/8/E108.D_2024EDP7235/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407732777.pdf","grobid_xml":"https://content.openalex.org/works/W4407732777.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W196761320","https://openalex.org/W582134693","https://openalex.org/W1491468723","https://openalex.org/W1560021816","https://openalex.org/W1677182931","https://openalex.org/W1719489212","https://openalex.org/W1827621183","https://openalex.org/W2005136695","https://openalex.org/W2038210983","https://openalex.org/W2056641273","https://openalex.org/W2078409719","https://openalex.org/W2107463225","https://openalex.org/W2131494463","https://openalex.org/W2216314654","https://openalex.org/W2560321925","https://openalex.org/W2597357081","https://openalex.org/W2619307294","https://openalex.org/W2788433952","https://openalex.org/W2942231644","https://openalex.org/W2963285578","https://openalex.org/W2963466845","https://openalex.org/W2964121744","https://openalex.org/W3031420959","https://openalex.org/W3193912787","https://openalex.org/W3215626407","https://openalex.org/W4234996320","https://openalex.org/W4236290419","https://openalex.org/W4399422663"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W213655078"],"abstract_inverted_index":{"Mean":[0,100],"Variance":[1,101],"Estimation":[2,102],"networks":[3],"are":[4],"models":[5,272],"capable":[6],"of":[7,17,109,132,143,173],"predicting":[8,30,40,54,225,233,251,263],"not":[9,78,196],"only":[10,69],"the":[11,15,31,37,41,51,55,71,84,92,107,130,144,198,222,226,230,234,244,248,252,260,264],"mean":[12,32,42,227],"but":[13],"also":[14,159,256],"variance":[16],"a":[18,47,62,99,119,170,179,189],"distribution.":[19],"A":[20],"recent":[21],"study":[22,67],"has":[23,68,77],"demonstrated":[24],"that":[25,66,161],"using":[26,61,118,125,147],"separate":[27],"subnetworks":[28],"for":[29,39,53,74,97,221,224,229,232,247,250,259,262],"and":[33,35,76,104,122,135,153,213,236],"variance,":[34,56,235,265],"training":[36,50,75,98],"subnetwork":[38,52,85,110,223,231,249,261],"first":[43],"(a":[44],"process":[45],"called":[46],"warm-up)":[48],"before":[49],"is":[57],"more":[58,218,270],"effective":[59],"than":[60,185,228],"single":[63],"network.":[64],"However,":[65],"utilized":[70],"Adam":[72,152],"optimizer":[73],"explored":[79],"quasi-Newton":[80,95],"methods,":[81,139],"nor":[82],"varied":[83],"structures.":[86],"In":[87],"this":[88],"study,":[89],"we":[90],"introduce":[91],"Broyden-Fletcher-Goldfarb-Shanno":[93],"(BFGS)":[94],"method":[96],"network":[103],"examines":[105],"how":[106],"selection":[108],"structures":[111],"affects":[112],"performance.":[113,200],"We":[114],"conducted":[115],"an":[116],"experiment":[117],"synthetic":[120],"dataset":[121],"11":[123,145],"experiments":[124,146],"real-world":[126,148],"datasets":[127,168],"to":[128,164,268,274],"compare":[129],"performance":[131],"Adam,":[133],"BFGS,":[134,186],"three":[136],"other":[137,184,275],"learning":[138,182],"including":[140],"AdaHessian.":[141],"Out":[142],"datasets,":[149],"BFGS":[150,162,192,216,266],"outperformed":[151],"AdaHessian":[154],"in":[155],"seven":[156],"cases.":[157],"This":[158,201],"reveals":[160],"tended":[163,267],"perform":[165],"better":[166],"on":[167],"with":[169,181,191,207],"larger":[171],"number":[172,246],"data":[174],"points.":[175],"While":[176],"underfitting":[177],"was":[178,188,255],"problem":[180],"methods":[183],"overfitting":[187,202],"concern":[190],"when":[193],"it":[194],"did":[195],"achieve":[197],"best":[199],"issue":[203],"can":[204],"be":[205],"mitigated":[206],"techniques":[208],"such":[209],"as":[210,243],"early":[211],"stopping":[212],"regularization.":[214],"Additionally,":[215],"required":[217],"hidden":[219,239],"units":[220,240],"even":[237],"0":[238],"were":[241],"selected":[242],"optimal":[245],"variance.":[253],"It":[254],"observed":[257],"that,":[258],"select":[269],"compact":[271],"compared":[273],"methods.":[276]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}