{"id":"https://openalex.org/W4415624814","doi":"https://doi.org/10.1109/tr.2025.3620010","title":"A Generalized Degradation Model Based on Semi-Physics-Informed Neural Stochastic Differential Equation","display_name":"A Generalized Degradation Model Based on Semi-Physics-Informed Neural Stochastic Differential Equation","publication_year":2025,"publication_date":"2025-10-28","ids":{"openalex":"https://openalex.org/W4415624814","doi":"https://doi.org/10.1109/tr.2025.3620010"},"language":null,"primary_location":{"id":"doi:10.1109/tr.2025.3620010","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2025.3620010","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"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 Reliability","raw_type":"journal-article"},"type":"article","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/A5037844504","display_name":"Zirong Wang","orcid":"https://orcid.org/0000-0003-0268-3709"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zirong Wang","raw_affiliation_strings":["Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-0268-3709","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100457758","display_name":"Zhen Chen","orcid":"https://orcid.org/0000-0003-2590-0307"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Chen","raw_affiliation_strings":["Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-2590-0307","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073881354","display_name":"Tangbin Xia","orcid":"https://orcid.org/0000-0001-9121-1716"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tangbin Xia","raw_affiliation_strings":["Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-9121-1716","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004079863","display_name":"Ershun Pan","orcid":"https://orcid.org/0000-0001-6026-9755"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ershun Pan","raw_affiliation_strings":["Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-6026-9755","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":0.4247,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66119847,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"74","issue":"4","first_page":"5820","last_page":"5834"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10663","display_name":"Advanced Battery Technologies Research","score":0.9301000237464905,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10663","display_name":"Advanced Battery Technologies Research","score":0.9301000237464905,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.04699999839067459,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.009800000116229057,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/prognostics","display_name":"Prognostics","score":0.6879000067710876},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6851999759674072},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5821999907493591},{"id":"https://openalex.org/keywords/degradation","display_name":"Degradation (telecommunications)","score":0.5580000281333923},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4781999886035919},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4699000120162964},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4514999985694885},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4453999996185303}],"concepts":[{"id":"https://openalex.org/C129364497","wikidata":"https://www.wikidata.org/wiki/Q3042561","display_name":"Prognostics","level":2,"score":0.6879000067710876},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6851999759674072},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5821999907493591},{"id":"https://openalex.org/C2779679103","wikidata":"https://www.wikidata.org/wiki/Q5251805","display_name":"Degradation (telecommunications)","level":2,"score":0.5580000281333923},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5055000185966492},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4781999886035919},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4699000120162964},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4514999985694885},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4453999996185303},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4320000112056732},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.37770000100135803},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3767000138759613},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.3167000114917755},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.31450000405311584},{"id":"https://openalex.org/C167966045","wikidata":"https://www.wikidata.org/wiki/Q5532625","display_name":"Generative model","level":3,"score":0.2924000024795532},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.27630001306533813},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C60391097","wikidata":"https://www.wikidata.org/wiki/Q1056809","display_name":"Wiener process","level":2,"score":0.26589998602867126},{"id":"https://openalex.org/C2780440489","wikidata":"https://www.wikidata.org/wiki/Q5227278","display_name":"Data-driven","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2615000009536743},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.25690001249313354},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.25540000200271606},{"id":"https://openalex.org/C2983447341","wikidata":"https://www.wikidata.org/wiki/Q1413083","display_name":"Model parameter","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tr.2025.3620010","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2025.3620010","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"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 Reliability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3729578903","display_name":null,"funder_award_id":"72071127","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3738846810","display_name":null,"funder_award_id":"72471143","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5663175558","display_name":"\u57fa\u4e8e\u901f\u7387-\u6ce2\u52a8\u76f8\u5173\u6548\u5e94\u7684\u591a\u9636\u6bb5\u9000\u5316\u5efa\u6a21\u4e0e\u5269\u4f59\u5bff\u547d\u9884\u6d4b\u7814\u7a76","funder_award_id":"72001138","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1978450991","https://openalex.org/W2026549506","https://openalex.org/W2108898839","https://openalex.org/W2170884511","https://openalex.org/W2621193011","https://openalex.org/W2740839424","https://openalex.org/W2791384746","https://openalex.org/W2803443000","https://openalex.org/W3009652674","https://openalex.org/W3040541001","https://openalex.org/W3044641766","https://openalex.org/W3088183650","https://openalex.org/W3136617877","https://openalex.org/W3148880356","https://openalex.org/W3162715830","https://openalex.org/W3193682283","https://openalex.org/W3213970741","https://openalex.org/W3213995262","https://openalex.org/W4226395004","https://openalex.org/W4312068053","https://openalex.org/W4313420234","https://openalex.org/W4327954986","https://openalex.org/W4377138484","https://openalex.org/W4388692662","https://openalex.org/W4390481192","https://openalex.org/W4390684418","https://openalex.org/W4390699620","https://openalex.org/W4390770102","https://openalex.org/W4393074087","https://openalex.org/W4396703971","https://openalex.org/W4401379646","https://openalex.org/W4401921943","https://openalex.org/W4403520981","https://openalex.org/W4405755252","https://openalex.org/W4406208332","https://openalex.org/W7108206904"],"related_works":[],"abstract_inverted_index":{"Accurate":[0],"degradation":[1,57,78,88,164,174],"modeling":[2],"is":[3,73,90,143,158],"a":[4,54,61,93],"prerequisite":[5],"for":[6,137,148],"reliable":[7],"prognostics.":[8],"When":[9],"historical":[10,130,166],"data":[11,175],"are":[12],"scarce":[13],"and":[14,27,29,116,126,172,179],"operating":[15,41,85,156],"conditions":[16,42,86,157],"vary":[17],"over":[18],"time,":[19],"conventional":[20],"approaches":[21],"struggle":[22],"to":[23,32,75],"balance":[24],"accuracy,":[25],"adaptability,":[26],"interpretability,":[28],"lack":[30],"robustness":[31,178],"changing":[33],"environments,":[34],"especially":[35],"when":[36],"encoding":[37],"the":[38,45,77,82,100,111,114,117,120,138,161,177,182],"effects":[39],"of":[40,84,113,123,151,163,181],"directly":[43],"in":[44,92],"model.":[46,184],"To":[47],"overcome":[48],"these":[49],"limitations,":[50],"this":[51],"paper":[52],"proposes":[53],"novel":[55],"generalized":[56],"model":[58],"based":[59],"on":[60,87,170],"semi-physics-informed":[62],"neural":[63,68],"stochastic":[64,69],"differential":[65,70],"equation,":[66],"where":[67],"equation":[71],"(NSDE)":[72],"utilized":[74],"describe":[76],"dynamics.":[79],"In":[80],"contrast,":[81],"effect":[83,122],"rate":[89],"injected":[91],"plug-and-play":[94],"prior":[95],"without":[96],"being":[97],"locked":[98],"into":[99],"NSDE":[101,115],"structure.":[102],"A":[103],"variational":[104],"inference-based":[105],"generative":[106],"training":[107],"procedure":[108],"jointly":[109],"estimates":[110],"parameters":[112],"prior,":[118],"mitigating":[119],"adverse":[121],"imperfect":[124],"physics":[125],"requiring":[127],"only":[128],"modest":[129],"data.":[131,167],"Then,":[132],"an":[133,146],"approximate":[134],"closed-form":[135],"distribution":[136],"remaining":[139],"useful":[140],"lifetime":[141],"(RUL)":[142],"derived.":[144],"Thus,":[145],"approach":[147],"RUL":[149],"prognostics":[150],"in-service":[152],"products":[153],"under":[154],"dynamic":[155],"established,":[159],"leveraging":[160],"knowledge":[162],"from":[165],"Comprehensive":[168],"studies":[169],"simulated":[171],"battery":[173],"demonstrate":[176],"effectiveness":[180],"proposed":[183]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-12-03T23:09:05.601824","created_date":"2025-10-28T00:00:00"}
