{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,8]],"date-time":"2026-06-08T16:58:17Z","timestamp":1780937897254,"version":"3.54.1"},"reference-count":71,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100013290","name":"National Key Research and Development Program of China Stem Cell and Translational Research","doi-asserted-by":"publisher","award":["2023YFB3406900"],"award-info":[{"award-number":["2023YFB3406900"]}],"id":[{"id":"10.13039\/501100013290","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52305255"],"award-info":[{"award-number":["52305255"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Reliability Engineering & System Safety"],"published-print":{"date-parts":[[2026,11]]},"DOI":"10.1016\/j.ress.2026.112765","type":"journal-article","created":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T15:09:23Z","timestamp":1776352163000},"page":"112765","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"P1","title":["Model calibration and reliability updating for array antenna using an integrated variational Bayesian and subset simulation framework"],"prefix":"10.1016","volume":"275","author":[{"given":"Shizhe","family":"Feng","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xu","family":"Yang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kai","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4726-1879","authenticated-orcid":false,"given":"Xinyu","family":"Jia","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.ress.2026.112765_bib0001","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2023.109510","article-title":"Survival signature based robust redundancy allocation under imprecise probability","volume":"239","author":"Ling","year":"2023","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0002","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2025.111128","article-title":"A generic quality and accuracy driven uncertainty quantification framework for reliability analysis","volume":"262","author":"Xu","year":"2025","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0003","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2025.111082","article-title":"Improving reliability of safety countermeasure evaluation at highway-rail grade crossings through aleatoric uncertainty modeling with machine learning techniques","volume":"261","author":"Zayandehroodi","year":"2025","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0004","article-title":"An enhanced computational approach for multi-physics coupling analysis of active phased array antenna","volume":"167","author":"Feng","year":"2024","journal-title":"Eng Anal Bound Elem"},{"key":"10.1016\/j.ress.2026.112765_bib0005","first-page":"1","article-title":"A novel HLAPAA sensor placement method with adaptive double population gray wolf optimizer","volume":"72","author":"Xu","year":"2023","journal-title":"IEEE Trans Instrum Meas"},{"key":"10.1016\/j.ress.2026.112765_bib0006","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1109\/TAP.2025.3533740","article-title":"A real-time approach for multi-physics field reconstruction of active phased array antenna","volume":"73","author":"Feng","year":"2025","journal-title":"IEEE Trans Antennas Propag"},{"key":"10.1016\/j.ress.2026.112765_bib0007","doi-asserted-by":"crossref","first-page":"760","DOI":"10.1016\/j.asr.2020.04.049","article-title":"Coupled structural-electromagnetic modeling and analysis of active membrane phased array antenna","volume":"66","author":"Fan","year":"2020","journal-title":"Adv Space Res"},{"key":"10.1016\/j.ress.2026.112765_bib0008","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1049\/iet-map.2008.0274","article-title":"Coupled structural-electromagnetic-thermal modelling and analysis of active phased array antennas","volume":"4","author":"Wang","year":"2010","journal-title":"IET Microw Antennas Propag"},{"key":"10.1016\/j.ress.2026.112765_bib0009","doi-asserted-by":"crossref","first-page":"5416","DOI":"10.1109\/ACCESS.2019.2963242","article-title":"Adaptive correction for radiation patterns of deformed phased array antenna","volume":"8","author":"Tang","year":"2020","journal-title":"IEEE Access"},{"key":"10.1016\/j.ress.2026.112765_bib0010","doi-asserted-by":"crossref","first-page":"64473","DOI":"10.1109\/ACCESS.2022.3183107","article-title":"Computer simulation of magnetoelectric antenna and performance comparison with micro-loop","volume":"10","author":"Rostami","year":"2022","journal-title":"IEEE Access"},{"key":"10.1016\/j.ress.2026.112765_bib0011","doi-asserted-by":"crossref","first-page":"3146","DOI":"10.1109\/TAP.2025.3526912","article-title":"A comprehensive Multi-field coupling simulation framework for broadband magnetoelectric antenna arrays","volume":"73","author":"Yang","year":"2025","journal-title":"IEEE Trans Antennas Propag"},{"key":"10.1016\/j.ress.2026.112765_bib0012","doi-asserted-by":"crossref","first-page":"1414","DOI":"10.3390\/rs17081414","article-title":"Analysis and correction of antenna pattern errors for In-orbit fully polarimetric aperture synthesis radiometer","volume":"17","author":"Wu","year":"2025","journal-title":"Remote Sens"},{"key":"10.1016\/j.ress.2026.112765_bib0013","doi-asserted-by":"crossref","first-page":"468","DOI":"10.1109\/LAWP.2021.3054382","article-title":"A simplified model for calculating efficiency loss of aperture illumination with phase errors for microwave power transmission","volume":"20","author":"Zhang","year":"2021","journal-title":"IEEE Antennas Wirel Propag Lett"},{"key":"10.1016\/j.ress.2026.112765_bib0014","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2025.117987","article-title":"State Space Kriging model for emulating complex nonlinear dynamical systems under stochastic excitation","volume":"442","author":"Cheng","year":"2025","journal-title":"Comput Meth Appl Mech Eng"},{"key":"10.1016\/j.ress.2026.112765_bib0015","doi-asserted-by":"crossref","DOI":"10.1016\/j.strusafe.2024.102484","article-title":"The first-order time-variant reliability expansion method","volume":"109","author":"Chen","year":"2024","journal-title":"Struct Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0016","article-title":"Semi-supervised cross-domain fault diagnosis via contrastive pre-training and annotation-efficient alignment strategy","volume":"50","author":"Yang","year":"2026","journal-title":"J Ind Inf Integr"},{"key":"10.1016\/j.ress.2026.112765_bib0017","doi-asserted-by":"crossref","DOI":"10.1016\/j.ymssp.2025.112898","article-title":"Efficient forward and inverse uncertainty quantification for dynamical systems based on dimension reduction and Kriging surrogate modeling in functional space","volume":"235","author":"Song","year":"2025","journal-title":"Mech Syst Sig Proc"},{"key":"10.1016\/j.ress.2026.112765_bib0018","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2025.112009","article-title":"Spatiotemporal storm surge modeling via computationally efficient Bayesian inference with diagrammatic perturbation technique","volume":"269","author":"Pandey","year":"2026","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0019","doi-asserted-by":"crossref","first-page":"8647","DOI":"10.3390\/s23208647","article-title":"Structural uncertainty analysis of high-temperature strain gauge based on Monte Carlo stochastic finite element method","volume":"23","author":"Zhao","year":"2023","journal-title":"Sensors"},{"key":"10.1016\/j.ress.2026.112765_bib0020","first-page":"455","article-title":"Updating models and their uncertainties I: Bayesian statistical framework","volume":"124","author":"Beck","year":"1998","journal-title":"J Eng Mech"},{"key":"10.1016\/j.ress.2026.112765_bib0021","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2021.107469","article-title":"Reliability analysis of a complex system with hybrid structures and multi-level dependent life metrics","volume":"209","author":"Yang","year":"2021","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0022","article-title":"Uncertainty informed calibration of thermal-hydraulic models for nuclear reactor via integrated neural network and optimization algorithm framework","volume":"23","author":"Xiong","year":"2026","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0023","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2025.111782","article-title":"Sequential surrogate modeling for inverse design with conformal inference-based uncertainty quantification","volume":"266","author":"Wu","year":"2026","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0024","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1016\/j.ress.2018.11.005","article-title":"Novel model calibration method via non-probabilistic interval characterization and bayesian theory","volume":"183","author":"Wang","year":"2019","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0025","doi-asserted-by":"crossref","first-page":"1291","DOI":"10.3390\/e24091291","article-title":"Multifidelity model calibration in structural dynamics using stochastic variational inference on manifolds","volume":"24","author":"Tsilifis","year":"2022","journal-title":"Entropy"},{"key":"10.1016\/j.ress.2026.112765_bib0026","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2024.117467","article-title":"Sampling-based adaptive bayesian quadrature for probabilistic model updating","volume":"433","author":"Song","year":"2025","journal-title":"Comput Meth Appl Mech Eng"},{"key":"10.1016\/j.ress.2026.112765_bib0027","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2025.111577","article-title":"An exponential normal transformation using the first three moments with application to structural reliability analysis","volume":"265","author":"Cai","year":"2026","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0028","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1090\/mcom\/3244","article-title":"Posterior consistency for Gaussian process approximations of bayesian posterior distributions","volume":"87","author":"Stuart","year":"2018","journal-title":"Math Comput"},{"key":"10.1016\/j.ress.2026.112765_bib0029","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2023.109262","article-title":"l-moments and bayesian inference for probabilistic risk assessment with scarce samples that include extremes","volume":"235","author":"Jayaraman","year":"2023","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0030","doi-asserted-by":"crossref","DOI":"10.1016\/j.ijfatigue.2023.107680","article-title":"Probabilistic fatigue life prediction for RC beams under chloride environment considering the statistical uncertainty by bayesian updating","volume":"173","author":"Wu","year":"2023","journal-title":"Int J Fatigue"},{"key":"10.1016\/j.ress.2026.112765_bib0031","doi-asserted-by":"crossref","DOI":"10.1016\/j.conbuildmat.2021.126189","article-title":"Bayesian inference for predicting the long-term deflection of prestressed concrete bridges by on-site measurements","volume":"320","author":"Jia","year":"2022","journal-title":"Constr Build Mater"},{"key":"10.1016\/j.ress.2026.112765_bib0032","doi-asserted-by":"crossref","DOI":"10.1016\/j.engstruct.2022.114836","article-title":"Development of a two-phase adaptive MCMC method for efficient bayesian model updating of complex dynamic systems","volume":"270","author":"Yang","year":"2022","journal-title":"Eng Struct"},{"key":"10.1016\/j.ress.2026.112765_bib0033","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.engstruct.2019.05.023","article-title":"Markov chain Monte Carlo-based bayesian model updating of a sailboat-shaped building using a parallel technique","volume":"193","author":"Lam","year":"2019","journal-title":"Eng Struct"},{"key":"10.1016\/j.ress.2026.112765_bib0034","doi-asserted-by":"crossref","DOI":"10.1016\/j.engstruct.2022.114294","article-title":"Bayesian updating for nuclear containment buildings using both mechanical and hydraulic monitoring data","volume":"262","author":"Rossat","year":"2022","journal-title":"Eng Struct"},{"key":"10.1016\/j.ress.2026.112765_bib0035","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2025.111337","article-title":"Explainable neural-networked variational inference: a new and fast paradigm with automatic differentiation for high-dimensional bayesian inverse problems","volume":"264","author":"Mo","year":"2025","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0036","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1023\/A:1007665907178","article-title":"An introduction to variational methods for graphical models","volume":"37","author":"Jordan","year":"1999","journal-title":"Mach Learn"},{"key":"10.1016\/j.ress.2026.112765_bib0037","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1561\/2200000001","article-title":"Graphical models, exponential families, and variational inference","volume":"1","author":"Wainwright","year":"2008","journal-title":"Found Trends Mach Learn"},{"key":"10.1016\/j.ress.2026.112765_bib0038","doi-asserted-by":"crossref","DOI":"10.1016\/j.ymssp.2024.111106","article-title":"Probabilistic model updating of civil structures with a decentralized variational inference approach","volume":"209","author":"Ni","year":"2024","journal-title":"Mech Syst Signal Proc"},{"key":"10.1016\/j.ress.2026.112765_bib0039","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2023.109800","article-title":"Remaining useful life prediction using nonlinear multi-phase Wiener process and variational bayesian approach","volume":"242","author":"Lin","year":"2024","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0040","doi-asserted-by":"crossref","first-page":"17006","DOI":"10.1109\/TAES.2025.3601102","article-title":"FDA-MIMO radar parameter estimation based on bayesian tensor decomposition","volume":"61","author":"Tang","year":"2025","journal-title":"IEEE Trans Aerosp Electron Syst"},{"key":"10.1016\/j.ress.2026.112765_bib0041","doi-asserted-by":"crossref","DOI":"10.1016\/j.ymssp.2025.113602","article-title":"Fast variational bayesian inference for structural finite element model updating","volume":"242","author":"Li","year":"2026","journal-title":"Mech Syst Signal Proc"},{"key":"10.1016\/j.ress.2026.112765_bib0042","doi-asserted-by":"crossref","DOI":"10.1016\/j.ymssp.2022.110060","article-title":"An analytically tractable solution for hierarchical bayesian model updating with variational inference scheme","volume":"189","author":"Jia","year":"2023","journal-title":"Mech Syst Sig Proc"},{"key":"10.1016\/j.ress.2026.112765_bib0043","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2021.113915","article-title":"Probabilistic model updating via variational bayesian inference and adaptive gaussian process modeling","volume":"383","author":"Ni","year":"2021","journal-title":"Comput Meth Appl Mech Eng"},{"key":"10.1016\/j.ress.2026.112765_bib0044","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/s11081-020-09517-8","article-title":"Bayesian optimization using deep gaussian processes with applications to aerospace system design","volume":"22","author":"Hebbal","year":"2021","journal-title":"Optim Eng"},{"key":"10.1016\/j.ress.2026.112765_bib0045","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1007\/s00158-024-03951-3","article-title":"Constrained bayesian optimization for engineering bridge design","volume":"68","author":"R\u00f8stum","year":"2025","journal-title":"Struct Multidiscip Optim"},{"key":"10.1016\/j.ress.2026.112765_bib0046","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1109\/TCYB.2013.2256892","article-title":"Meta-heuristic combining prior online and offline information for the quadratic assignment problem","volume":"44","author":"Sun","year":"2014","journal-title":"IEEE T Cybern"},{"key":"10.1016\/j.ress.2026.112765_bib0047","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2025.111093","article-title":"Graph-based reliability evaluation of a reconfigurable multi-stage system using sequential unconnected path sets","volume":"261","author":"Yang","year":"2025","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0048","doi-asserted-by":"crossref","DOI":"10.1016\/j.cie.2025.110893","article-title":"An evidence-based likelihood approach for the reliability of a complex system with overlapped failure data","volume":"201","author":"Yang","year":"2025","journal-title":"Comput Ind Eng"},{"key":"10.1016\/j.ress.2026.112765_bib0049","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2023.109536","article-title":"An information reuse-based method for reliability updating","volume":"239","author":"Li","year":"2023","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0050","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2024.110240","article-title":"Reliability evaluation of a multi-state system with dependent components and imprecise parameters: a structural reliability treatment","volume":"250","author":"Yang","year":"2024","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0051","doi-asserted-by":"crossref","DOI":"10.1016\/j.strusafe.2025.102574","article-title":"Enhanced sequential directional importance sampling for structural reliability analysis","volume":"114","author":"Cheng","year":"2025","journal-title":"Struc Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0052","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/S0266-8920(01)00019-4","article-title":"Estimation of small failure probabilities in high dimensions by subset simulation","volume":"16","author":"Au","year":"2001","journal-title":"Probab Eng Mech"},{"key":"10.1016\/j.ress.2026.112765_bib0053","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2022.108607","article-title":"An adaptive subset simulation algorithm for system reliability analysis with discontinuous limit states","volume":"225","author":"Chan","year":"2022","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0054","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.strusafe.2016.09.002","article-title":"Reliability analysis and updating of deteriorating systems with subset simulation","volume":"64","author":"Schneider","year":"2017","journal-title":"Struct Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0055","doi-asserted-by":"crossref","first-page":"1938","DOI":"10.1016\/j.ijheatmasstransfer.2009.12.062","article-title":"An edge-based smoothed point interpolation method (ES-PIM) for heat transfer analysis of rapid manufacturing system","volume":"53","author":"Wu","year":"2010","journal-title":"Int J Heat Mass Transf"},{"key":"10.1016\/j.ress.2026.112765_bib0056","doi-asserted-by":"crossref","first-page":"4385","DOI":"10.1109\/TAP.2019.2907363","article-title":"Adaptive compensation of flexible skin antenna with embedded fiber Bragg grating","volume":"67","author":"Zhou","year":"2019","journal-title":"IEEe Trans Antennas Propag"},{"key":"10.1016\/j.ress.2026.112765_bib0057","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1080\/00207210902738067","article-title":"Analysis of performance of active phased array antennas with distorted plane error","volume":"96","author":"Wang","year":"2009","journal-title":"Int J Electron"},{"key":"10.1016\/j.ress.2026.112765_bib0058","first-page":"345","article-title":"The temperature field reconstruction of active phased array antenna based on POD method","volume":"589","author":"Liu","year":"2020","journal-title":"Proc 7th Asia Int Symp Mechatron"},{"key":"10.1016\/j.ress.2026.112765_bib0059","doi-asserted-by":"crossref","first-page":"4422","DOI":"10.3390\/electronics13224422","article-title":"Hybrid sparse array design based on pseudo-random algorithm and convex optimization with wide beam steering","volume":"13","author":"Gao","year":"2024","journal-title":"Electronics"},{"key":"10.1016\/j.ress.2026.112765_bib0060","doi-asserted-by":"crossref","DOI":"10.1016\/j.strusafe.2025.102666","article-title":"Aleatory and epistemic uncertainty in reliability analysis: an engineering perspective","volume":"119","author":"Li","year":"2026","journal-title":"Struct Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0061","doi-asserted-by":"crossref","DOI":"10.1016\/j.compstruc.2025.107892","article-title":"A Neumann expansion-based sequential simulation method for structural interval finite element analysis","volume":"316","author":"Ni","year":"2025","journal-title":"Comput Struct"},{"key":"10.1016\/j.ress.2026.112765_bib0062","doi-asserted-by":"crossref","DOI":"10.1016\/j.ymssp.2024.111105","article-title":"A non-iterative partitioned computational method with the energy conservation property for time-variant dynamic systems","volume":"209","author":"Yuan","year":"2024","journal-title":"Mech Syst Sig Process"},{"key":"10.1016\/j.ress.2026.112765_bib0063","doi-asserted-by":"crossref","DOI":"10.1016\/j.ymssp.2024.111607","article-title":"A dimension reduction-based Kriging modeling method for high-dimensional time-variant uncertainty propagation and global sensitivity analysis","volume":"219","author":"Song","year":"2024","journal-title":"Mech Syst Sig Proc"},{"key":"10.1016\/j.ress.2026.112765_bib0064","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2024.110543","article-title":"Kinematic calibration of industrial robot using bayesian modeling framework","volume":"253","author":"Zhang","year":"2025","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0065","article-title":"Seismic fragility analysis of underground structures using Bayesian updated bilinear seismic demand models","volume":"269","author":"Zhang","year":"2025","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112765_bib0066","article-title":"Stochastic Newton and cubic Newton methods with simple local linear-quadratic rates","volume":"1912","author":"Kovalev","year":"2019","journal-title":"arXiv prepr arXiv"},{"key":"10.1016\/j.ress.2026.112765_bib0067","doi-asserted-by":"crossref","first-page":"348","DOI":"10.1137\/19M1261717","article-title":"An efficient stochastic newton algorithm for parameter estimation in logistic regressions","volume":"58","author":"Bercu","year":"2020","journal-title":"SIAM J Control Optim"},{"key":"10.1016\/j.ress.2026.112765_bib0068","doi-asserted-by":"crossref","first-page":"653","DOI":"10.1007\/s10589-020-00220-z","article-title":"Momentum and stochastic momentum for stochastic gradient, newton, proximal point and subspace descent methods","volume":"77","author":"Loizou","year":"2020","journal-title":"Comput Optim Appl"},{"key":"10.1016\/j.ress.2026.112765_bib0069","first-page":"1049","article-title":"Using large ensembles of control variates for variational inference","volume":"31","author":"Geffner","year":"2018","journal-title":"Neural Inf Process Syst"},{"key":"10.1016\/j.ress.2026.112765_bib0070","doi-asserted-by":"crossref","DOI":"10.1061\/(ASCE)EM.1943-7889.0001066","article-title":"Transitional Markov chain Monte Carlo: observations and improvements","volume":"142","author":"Betz","year":"2016","journal-title":"J Eng Mech -ASCE"},{"key":"10.1016\/j.ress.2026.112765_bib0071","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2025.110947","article-title":"Efficient seismic reliability and fragility analysis of lifeline networks using subset simulation","volume":"260","author":"Lee","year":"2025","journal-title":"Reliab Eng Syst Saf"}],"container-title":["Reliability Engineering & System Safety"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0951832026005764?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0951832026005764?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,6,8]],"date-time":"2026-06-08T16:02:53Z","timestamp":1780934573000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0951832026005764"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":71,"alternative-id":["S0951832026005764"],"URL":"https:\/\/doi.org\/10.1016\/j.ress.2026.112765","relation":{},"ISSN":["0951-8320"],"issn-type":[{"value":"0951-8320","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Model calibration and reliability updating for array antenna using an integrated variational Bayesian and subset simulation framework","name":"articletitle","label":"Article Title"},{"value":"Reliability Engineering & System Safety","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ress.2026.112765","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"112765"}}