Turbine blade temperature transfer using the load surface method. - Lizhou Li; Zhenzhou Lu; Jingchao Wang; Zhufeng Yue (Comput. Aided Des., 2007)

Subset simulation for structural reliability sensitivity analysis. - Shufang Song; Zhenzhou Lu; Hongwei Qiao (Reliab. Eng. Syst. Saf., 2009)

Importance analysis for models with correlated input variables by the state dependent parameters method. - Luyi Li; Zhenzhou Lu; Changcong Zhou (Comput. Math. Appl., 2011)

Efficient sampling methods for global reliability sensitivity analysis. - Pengfei Wei 002; Zhenzhou Lu; Wenrui Hao; Jun Feng; Bintuan Wang (Comput. Phys. Commun., 2012)

A generalized Borgonovo's importance measure for fuzzy input uncertainty. - Shufang Song; Zhenzhou Lu; Lijie Cui (Fuzzy Sets Syst., 2012)

Importance measure of correlated normal variables and its sensitivity analysis. - Wenrui Hao; Zhenzhou Lu; Longfei Tian (Reliab. Eng. Syst. Saf., 2012)

A mean extrapolation technique for high reliability analysis. - Zhangchun Tang; Zhenzhou Lu; Pan Wang 002; Zhang Feng (Appl. Math. Comput., 2013)

Regional importance effect analysis of the input variables on failure probability and its state dependent parameter estimation. - Luyi Li; Zhenzhou Lu (Comput. Math. Appl., 2013)

A derivative based sensitivity measure of failure probability in the presence of epistemic and aleatory uncertainties. - Pan Wang 002; Zhenzhou Lu; Zhangchun Tang (Comput. Math. Appl., 2013)

Importance measure analysis with epistemic uncertainty and its moving least squares solution. - Pan Wang 002; Zhenzhou Lu; Zhangchun Tang (Comput. Math. Appl., 2013)

A new interpretation and validation of variance based importance measures for models with correlated inputs. - Wenrui Hao; Zhenzhou Lu; Luyi Li (Comput. Phys. Commun., 2013)

A new variance-based global sensitivity analysis technique. - Pengfei Wei 002; Zhenzhou Lu; Jingwen Song (Comput. Phys. Commun., 2013)

Moment-independent regional sensitivity analysis: Application to an environmental model. - Pengfei Wei 002; Zhenzhou Lu; Danqing Wu; Changcong Zhou (Environ. Model. Softw., 2013)

Uncertainty importance measure for models with correlated normal variables. - Wenrui Hao; Zhenzhou Lu; Pengfei Wei 002 (Reliab. Eng. Syst. Saf., 2013)

Importance analysis for models with correlated variables and its sparse grid solution. - Luyi Li; Zhenzhou Lu (Reliab. Eng. Syst. Saf., 2013)

The derivative based variance sensitivity analysis for the distribution parameters and its computation. - Pan Wang 002; Zhenzhou Lu; Bo Ren; Lei Cheng 002 (Reliab. Eng. Syst. Saf., 2013)

Discussion of paper by Ming Xu, Tao Chen and Xianhui Yang "The effect of parameter uncertainty on achieved safety integrity of safety system", Reliab. Eng. Syst. Saf., 99 (2012) 15-23. - Pengfei Wei 002; Zhenzhou Lu; Xiukai Yuan (Reliab. Eng. Syst. Saf., 2013)

Monte Carlo simulation for moment-independent sensitivity analysis. - Pengfei Wei 002; Zhenzhou Lu; Xiukai Yuan (Reliab. Eng. Syst. Saf., 2013)

Sensitivity analysis of the variance contributions with respect to the distribution parameters by the kernel function. - Pan Wang 002; Zhenzhou Lu; Jixiang Hu; Changcong Zhou (Comput. Math. Appl., 2014)

A fast computational method for moment-independent uncertainty importance measure. - Xiaopeng Luo; Zhenzhou Lu; Xin Xu 006 (Comput. Phys. Commun., 2014)

Reproducing kernel technique for high dimensional model representations (HDMR). - Xiaopeng Luo; Zhenzhou Lu; Xin Xu 006 (Comput. Phys. Commun., 2014)

Importance analysis on the failure probability of the fuzzy and random system and its state dependent parameter solution. - Luyi Li; Zhenzhou Lu; Lei Cheng 002; Danqing Wu (Fuzzy Sets Syst., 2014)

The uncertainty importance measures of the structural system in view of mixed uncertain variables. - Shufang Song; Zhenzhou Lu; Wei Li 127; Lijie Cui (Fuzzy Sets Syst., 2014)

An efficient approach for design optimization of structures involving fuzzy variables. - Zhangchun Tang; Zhenzhou Lu; Jixiang Hu (Fuzzy Sets Syst., 2014)

Reliability-Based Design Optimization for the Structures with Fuzzy Variables and Uncertain-but-Bounded Variables. - Zhangchun Tang; Zhenzhou Lu (J. Aerosp. Inf. Syst., 2014)

Global Sensitivity Analysis of Fuzzy Distribution Parameter on Failure Probability and Its Single-Loop Estimation. - Lei Cheng 002; Zhenzhou Lu; Luyi Li (J. Appl. Math., 2014)

The ordering importance measure of random variable and its estimation. - Lijie Cui; Zhenzhou Lu; Pan Wang 002; Weihu Wang (Math. Comput. Simul., 2014)

New validation metrics for models with multiple correlated responses. - Wei Li 127; Wei Chen; Zhen Jiang; Zhenzhou Lu; Yu Liu (Reliab. Eng. Syst. Saf., 2014)

A new kind of regional importance measure of the input variable and its state dependent parameter solution. - Luyi Li; Zhenzhou Lu; Jixiang Hu (Reliab. Eng. Syst. Saf., 2014)

Non-parametric kernel estimation for the ANOVA decomposition and sensitivity analysis. - Xiaopeng Luo; Zhenzhou Lu; Xin Xu 006 (Reliab. Eng. Syst. Saf., 2014)

Regional sensitivity analysis using revised mean and variance ratio functions. - Pengfei Wei 002; Zhenzhou Lu; Wenbin Ruan; Jingwen Song (Reliab. Eng. Syst. Saf., 2014)

Efficient approach for reliability-based optimization based on weighted importance sampling approach. - Xiukai Yuan; Zhenzhou Lu (Reliab. Eng. Syst. Saf., 2014)

A new method for evaluating Borgonovo moment-independent importance measure with its application in an aircraft structure. - Leigang Zhang; Zhenzhou Lu; Lei Cheng 002; Chongqing Fan (Reliab. Eng. Syst. Saf., 2014)

A new learning function for Kriging and its applications to solve reliability problems in engineering. - Zhaoyan Lv; Zhenzhou Lu; Pan Wang 002 (Comput. Math. Appl., 2015)

A numerical meshless method of soliton-like structures model via an optimal sampling density based kernel interpolation. - Xin Xu 006; Zhenzhou Lu; Xiaopeng Luo (Comput. Phys. Commun., 2015)

A comprehensive comparison of two variable importance analysis techniques in high dimensions: Application to an environmental multi-indicators system. - Pengfei Wei 002; Zhenzhou Lu; Jingwen Song (Environ. Model. Softw., 2015)

Point estimate-based importance analysis for structural models with correlated variables. - Changcong Zhou; Zhenzhou Lu; Bo Ren (Int. J. Syst. Sci., 2015)

Reliability Analysis in Presence of Random Variables and Fuzzy Variables. - Lijie Cui; Zhenzhou Lu; Guijie Li (J. Appl. Math., 2015)

Application of Rejection Sampling based methodology to variance based parametric sensitivity analysis. - Lei Cheng 002; Zhenzhou Lu; Leigang Zhang (Reliab. Eng. Syst. Saf., 2015)

Regional and parametric sensitivity analysis of Sobol' indices. - Pengfei Wei 002; Zhenzhou Lu; Jingwen Song (Reliab. Eng. Syst. Saf., 2015)

Variable importance analysis: A comprehensive review. - Pengfei Wei 002; Zhenzhou Lu; Jingwen Song (Reliab. Eng. Syst. Saf., 2015)

Model validation and calibration based on component functions of model output. - Danqing Wu; Zhenzhou Lu; Yanping Wang; Lei Cheng 002 (Reliab. Eng. Syst. Saf., 2015)

A new algorithm for importance analysis of the inputs with distribution parameter uncertainty. - Luyi Li; Zhenzhou Lu (Int. J. Syst. Sci., 2016)

A new kind of sensitivity index for multivariate output. - Luyi Li; Zhenzhou Lu; Danqing Wu (Reliab. Eng. Syst. Saf., 2016)

Time-dependent reliability sensitivity analysis of motion mechanisms. - Pengfei Wei 002; Jingwen Song; Zhenzhou Lu; Zhufeng Yue (Reliab. Eng. Syst. Saf., 2016)

A new effective screening design for structural sensitivity analysis of failure probability with the epistemic uncertainty. - Sinan Xiao; Zhenzhou Lu; Liyang Xu (Reliab. Eng. Syst. Saf., 2016)

Importance analysis for model with mixed uncertainties. - Luyi Li; Zhenzhou Lu (Fuzzy Sets Syst., 2017)

Multivariate sensitivity analysis based on the direction of eigen space through principal component analysis. - Sinan Xiao; Zhenzhou Lu; Liyang Xu (Reliab. Eng. Syst. Saf., 2017)

Validation metric based on Mahalanobis distance for models with multiple correlated responses. - Lufeng Zhao; Zhenzhou Lu; Wanying Yun; Wenjin Wang (Reliab. Eng. Syst. Saf., 2017)

Parametric Bootstrap Confidence Interval Method for the Power Law Process With Applications to Multiple Repairable Systems. - Yanping Wang; Zhenzhou Lu; Sinan Xiao (IEEE Access, 2018)

Sparse polynomial chaos expansion based on D-MORPH regression. - Kai Cheng; Zhenzhou Lu (Appl. Math. Comput., 2018)

Variance-based sensitivity analysis with the uncertainties of the input variables and their distribution parameters. - Pan Wang 002; Zhenzhou Lu; Sinan Xiao (Commun. Stat. Simul. Comput., 2018)

Sensitivity analysis of correlated outputs and its application to a dynamic model. - Liyang Xu; Zhenzhou Lu; Luyi Li; Yan Shi 014; Gang Zhao 002 (Environ. Model. Softw., 2018)

A probabilistic procedure for quantifying the relative importance of model inputs characterized by second-order probability models. - Pengfei Wei 002; Fuchao Liu; Zhenzhou Lu; Zuotao Wang (Int. J. Approx. Reason., 2018)

Failure-mode importance measures in structural system with multiple failure modes and its estimation using copula. - Liangli He; Zhenzhou Lu; Xinyao Li (Reliab. Eng. Syst. Saf., 2018)

A new method for model validation with multivariate output. - Luyi Li; Zhenzhou Lu (Reliab. Eng. Syst. Saf., 2018)

Copula-based decomposition approach for the derivative-based sensitivity of variance contributions with dependent variables. - Pan Wang 002; Zhenzhou Lu; Kaichao Zhang; Sinan Xiao; Zhufeng Yue (Reliab. Eng. Syst. Saf., 2018)

Multivariate global sensitivity analysis for dynamic models based on wavelet analysis. - Sinan Xiao; Zhenzhou Lu; Pan Wang 002 (Reliab. Eng. Syst. Saf., 2018)

A Concise Transformation Combined With Adaptive Kriging Model for Efficiently Estimating Regional Sensitivity on Failure Probability. - Jingyu Lei; Zhenzhou Lu; Yingshi Hu; Beixi Jia (IEEE Access, 2019)

Threshold-Type Binary Memristor Emulator Circuit. - Yan Liang 005; Zhenzhou Lu; Guangyi Wang; Dongsheng Yu; Herbert Ho-Ching Iu (IEEE Access, 2019)

Time-dependent failure possibility analysis under consideration of fuzzy uncertainty. - Chongqing Fan; Zhenzhou Lu; Yan Shi 014 (Fuzzy Sets Syst., 2019)

Global Sensitivity Analysis of the Failure Probability Upper Bound to Random and Fuzzy Inputs. - Yan Shi 014; Zhenzhou Lu; Lufeng Zhao (Int. J. Fuzzy Syst., 2019)

Gradient-enhanced high dimensional model representation via Bayesian inference. - Kai Cheng; Zhenzhou Lu; Kai Chaozhang (Knowl. Based Syst., 2019)

Time-variant reliability analysis based on high dimensional model representation. - Kai Cheng; Zhenzhou Lu (Reliab. Eng. Syst. Saf., 2019)

Efficient methods by active learning Kriging coupled with variance reduction based sampling methods for time-dependent failure probability. - Chunyan Ling; Zhenzhou Lu; Xianming Zhu (Reliab. Eng. Syst. Saf., 2019)

Derivative-based new upper bound of Sobol' sensitivity measure. - Shufang Song; Tong Zhou; Lu Wang 016; Sergei S. Kucherenko; Zhenzhou Lu (Reliab. Eng. Syst. Saf., 2019)

An elaborate algorithm for analyzing the Borgonovo moment-independent sensitivity by replacing the probability density function estimation with the probability estimation. - Wanying Yun; Zhenzhou Lu; Kaixuan Feng; Luyi Li (Reliab. Eng. Syst. Saf., 2019)

An efficient method for moment-independent global sensitivity analysis by dimensional reduction technique and principle of maximum entropy. - Wanying Yun; Zhenzhou Lu; Xian Jiang (Reliab. Eng. Syst. Saf., 2019)

Modeling Simplification and Dynamic Behavior of N-Shaped Locally-Active Memristor Based Oscillator. - Yan Liang 005; Zhenzhou Lu; Guangyi Wang; Yujiao Dong; Dongsheng Yu; Herbert Ho-Ching Iu (IEEE Access, 2020)

Measuring regional effects of model inputs with random Forest. - Jingwen Song; Zhenzhou Lu; Pengfei Wei 002 (Commun. Stat. Simul. Comput., 2020)

Bayesian optimum accelerated life test plans based on quantile regression. - Yicheng Zhou; Zhenzhou Lu; Yan Shi 014; Kai Cheng (Commun. Stat. Simul. Comput., 2020)

An efficient method combining active learning Kriging and Monte Carlo simulation for profust failure probability. - Chunyan Ling; Zhenzhou Lu; Bo Sun; Minjie Wang (Fuzzy Sets Syst., 2020)

A Decoupled Method for Credibility-Based Design Optimization with Fuzzy Variables. - Lu Wang 016; Zhenzhou Lu; Beixi Jia (Int. J. Fuzzy Syst., 2020)

A novel dual-stage adaptive Kriging method for profust reliability analysis. - Kaixuan Feng; Zhenzhou Lu; Lu Wang 016 (J. Comput. Phys., 2020)

An efficient method based on AK-MCS for estimating failure probability function. - Chunyan Ling; Zhenzhou Lu; Xiaobo Zhang (Reliab. Eng. Syst. Saf., 2020)

A novel learning function based on Kriging for reliability analysis. - Yan Shi 014; Zhenzhou Lu; Ruyang He; Yicheng Zhou; Siyu Chen (Reliab. Eng. Syst. Saf., 2020)

Global sensitivity analysis for multivariate output model and dynamic models. - Kaichao Zhang; Zhenzhou Lu; Kai Cheng; Laijun Wang; Yanling Guo (Reliab. Eng. Syst. Saf., 2020)

Active sparse polynomial chaos expansion for system reliability analysis. - Yicheng Zhou; Zhenzhou Lu; Wanying Yun (Reliab. Eng. Syst. Saf., 2020)

An efficient method for estimating failure probability of the structure with multiple implicit failure domains by combining Meta-IS with IS-AK. - Xianming Zhu; Zhenzhou Lu; Wanying Yun (Reliab. Eng. Syst. Saf., 2020)

Two Efficient AK-Based Global Reliability Sensitivity Methods by Elaborative Combination of Bayes' Theorem and the Law of Total Expectation in the Successive Intervals Without Overlapping. - Wanying Yun; Zhenzhou Lu; Kaixuan Feng; Xian Jiang; Pan Wang 002; Luyi Li (IEEE Trans. Reliab., 2020)

Fuzzy importance sampling method for estimating failure possibility. - Kaixuan Feng; Zhenzhou Lu; Chunyan Ling; Lu Wang 016 (Fuzzy Sets Syst., 2021)

Threshold-type memristor-based memory circuit. - Qingjian Li; Yan Liang 005; Zhenzhou Lu; Guangyi Wang (Int. J. Circuit Theory Appl., 2021)

Active learning Bayesian support vector regression model for global approximation. - Kai Cheng; Zhenzhou Lu (Inf. Sci., 2021)

Importance analysis on failure credibility of the fuzzy structure. - Chunyan Ling; Zhenzhou Lu (J. Intell. Fuzzy Syst., 2021)

Adaptive Bayesian support vector regression model for structural reliability analysis. - Kai Cheng; Zhenzhou Lu (Reliab. Eng. Syst. Saf., 2021)

Time-dependent structural system reliability analysis model and its efficiency solution. - Yingshi Hu; Zhenzhou Lu; Xia Jiang; Ning Wei; Changcong Zhou (Reliab. Eng. Syst. Saf., 2021)

Improved chance index and its solutions for quantifying the structural safety degree under twofold random uncertainty. - Fen Li; Zhenzhou Lu; Kaixuan Feng (Reliab. Eng. Syst. Saf., 2021)

Reliability index function approximation based on adaptive double-loop Kriging for reliability-based design optimization. - Xiaobo Zhang; Zhenzhou Lu; Kai Cheng (Reliab. Eng. Syst. Saf., 2021)

Local reliability sensitivity method by the reconstructed fraction moment constrained maximum entropy. - Ning Wei; Zhenzhou Lu; Yingshi Hu (Adv. Eng. Softw., 2022)

An efficient trajectory sampling design method for elementary effect based global sensitivity analysis. - Kaixuan Feng; Zhenzhou Lu; Sinan Xiao; Wanying Yun (Commun. Stat. Simul. Comput., 2022)

An efficient method by nesting adaptive Kriging into Importance Sampling for failure-probability-based global sensitivity analysis. - Jingyu Lei; Zhenzhou Lu; Lu Wang (Eng. Comput., 2022)

A New Reliability Approach for the Fuzzy and Random Structure Based on the Uniformly Distributed Membership Level. - Guijie Li; Zhenzhou Lu; Xiaobo Zhang; Feng Zhang (Int. J. Fuzzy Syst., 2022)

A new preventive maintenance strategy optimization model considering lifecycle safety. - Yan Shi 014; Zhenzhou Lu; Hong-Zhong Huang; Yu Liu 006; Yanfeng Li; Enrico Zio; Yicheng Zhou (Reliab. Eng. Syst. Saf., 2022)

Cross-entropy-based directional importance sampling with von Mises-Fisher mixture model for reliability analysis. - Xiaobo Zhang; Zhenzhou Lu; Kai Cheng (Reliab. Eng. Syst. Saf., 2022)

Fuzzy First-Order and Second Moment Method for Failure Credibility Analysis in the Presence of Fuzzy Uncertainty. - Beixi Jia; Zhenzhou Lu; Jingyu Lei (IEEE Trans. Fuzzy Syst., 2022)

Time-dependent reliability analysis method based on ARBIS and Kriging surrogate model. - Huan Liu; Xindang He; Pan Wang 002; Zhenzhou Lu; Zhufeng Yue (Eng. Comput., 2023)

An efficient algorithm for analyzing multimode structure system reliability by a new learning function of most reducing average probability of misjudging system state. - Ting Yu; Zhenzhou Lu; Wanying Yun (Reliab. Eng. Syst. Saf., 2023)

Locally-Active Memristors-Based Reactance-Less Oscillator. - Yan Liang 005; Shichang Wang; Yujiao Dong; Zhenzhou Lu; Guangyi Wang (IEEE Trans. Circuits Syst. II Express Briefs, 2023)

An eccentric radial-based importance sampling method for reliability analysis. - Ning Wei; Zhenzhou Lu; Yingshi Hu (Expert Syst. Appl., 2023)

An efficient hierarchical fuzzy simulation method for estimating failure possibility. - Xia Jiang; Zhenzhou Lu; Kaixuan Feng (Eng. Comput., 2023)

A New Compact Model for Third-Order Memristive Neuron With Box-Shaped Hysteresis and Dynamics Analysis. - Yan Liang 005; Shuaiqun Chen; Zhenzhou Lu; Guangyi Wang; Herbert Ho-Ching Iu (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2023)

Novel Kriging based learning function for system reliability analysis with correlated failure modes. - Kaixuan Feng; Zhenzhou Lu; Yixin Yang; Chunyan Ling; Pengfei He; Ying Dai (Reliab. Eng. Syst. Saf., 2023)

Stochastic collocation enhanced line sampling method for reliability analysis. - Ning Wei; Zhenzhou Lu; Yingshi Hu (Reliab. Eng. Syst. Saf., 2023)

Double locally active memristor-based inductor-free chaotic circuit. - Qingdian Geng; Yan Liang 005; Zhenzhou Lu; Herbert Ho-Ching Iu; Guangyi Wang (ISCAS, 2024)

Importance sampling enhanced by adaptive two-stage Kriging model and active subspace for analyzing rare probability with high dimensional input vector. - Yingshi Hu; Zhenzhou Lu; Ning Wei; Xia Jiang (Reliab. Eng. Syst. Saf., 2024)

An efficient method for estimating failure possibility function by combining adaptive Kriging model with augmented fuzzy simulation. - Xia Jiang; Zhenzhou Lu (Eng. Comput., 2024)

Designing a Fully Current-Controlled Memristors-Based Oscillator. - Yan Liang 005; Shichang Wang; Zhenzhou Lu; Yiqing Li; Kangtai Wang (Int. J. Bifurc. Chaos, 2024)

A novel quantile-based sequential optimization and reliability assessment method for safety life analysis. - Xia Jiang; Zhenzhou Lu (Reliab. Eng. Syst. Saf., 2024)

Two-Phase Adaptive Kriging Model Based Importance Sampling Method for Estimating Time-Dependent Failure Probability. - Kaixuan Feng; Zhenzhou Lu; Nan Ye; Pengfei He; Ying Dai (IEEE Trans. Reliab., 2024)

Metamodel-Based Directional Importance Sampling for Structural Reliability Analysis. - Nan Ye; Zhenzhou Lu; Xiaobo Zhang; Kaixuan Feng (IEEE Trans. Reliab., 2024)

An efficient surrogate model method considering the candidate sample pool reduction by safety optimal hypersphere for random-interval mixed reliability analysis. - Jiaqi Wang; Zhenzhou Lu (Eng. Comput., 2024)

A double-loop Kriging model algorithm combined with importance sampling for time-dependent reliability analysis. - Hengchao Li; Zhenzhou Lu; Kaixuan Feng (Eng. Comput., 2024)

A new learning function for estimating time-dependent failure possibility under fuzzy uncertainty. - Hanying Li; Zhenzhou Lu; Xia Jiang; Yixin Lu (Eng. Comput., 2024)

Capacitively Coupled Memristive Neurons on the Edge of Chaos. - Yan Liang 005; Kuixing Liu; Yujiao Dong; Zhenzhou Lu; Guangyi Wang (IEEE Trans. Circuits Syst. II Express Briefs, 2024)

Nb2O5 memristive neurons-based unsupervised learning network. - Zhenzhou Lu; Qian Zhu; Shuyu Shi; Kangtai Wang; Yan Liang 005 (Int. J. Circuit Theory Appl., 2024)

A Single-Loop Fuzzy Simulation-Based Adaptive Kriging Method for Estimating Time-Dependent Failure Possibility. - Kaixuan Feng; Zhenzhou Lu; Yixin Lu; Pengfei He (Int. J. Fuzzy Syst., 2024)

An Efficient Safety Life Analysis Method Under Required Failure Possibility Constraint by SK-FS-Based Dichotomy. - Xia Jiang; Zhenzhou Lu; Yingshi Hu (Int. J. Fuzzy Syst., 2024)

An extended prior distribution-based Bayes formula method for cumulative time-dependent failure probability function. - Yingshi Hu; Zhenzhou Lu; Jingyu Lei; Ning Wei; Jinghan Hu; Wenhao Li; Jing Lin (Expert Syst. Appl., 2025)

A novel cross-entropy-based importance sampling method for cumulative time-dependent failure probability function. - Yixin Lu; Zhenzhou Lu (Reliab. Eng. Syst. Saf., 2025)

Efficient global reliability sensitivity method by combining dimensional reduction integral with stochastic collocation. - Xiaomin Wu; Zhenzhou Lu (Reliab. Eng. Syst. Saf., 2025)