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Robust design optimization by polynomial dimensional decomposition
16 references·14 citing·39 second hop
Robust design optimization by polynomial dimensional decomposition (2013)Robust design optimization by polynomial …Stochastic sensitivity analysis by dimensional decomposition and score functions (2008)Stochastic sensitivity analys…Robust design with arbitrary distributions using Gauss-type quadrature formula (2008)Robust design with arbitrary …Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis (2008)Eigenvector dimension reducti…A polynomial dimensional decomposition for stochastic computing (2008)A polynomial dimensional deco…Dimension reduction method for reliability-based robust design optimization (2007)Dimension reduction method fo…Robust Design: An Overview (2006)Robust Design: An OverviewAnalytical robustness assessment for robust design (2006)Analytical robustness assessm…A Methodology for Trading-Off Performance and Robustness Under Uncertainty (2005)A Methodology for Trading-Off…A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)A univariate dimension-reduct…A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)A generalized dimension‐reduc…Theorems and examples on high dimensional model representation (2003)Theorems and examples on high…Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design (1999)Towards a Better Understandin…A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors (1996)A Procedure for Robust Design…Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method (1995)Discrete Event Systems: Sensi…Taguchi on Robust Technology Development: Bringing Quality Engineering Upstream (1994)Taguchi on Robust Technology …Taguchi on Robust Technology Development (1993)Taguchi on Robust Technology …Analytical robust design optimization for hybrid design variables: An active-learning methodology based on polynomial chaos Kriging (2024)Analytical robust design opti…An adaptive data-driven subspace polynomial dimensional decomposition for high-dimensional uncertainty quantification based on maximum entropy method and sparse Bayesian learning (2024)An adaptive data-driven subsp…HIGH-DIMENSIONAL STOCHASTIC DESIGN OPTIMIZATION UNDER DEPENDENT RANDOM VARIABLES BY A DIMENSIONALLY DECOMPOSED GENERALIZED POLYNOMIAL CHAOS EXPANSION (2023)HIGH-DIMENSIONAL STOCHASTIC D…Robust design optimization by spline dimensional decomposition (2022)Robust design optimization by…Analytical robust design optimization based on a hybrid surrogate model by combining polynomial chaos expansion and Gaussian kernel (2022)Analytical robust design opti…Structural uncertainty analysis with the multiplicative dimensional reduction–based polynomial chaos expansion approach (2021)Structural uncertainty analys…Robust design optimization under dependent random variables by a generalized polynomial chaos expansion (2021)Robust design optimization un…A hybrid method for analysing stationary random vibration of structures with uncertain parameters (2021)A hybrid method for analysing…A global two-layer meta-model for response statistics in robust design optimization (2021)A global two-layer meta-model…Decoupling uncertainty quantification from robust design optimization (2019)Decoupling uncertainty quanti…Statistical moment analysis of multi-degree of freedom dynamic system based on polynomial dimensional decomposition method (2018)Statistical moment analysis o…A hybrid sequential approximate programming method for second-order reliability-based design optimization approach (2017)A hybrid sequential approxima…Robust Design Optimization for Crashworthiness of Vehicle Side Impact (2016)Robust Design Optimization fo…Novel computational methods for high‐dimensional stochastic sensitivity analysis (2014)Novel computational methods f…Sensitivity measures,anova-like Techniques and the use of bootstrap (1997)Efficient input—output model representations (1999)Estimating the approximation error when fixing unessential factors in global sensitivity analysis (2006)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Sensitivity analysis for volcanic source modeling quality assessment and model selection (2012)Signal-to-Noise Ratios, Performance Criteria, and Transformations (1988)Quality Engineering Using Robust Design (1991)Taguchi's Parameter Design: A Panel Discussion (1992)A review of robust optimal design and its application in dynamics (2004)Trends in Multiple Criteria Decision Analysis (2010)Structural Reliability Theory and Its Applications (1982)Probability, reliability and statistical methods in engineering design (1999)Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems (2008)Reliability-based design optimization of problems with correlated input variables using a Gaussian Copula (2008)Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)Simulation and the Monte Carlo Method (2016)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Stochastic Finite Elements: A Spectral Approach (1991)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A survey on approaches for reliability-based optimization (2010)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Exact and Invariant Second-Moment Code Format (1974)The use of metamodeling techniques for optimization under uncertainty (2003)A comparative study of uncertainty propagation methods for black-box-type problems (2008)Structural Reliability Analysis and Prediction (2017)Gradient Estimation via Perturbation Analysis 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this work references cited by second hop

References

  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 1996A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors566 cited
  • 1993Taguchi on Robust Technology Development546 cited
  • 2006Robust Design: An Overview494 cited
  • 2003Theorems and examples on high dimensional model representation450 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 1994Taguchi on Robust Technology Development: Bringing Quality Engineering Upstream392 cited
  • 1995Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method383 cited
  • 1999Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design371 cited
  • 2007Dimension reduction method for reliability-based robust design optimization196 cited
  • 2008Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis179 cited
  • 2008A polynomial dimensional decomposition for stochastic computing140 cited
  • 2006Analytical robustness assessment for robust design115 cited
  • 2008Stochastic sensitivity analysis by dimensional decomposition and score functions94 cited

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  • 2008Robust design with arbitrary distributions using Gauss-type quadrature formula84 cited
  • 2005A Methodology for Trading-Off Performance and Robustness Under Uncertainty84 cited
  • Cited by

    • 2021Structural uncertainty analysis with the multiplicative dimensional reduction–based polynomial chaos expansion approach25 cited
    • 2021A hybrid method for analysing stationary random vibration of structures with uncertain parameters24 cited
    • 2014Novel computational methods for high‐dimensional stochastic sensitivity analysis24 cited
    • 2019Decoupling uncertainty quantification from robust design optimization21 cited
    • 2021Robust design optimization under dependent random variables by a generalized polynomial chaos expansion21 cited
    • 2018Statistical moment analysis of multi-degree of freedom dynamic system based on polynomial dimensional decomposition method19 cited
    • 2017A hybrid sequential approximate programming method for second-order reliability-based design optimization approach18 cited
    • 2022Analytical robust design optimization based on a hybrid surrogate model by combining polynomial chaos expansion and Gaussian kernel18 cited
    • 2024Analytical robust design optimization for hybrid design variables: An active-learning methodology based on polynomial chaos Kriging16 cited
    • 2016Robust Design Optimization for Crashworthiness of Vehicle Side Impact13 cited
    • 2022Robust design optimization by spline dimensional decomposition9 cited
    • 2024An adaptive data-driven subspace polynomial dimensional decomposition for high-dimensional uncertainty quantification based on maximum entropy method and sparse Bayesian learning9 cited
    • 2021A global two-layer meta-model for response statistics in robust design optimization8 cited
    • 2023HIGH-DIMENSIONAL STOCHASTIC DESIGN OPTIMIZATION UNDER DEPENDENT RANDOM VARIABLES BY A DIMENSIONALLY DECOMPOSED GENERALIZED POLYNOMIAL CHAOS EXPANSION7 cited