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Stochastic sensitivity analysis by dimensional decomposition and score functions
15 references·16 citing·43 second hop
Stochastic sensitivity analysis by dimensional decomposition and score functions (2008)Stochastic sensitivity analysis by dimens…Reliability-based design sensitivity by efficient simulation (2005)Reliability-based design sens…Decomposition methods for structural reliability analysis (2005)Decomposition methods for str…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…A fast approximate method for parameter sensitivity estimation in Monte Carlo structural reliability (2003)A fast approximate method for…Efficient uncertainty analysis methods for multidisciplinary robust design (2002)Efficient uncertainty analysi…Efficient Uncertainty Analysis Methods for Multidisciplinary Robust Design (2002)Efficient Uncertainty Analysi…Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method (1995)Discrete Event Systems: Sensi…Reliability-based optimization in structural engineering (1994)Reliability-based optimizatio…Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method (1994)Discrete Event Systems: Sensi…Gradient Estimation via Perturbation Analysis (1991)Gradient Estimation via Pertu…Finite Element Reliability of Geometrically Nonlinear Uncertain Structures (1991)Finite Element Reliability of…General multi-dimensional probability integration by directional simulation (1990)General multi-dimensional pro…A Unified View of the IPA, SF, and LR Gradient Estimation Techniques (1990)A Unified View of the IPA, SF…Design Sensitivity Analysis of Structural Systems (1986)Design Sensitivity Analysis o…Reliability-oriented sensitivity analysis in presence of data-driven epistemic uncertainty (2021)Reliability-oriented sensitiv…A priori error estimates for local reliability-based sensitivity analysis with Monte Carlo Simulation (2021)A priori error estimates for …Sampling-based system reliability-based design optimization using composite active learning Kriging (2020)Sampling-based system reliabi…Local reliability based sensitivity analysis with the moving particles method (2020)Local reliability based sensi…A new hybrid reliability‐based design optimization method under random and interval uncertainties (2020)A new hybrid reliability‐base…A Comparative Study of Formulations and Algorithms for Reliability-Based Co-Design Problems (2019)A Comparative Study of Formul…Reliability-based sensitivity estimators of rare event probability in the presence of distribution parameter uncertainty (2018)Reliability-based sensitivity…Copula-based decomposition approach for the derivative-based sensitivity of variance contributions with dependent variables (2017)Copula-based decomposition ap…An efficient sampling method for variance-based sensitivity analysis (2017)An 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engineering systems under uncertainty: a review (2022)Optimization via simulation: A review (1994)A simulation-based approach to two-stage stochastic programming with recourse (1998)A Guide to Sample Average Approximation (2014)Monte Carlo sampling-based methods for stochastic optimization (2014)Applied Statistical Decision Theory (1962)Probability, statistics, and decision for civil engineers (1970)Structural reliability under combined random load sequences (1978)Computational methods in optimization considering uncertainties – An overview (2008)Benchmark study of numerical methods for reliability-based design optimization (2009)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Subset simulation for structural reliability sensitivity analysis (2008)Reliability engineering (2011)Simulation and the Monte Carlo Method (2016)Structural Reliability Analysis and Prediction (2017)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)A Guide to Simulation. (1985)A guide to simulation (2nd ed.) (1986)Sensitivity Analysis for Simulations via Likelihood Ratios (1989)Active Nonlinear Tests (ANTs) of Complex Simulation Models (1998)Chapter 19 Gradient Estimation (2006)On loss functions and ranking forecasting performances of multivariate volatility models (2012)Sensitivity Analysis of Discrete Structural Systems (1986)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Optimization for Simulation: Theory vs. Practice (2002)Proceedings of the 2002 Winter Simulation Conference (2002)Simulation optimization: a review of algorithms and applications (2015)Minimax analysis of stochastic problems (2002)Stability of Stochastic Programming Problems (2003)Stochastic programming approach to optimization under uncertainty (2007)A comparative study of uncertainty propagation methods for black-box-type problems (2008)Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)
this work references cited by second hop

References

  • 1986Design Sensitivity Analysis of Structural Systems1,625 cited
  • 1991Gradient Estimation via Perturbation Analysis707 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 1994Reliability-based optimization in structural engineering550 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 1995Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method383 cited
  • 2005Reliability-based design sensitivity by efficient simulation330 cited
  • 1994Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method270 cited
  • 1990A Unified View of the IPA, SF, and LR Gradient Estimation Techniques211 cited
  • 2002Efficient Uncertainty Analysis Methods for Multidisciplinary Robust Design198 cited
  • 2003A fast approximate method for parameter sensitivity estimation in Monte Carlo structural reliability188 cited
  • 2002Efficient uncertainty analysis methods for multidisciplinary robust design184 cited
  • 1991Finite Element Reliability of Geometrically Nonlinear Uncertain Structures182 cited
  • 1990General multi-dimensional probability integration by directional simulation163 cited

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  • 2005Decomposition methods for structural reliability analysis159 cited
  • Cited by

    • 2011Sampling-Based Stochastic Sensitivity Analysis Using Score Functions for RBDO Problems With Correlated Random Variables83 cited
    • 2012Reliability–sensitivity analysis using dimension reduction methods and saddlepoint approximations66 cited
    • 2015Post optimization for accurate and efficient reliability‐based design optimization using second‐order reliability method based on importance sampling and its stochastic sensitivity analysis50 cited
    • 2016A new RBDO method using adaptive response surface and first-order score function for crashworthiness design44 cited
    • 2017An efficient sampling method for variance-based sensitivity analysis44 cited
    • 2018Reliability-based sensitivity estimators of rare event probability in the presence of distribution parameter uncertainty40 cited
    • 2021Reliability-oriented sensitivity analysis in presence of data-driven epistemic uncertainty38 cited
    • 2021A priori error estimates for local reliability-based sensitivity analysis with Monte Carlo Simulation37 cited
    • 2020A new hybrid reliability‐based design optimization method under random and interval uncertainties36 cited
    • 2019A Comparative Study of Formulations and Algorithms for Reliability-Based Co-Design Problems36 cited
    • 2017Copula-based decomposition approach for the derivative-based sensitivity of variance contributions with dependent variables34 cited
    • 2015Reliability-based design optimization by adaptive-sparse polynomial dimensional decomposition33 cited
    • 2013Robust design optimization by polynomial dimensional decomposition33 cited
    • 2020Local reliability based sensitivity analysis with the moving particles method30 cited
    • 2020Sampling-based system reliability-based design optimization using composite active learning Kriging27 cited
    • 2013Sampling-based approach for design optimization in the presence of interval variables26 cited