Functional ANOVA with Multiple Distributions: Implications for the Sensitivity Analysis of Computer Experiments
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Publication:4636378
DOI10.1137/16M1088545zbMath1387.62084arXiv1801.05186MaRDI QIDQ4636378
Elmar Plischke, Emanuele Borgonovo, Max D. Morris
Publication date: 19 April 2018
Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.05186
Nonparametric regression and quantile regression (62G08) Analysis of variance and covariance (ANOVA) (62J10)
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Cites Work
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- Sensitivity analysis: a review of recent advances
- General formulation of HDMR component functions with independent and correlated variables
- Functional ANOVA, ultramodularity and monotonicity: applications in multiattribute utility theory
- Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index
- Component selection and smoothing in multivariate nonparametric regression
- On concavity and supermodularity
- The formal definition of reference priors
- The jackknife estimate of variance
- Functional ANOVA models for generalized regression
- General foundations of high-dimensional model representations
- Making best use of model evaluations to compute sensitivity indices
- Projection estimation in multiple regression with application to functional ANOVA models
- Functional ANOVA modeling for proportional hazards regression.
- Generalized Hoeffding-Sobol decomposition for dependent variables -- application to sensitivity analysis
- Using recursive algorithms for the efficient identification of smoothing spline ANOVA models
- Bayesian functional ANOVA modeling using Gaussian process prior distributions
- The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
- A Generalized ANOVA Dimensional Decomposition for Dependent Probability Measures
- The Intrinsic Bayes Factor for Model Selection and Prediction
- ORTHOGONAL POLYNOMIAL EXPANSIONS FOR SOLVING RANDOM EIGENVALUE PROBLEMS
- On the Effects of Dimension Reduction Techniques on Some High-Dimensional Problems in Finance
- A polynomial dimensional decomposition for stochastic computing
- Monte Carlo Estimation under Different Distributions Using the Same Simulation
- Monotone Comparative Statics
- On the Relative Importance of Input Factors in Mathematical Models
- Better estimation of small sobol' sensitivity indices
- Inference in Smoothing Spline Analysis of Variance
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Probabilistic Sensitivity Analysis of Complex Models: A Bayesian Approach
- Classical subjective expected utility
- Variance Components and Generalized Sobol' Indices
- Uncertain Judgements: Eliciting Experts' Probabilities
- Ultramodular Functions
- Statistical Methods for Eliciting Probability Distributions
- Foundations of a General Theory of Sequential Decision Functions
- A Class of Statistics with Asymptotically Normal Distribution
