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New validation metrics for models with multiple correlated responses
15 references·12 citing·37 second hop
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(1983)Geostatistics: Modeling Spatial Uncertainty (2000)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)Calibration, validation, and sensitivity analysis: What's what (2006)Structural Reliability Analysis and Prediction (2017)The American society of mechanical engineers (1902)CHAPMAN AND HALL (1985)Empirical Model Building and Response Surfaces (1988)Imprecise probabilities in engineering analyses (2013)Combustion kinetic model uncertainty quantification, propagation and minimization (2014)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Variance based sensitivity analysis of model output. 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this work references cited by second hop

References

  • 1989Design and Analysis of Computer Experiments6,958 cited
  • 1978Statistics for experimenters. An introduction to design, data analysis, and model building.4,021 cited
  • 1979Statistics for Experimenters: An Introduction to Design, Data Analysis and Model Building.2,003 cited
  • 2010Verification and Validation in Scientific Computing1,551 cited
  • 2011A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing810 cited
  • 2004Verification, validation, and predictive capability in computational engineering and physics721 cited
  • 2006Measures of agreement between computation and experiment: Validation metrics494 cited
  • 2006Goodness‐of‐fit Procedures for Copula Models Based on the Probability Integral Transformation407 cited
  • 2007Model validation and predictive capability for the thermal challenge problem322 cited
  • 2011Toward a Better Understanding of Model Validation Metrics175 cited
  • 2012Quantitative model validation techniques: New insights137 cited
  • 2012Improving Identifiability in Model Calibration Using Multiple Responses136 cited
  • 2007Algorithm for model validation: Theory and applications118 cited
  • 2009Validation of imprecise probability models107 cited

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2006
Validation of models with multivariate output
78 cited

Cited by

  • 2014A Bayesian statistical method for quantifying model form uncertainty and two model combination methods53 cited
  • 2015Integrating Bayesian Calibration, Bias Correction, and Machine Learning for the 2014 Sandia Verification and Validation Challenge Problem41 cited
  • 2020A model validation framework based on parameter calibration under aleatory and epistemic uncertainty37 cited
  • 2019Validation and uncertainty quantification of multiphase-CFD solvers: A data-driven Bayesian framework supported by high-resolution experiments34 cited
  • 2015Nonhierarchical multi‐model fusion using spatial random processes32 cited
  • 2016Validation metric based on Mahalanobis distance for models with multiple correlated responses28 cited
  • 2017A new method for model validation with multivariate output24 cited
  • 2019Testing Design Optimization for Uncertainty Reduction in Generating Off-Road Mobility Map Using a Bayesian Approach18 cited
  • 2019A new calibration metric that considers statistical correlation: Marginal Probability and Correlation Residuals15 cited
  • 2023A multi-region active learning Kriging method for response distribution construction of highly nonlinear problems13 cited
  • 2019Prediction assessment and validation of multiscale models for additively manufactured lattice structures under uncertainty13 cited
  • 2020Uncertainty quantification and statistical model validation for an offshore jacket structure panel given limited test data and simulation model13 cited