Computer model validation with functional output

DOI10.1214/009053607000000163zbMath1144.62368arXiv0711.3271OpenAlexW3099125944MaRDI QIDQ2466674

Yanyan Li

Publication date: 16 January 2008

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3271

zbMATH Keywords

Bayesian analysisbiasvalidationfunctional datacomputer modelsuncertain inputs

Mathematics Subject Classification ID

Related Items (70)

Probabilistic parameter estimation in a 2-step chemical kinetics model for n-dodecane jet autoignition ⋮ Fixed inducing points online Bayesian calibration for computer models with an application to a scale-resolving CFD simulation ⋮ Posterior belief assessment: extracting meaningful subjective judgements from Bayesian analyses with complex statistical models ⋮ Parameter estimation and sensitivity analysis in an agent-based model of \textit{Leishmania major} infection ⋮ Emulation of dynamic simulators with application to hydrology ⋮ Comparison of Statistical and Deterministic Frameworks of Uncertainty Quantification ⋮ Emulation of Multivariate Simulators Using Thin-Plate Splines with Application to Atmospheric Dispersion ⋮ Fast matrix algebra for Bayesian model calibration ⋮ Ice model calibration using semicontinuous spatial data ⋮ Spline-Based Emulators for Radiative Shock Experiments With Measurement Error ⋮ Construction of (nearly) orthogonal sliced Latin hypercube designs ⋮ Manifold learning for the emulation of spatial fields from computational models ⋮ A mechanistic dynamic emulator ⋮ Calibration of computer models with multivariate output ⋮ Uncertainty propagation in dynamic sub-structuring by model reduction integrated domain decomposition ⋮ Surrogate Modeling with Gaussian Processes for an Inverse Problem in Polymer Dynamics ⋮ Fast dimension-reduced climate model calibration and the effect of data aggregation ⋮ Efficient calibration for imperfect computer models ⋮ Calibration of Inexact Computer Models with Heteroscedastic Errors ⋮ A Reproducing Kernel Hilbert Space Approach to Functional Calibration of Computer Models ⋮ Reduced order models for many-query subsurface flow applications ⋮ A fast particle-based approach for calibrating a 3-D model of the Antarctic ice sheet ⋮ Exploratory ensemble designs for environmental models using k‐extended Latin Hypercubes ⋮ Spatiotemporal local interpolation of global ocean heat transport using argo floats: a debiased latent Gaussian process approach ⋮ Mechanism-based emulation of dynamic simulation models: concept and application in hydrology ⋮ Prototype selection for parameter estimation in complex models ⋮ A comparison of statistical emulation methodologies for multi‐wave calibration of environmental models ⋮ Computer experiments with functional inputs and scalar outputs by a norm-based approach ⋮ Calibrating a Stochastic, Agent-Based Model Using Quantile-Based Emulation ⋮ Hierarchical Bayesian models for predicting spatially correlated curves ⋮ Construction of sliced (nearly) orthogonal Latin hypercube designs ⋮ Emulated multivariate global sensitivity analysis for complex computer models applied to agricultural simulators ⋮ Spatial prediction of crystalline defects observed in molecular dynamic simulations of plastic damage ⋮ Functional emulation of high resolution tsunami modelling over cascadia ⋮ Dynamic simulation metamodeling using Mars: a case of radar simulation ⋮ Uncertainty analysis for computationally expensive models with multiple outputs ⋮ Consistency Analysis for Massively Inconsistent Datasets in Bound-to-Bound Data Collaboration ⋮ Physics-Based Kriging Surrogates for a Class of Finite Element Codes ⋮ Computer model validation with functional output ⋮ Robust Gaussian stochastic process emulation ⋮ Global sensitivity analysis of stochastic computer models with joint metamodels ⋮ Emulating dynamic non-linear simulators using Gaussian processes ⋮ Computer experiments: a review ⋮ Modelling of a thermomechanically coupled forming process based on functional outputs from a finite element analysis and from experimental measurements ⋮ A Kriging approach to the analysis of climate model experiments ⋮ A Theoretical Framework for Calibration in Computer Models: Parametrization, Estimation and Convergence Properties ⋮ Assessing first-order emulator inference for physical parameters in nonlinear mechanistic models ⋮ Computer model calibration based on image warping metrics: an application for sea ice deformation ⋮ Parameter estimation for computationally intensive nonlinear regression with an application to climate modeling ⋮ Uncertainty Quantification for Computer Models With Spatial Output Using Calibration-Optimal Bases ⋮ Estimation of an improved surrogate model in uncertainty quantification by neural networks ⋮ Estimation of a density using an improved surrogate model ⋮ Local Gaussian Process Model for Large-Scale Dynamic Computer Experiments ⋮ An estimation algorithm for fast Kriging surrogates of computer models with unstructured multiple outputs ⋮ Uncertainty Analysis for Functional Computer Output: A Simulation Study in Inverse Problems ⋮ Semi-parametric adjustment to computer models ⋮ A surrogate-based approach to nonlinear, non-Gaussian joint state-parameter data assimilation ⋮ A unified approach to environmental systems modeling ⋮ Gaussian Process Modeling of Finite Element Models with Functional Inputs ⋮ A Sequential Design Approach for Calibrating Dynamic Computer Simulators ⋮ Analyzing stochastic computer models: a review with opportunities ⋮ Robust System Design with Limited Experimental Data and an Inexact Simulation Model ⋮ Construction of nested space-filling designs ⋮ Bayesian emulation of complex multi-output and dynamic computer models ⋮ An Efficient Surrogate Model for Emulation and Physics Extraction of Large Eddy Simulations ⋮ Gaussian process emulators for spatial individual‐level models of infectious disease ⋮ Fast regression surrogates for computer models with time-dependent outputs ⋮ Computer Model Calibration with Time Series Data Using Deep Learning and Quantile Regression ⋮ Landmark-Warped Emulators for Models with Misaligned Functional Response ⋮ Intermediate Variable Emulation: Using Internal Processes in Simulators to Build More Informative Emulators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bayesian inference in wavelet-based models
• The design and analysis of computer experiments.
• Design and analysis of computer experiments. With comments and a rejoinder by the authors
• Computer model validation with functional output
• Bayesian Calibration of Computer Models
• Bayesian Design and Analysis of Computer Experiments: Use of Derivatives in Surface Prediction
• Computer Model Calibration Using High-Dimensional Output
• Circuit Optimization via Sequential Computer Experiments: Design of an Output Buffer
• Bayesian Forecasting for Complex Systems Using Computer Simulators
• Wavelet-Based Nonparametric Modeling of Hierarchical Functions in Colon Carcinogenesis
• Probabilistic Formulations for Transferring Inferences from Mathematical Models to Physical Systems
• Statistical Assessment of Numerical Models*
• Predicting Vehicle Crashworthiness: Validation of Computer Models for Functional and Hierarchical Data

This page was built for publication: Computer model validation with functional output