Heteroscedastic Gaussian process regression for material structure-property relationship modeling

DOI10.1016/j.cma.2024.117326MaRDI QIDQ6609835

Audrey Olivier, Ozge Ozbayram, L. L. Graham-Brady

Publication date: 24 September 2024

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

heteroscedasticityuncertainty quantificationGaussian process regressionmaterials modeling

Mathematics Subject Classification ID

Bayesian inference (62F15) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Cites Work

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• Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC
• Practical Heteroscedastic Gaussian Process Modeling for Large Simulation Experiments
• Using stacking to average Bayesian predictive distributions (with discussion)
• Statistical characterization of meso-scale uniaxial compressive strength in brittle materials with randomly occurring flaws
• Uncertainty quantification in multiscale simulation of woven fiber composites
• Reduced order modeling for nonlinear structural analysis using Gaussian process regression
• Aleatoric and epistemic uncertainty in machine learning: an introduction to concepts and methods
• Bayesian neural networks for uncertainty quantification in data-driven materials modeling
• Latent map Gaussian processes for mixed variable metamodeling
• Stochastic modeling and identification of material parameters on structures produced by additive manufacturing
• Automated learning of interpretable models with quantified uncertainty
• Multi-fidelity cost-aware Bayesian optimization
• Kernels for Vector-Valued Functions: A Review
• Approximate leave-future-out cross-validation for Bayesian time series models
• Strictly Proper Scoring Rules, Prediction, and Estimation
• Concurrent multiscale simulations of nonlinear random materials using probabilistic learning
• Replication or Exploration? Sequential Design for Stochastic Simulation Experiments

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