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stat.ME2019
Approximate Bayesian Model Inversion for PDEs with Heterogeneous and State-Dependent Coefficients
David A. Barajas-Solano, Alexandre M. Tartakovsky
We present two approximate Bayesian inference methods for parameter estimation in partial differential equation (PDE) models with space-dependent and state-dependent parameters. We…
stat.ME2018
Multivariate Gaussian Process Regression for Multiscale Data Assimilation and Uncertainty Reduction
David A. Barajas-Solano, Alexandre M. Tartakovsky
We present a multivariate Gaussian process regression approach for parameter field reconstruction based on the field's measurements collected at two different scales, the coarse an…