4 papers
Adaptive sampling-based quadrature rules for efficient Bayesian prediction
L. M. M. van den Bos, B. Sanderse, W. A. A. M. Bierbooms
A novel method is proposed to infer Bayesian predictions of computationally expensive models. The method is based on the construction of quadrature rules, which are well-suited for…
A geometric approach for the addition of nodes to an interpolatory quadrature rule with positive weights
L. M. M. van den Bos, B. Sanderse
A novel mathematical framework is derived for the addition of nodes to univariate and interpolatory quadrature rules. The framework is based on the geometrical interpretation of th…
Generating nested quadrature rules with positive weights based on arbitrary sample sets
L. M. M. van den Bos, B. Sanderse, W. A. A. M. Bierbooms +1
For the purpose of uncertainty propagation a new quadrature rule technique is proposed that has positive weights, has high degree, and is constructed using only samples that descri…
Bayesian model calibration with interpolating polynomials based on adaptively weighted Leja nodes
L. M. M. van den Bos, B. Sanderse, W. A. A. M. Bierbooms +1
An efficient algorithm is proposed for Bayesian model calibration, which is commonly used to estimate the model parameters of non-linear, computationally expensive models using mea…