Papers

The research behind the equadratures project spans numerous topics ranging from applied mathematics to Bayesian inference, and computational simulation techniques. We are particularly interested in high-dimensional approximation, stochastic inference, and numerical integration for complex multivariate distributions. Click any card to go to the publication or pre-print.

Prior-informed Uncertainty Modelling with Bayesian Polynomial Approximations

Prior-informed Uncertainty Modelling with Bayesian Polynomial Approximations

Polynomial ridge flowfield estimation

Polynomial ridge flowfield estimation

Extremum Sensitivity Analysis with Polynomial Monte Carlo Filtering

Extremum Sensitivity Analysis with Polynomial Monte Carlo Filtering

Embedded ridge approximations

Embedded ridge approximations

Blade Envelopes Part I: Concept and Methodology

Blade Envelopes Part I: Concept and Methodology

Blade Envelopes Part II: Multiple Objectives and Inverse Design

Blade Envelopes Part II: Multiple Objectives and Inverse Design

Effectively Subsampled Quadratures for Least Squares Polynomial Approximations

Effectively Subsampled Quadratures for Least Squares Polynomial Approximations