Below we provide some introductory tutorials to give you an idea of what Effective Quadratures can do. The tutorials are organized by complexity, so if you are new to the notion of learning through polynomials, consider starting from the first tutorial.
Note: We are currently updating the tutorials. We apologise in advance for any inconvenience this may cause.
Foundations I: Parameter
Foundations II: Orthogonal polynomials
Foundations III: Solving linear systems for model fitting
Persistence of equadratures objects
Uncertainty quantification of CFD simulations
Sensitivity analysis for a piston model
A primer on data-driven dimension reduction
Data-driven dimension reduction in turbomachinery
Adjoint/gradient-enhanced surrogate modelling
Surrogate-based design optimisation on Rosenbrock’s function
Uncertainty quantification with correlations for a borehole model
Time-series remaining useful life prediction with spatio-temporal polynomials
Flow-field estimation using vector-valued polynomial ridge approximations
Multi-fidelity Bayesian polynomials on turbine cascade experiments