Polynomial Chaos Expansion Examples

Friedman function (5 random inputs, scalar output)

Friedman function (5 random inputs, scalar output)

Exponential function (3 random inputs, scalar output)

Exponential function (3 random inputs, scalar output)

2D Helmholtz eigenvalues (2 random inputs, vector-valued output)

2D Helmholtz eigenvalues (2 random inputs, vector-valued output)

Ishigami function (3 random inputs, scalar output)

Ishigami function (3 random inputs, scalar output)

Robot Arm function (8 random inputs, scalar output)

Robot Arm function (8 random inputs, scalar output)

Oakley Function (1 random input, scalar output)

Oakley Function (1 random input, scalar output)

Sinusoidal Function (1 random input, scalar output)

Sinusoidal Function (1 random input, scalar output)

Sinusoidal Function Sphere function (2 random inputs, scalar output)

Sinusoidal Function Sphere function (2 random inputs, scalar output)

Camel function (3 random inputs, scalar output)

Camel function (3 random inputs, scalar output)

Hyperbolic truncation and Least Angle Regression

Hyperbolic truncation and Least Angle Regression

Physics-Informed PCE: Uncertainty Quantification of Euler Beam

Physics-Informed PCE: Uncertainty Quantification of Euler Beam

Physics-Informed PCE: Deterministic Wave Equation

Physics-Informed PCE: Deterministic Wave Equation