pinnx.fnspace module

This module provides function spaces for operator learning and uncertainty quantification. Function spaces represent infinite-dimensional spaces of functions, useful for generating training data and input functions.

Function Spaces

wasserstein2: Computes the 2-Wasserstein distance between distributions.

FunctionSpace: Base class for function spaces.

PowerSeries: Function space of power series expansions.

Chebyshev: Chebyshev polynomial function space.

GRF: Gaussian Random Field for 1D functions.

GRF_KL: Gaussian Random Field with Karhunen-Loève expansion.

GRF2D: Gaussian Random Field for 2D functions.

wasserstein2	Compute 2-Wasserstein (W2) metric to measure the distance between two GRF.
FunctionSpace	Function space base class.
PowerSeries	Power series.
Chebyshev	Chebyshev polynomial.
GRF	Gaussian random field (Gaussian process) in 1D.
GRF_KL	Gaussian random field (Gaussian process) in 1D.
GRF2D	Gaussian random field in [0, 1]x[0, 1].