BasisTemplate

class BasisTemplate(name: str = None)

Template class for bases.

Classes that inherit from this template must implement the methods fit(), compress(), and decompress().

See PODBasis for an example.

Properties:

full_state_dimension

Dimension \(n\) of the full state.

name

Label for the state variable that this basis approximates.

reduced_state_dimension

Dimension \(r\) of the reduced (compressed) state.

shape

Dimensions \((n, r)\) of the basis.

Methods:

compress	Map high-dimensional states to low-dimensional latent coordinates.
copy	Make a copy of the basis.
decompress	Map low-dimensional latent coordinates to high-dimensional states.
fit	Construct the basis.
fit_compress	Construct the basis and map high-dimensional states to low-dimensional latent coordinates.
load	Load a transformer from an HDF5 file.
project	Project a high-dimensional state vector to the subset of the high-dimensional space that can be represented by the basis.
projection_error	Compute the error of the basis representation of a state or states.
save	Save the transformer to an HDF5 file.
verify	Verify that compress() and decompress() are consistent in the sense that the range of decompress() is in the domain of compress() and that project() defines a projection operator, i.e., project(project(Q)) = project(Q).