datafold 1.1.3

A package providing manifold parametrization in the Diffusion Maps framework and identification of dynamical systems in the Koopman operator view with the Extended Dynamic Mode Decomposition.

The package provides:

• (Extended-) Dynamic Mode Decomposition (EDMD) to approximate the Koopman operator for system identification.

• Diffusion Maps to find meaningful geometric descriptions in point clouds, such as the eigenfunctions of the Laplace-Beltrami operator.

• Data structure for time series collections (TSCDataFrame) and dedicated transformations, such as time-delay embeddings (TSCTakensEmbedding). The data structures operate with both EDMD and DMAP.