t3toolbox.manifold

Functions

manifold_dim(→ int)	Get the dimension of the fixed rank T3 manifold with a given structure.
tangent_to_dense(→ NDArray)	Convert Tangent vector to Tucker tensor train manifold into dense tensor.
tangent_to_t3(...)	Rank 2r Tucker tensor train representation of tangent vector.
tangent_zeros(...)	Construct the zero vector in a Tucker tensor train tangent space.
absorb_weights_into_tangent_cores(, use_jax, ...)	Contract edge weights with neighboring cores in base-variation representation.
tangent_randn(, apply_gauge_projection, randn, ...)	Draw a random T3Variation.
orthogonal_gauge_projection(...)	Makes tangent variation gauged via orthogonal projection. Changes tangent vector.
oblique_gauge_projection(...)	Makes variations left-perpendicular while preserving tangent vector.
project_t3_onto_tangent_space(...)	Projects TuckerTensorTrain onto tangent space to the manifold of fixed rank TuckerTensorTrains.
retract(→ t3toolbox.tucker_tensor_train.TuckerTensorTrain)	Retract Tucker tensor train tangent vector to manifold.