uniform_corewise_ops

t3toolbox.backend.uniform_fitting.uniform_corewise_ops(x0_data)

def uniform_corewise_ops(
        x0_data:  typ.Tuple,   # UniformTuckerTensorTrain.data = (tk_sc, tt_sc, shape, (tucker_mask, tt_mask))
) -> bopt.GeometryOps:         # the uniform corewise geometry ops (masks of x0's fixed rank closed over)

The uniform corewise GeometryOps at x0’s fixed rank – the raw-supercore twin of t3toolbox.uniform_manifold.UNIFORM_COREWISE.

frame = the (U, G, G, G) non-orthonormal frame (Section 6.3 (P, Q, O) -> G); project = the identity (no gauge on the core space); retract = the additive retraction (cores += var); inner = the masked coordinate dot (the Euclidean metric here). Masks are loop-invariant and closed over.

Parameters:

x0_data (t3toolbox.backend.common.typ.Tuple)

Return type:

GeometryOps