ufv_tied_variations_residual#

t3toolbox.backend.sharing.ufv_tied_variations_residual(variations_data, shared_data, rcond=None)#
def ufv_tied_variations_residual(
        variations_data,    # UT3Variations .data: (tkv_sc, ttv_sc, shape, (4 masks)); stack = K + C
        shared_data:    'SharedFrameData',  # the frame's UNIFORM companion (ufv_shared_frame_data)
        rcond:          typ.Optional[float] = None,  # relative clip on the group spectrum; None -> dtype eps
) -> NDArray:  # shape = K + C; relative deviation per stack element (0 == already tied)

The uniform twin of fv_tied_variations_residual(), on the MASKED variation content.

Same single global Frobenius ratio with the K + C stack kept – masked first, because padding is don’t-care garbage and two tangents tied on their real content are tied whatever their padding holds. The core axes summed over are the supercore’s trailing (nDi, Ni); the leading d axis is summed as well, since the norm spans all d cores.

Parameters:

  • shared_data (SharedFrameData)

  • rcond (t3toolbox.backend.common.typ.Optional[float])

Return type:

NDArray