tv_entries_jacobian_derivatives_from_sweep#

t3toolbox.backend.sampling_derivatives.tv_entries_jacobian_derivatives_from_sweep(variation, index, pp, frame, sweep, order)#
def tv_entries_jacobian_derivatives_from_sweep(
        variation:  typ.Tuple[
            typ.Sequence[NDArray],          # var_tucker_cores dU. len=d, elm_shape=K+C+(nOi,Ni)
            typ.Sequence[NDArray],          # var_tt_cores     dG. len=d, elm_shape=K+C+(rLi,nUi,rRi)
        ],                                  # = T3Variations.data
        index:      NDArray,                # int, shape=(d,)+W -- the grid points
        pp:         typ.Sequence[NDArray],  # perturbation vectors P, len=d, elm_shape=W+(Ni,)
        frame:       typ.Tuple[
            typ.Sequence[NDArray], typ.Sequence[NDArray],
            typ.Sequence[NDArray], typ.Sequence[NDArray],
        ],                                  # = T3Frame.data = (U, O, P, Q)
        sweep:      typ.Tuple[
            typ.Sequence[NDArray],          # xi_jets
            typ.Sequence[NDArray],          # mu_jets
        ],                                  # = tv_precompute_entries_frame_sweep_jets(frame, index, pp, order)
        order:      int,                    # highest derivative order
) -> NDArray:                               # entries-derivative jets, shape=(order+1,)+W+K+C

Variation half of tv_entries_derivatives() from a precomputed frame sweep: the entries analog of tv_apply_jacobian_derivatives_from_sweep() (variation up-index jet from fiber-slicing at index + P), reusing the frame (xi, mu)_jets.

Parameters:

  • variation (t3toolbox.backend.common.typ.Tuple[t3toolbox.backend.common.typ.Sequence[NDArray], t3toolbox.backend.common.typ.Sequence[NDArray]])

  • index (NDArray)

  • pp (t3toolbox.backend.common.typ.Sequence[NDArray])

  • frame (t3toolbox.backend.common.typ.Tuple[t3toolbox.backend.common.typ.Sequence[NDArray], t3toolbox.backend.common.typ.Sequence[NDArray], t3toolbox.backend.common.typ.Sequence[NDArray], t3toolbox.backend.common.typ.Sequence[NDArray]])

  • sweep (t3toolbox.backend.common.typ.Tuple[t3toolbox.backend.common.typ.Sequence[NDArray], t3toolbox.backend.common.typ.Sequence[NDArray]])

  • order (int)

Return type:

NDArray