tv_entries_transpose_derivatives_from_sweep

t3toolbox.backend.sampling_derivatives.tv_entries_transpose_derivatives_from_sweep(c, index, pp, frame, sweep, order, sum_over_probes=False)

def tv_entries_transpose_derivatives_from_sweep(
        c:          NDArray,                # residual jet (scalar), shape=(order+1)+W+K+C
        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
        sum_over_probes: bool = False,      # True: sum the sample stack W (the J^T r back-projection)
) -> typ.Tuple[
    typ.Tuple[NDArray, ...],  # dU_tildes
    typ.Tuple[NDArray, ...],  # dG_tildes
]:                                          # = T3Variations.data

Variation gradient of tv_entries_derivatives_transpose() from a precomputed frame sweep: the entries analog of tv_apply_transpose_derivatives_from_sweep() (ambient w_jets from the one-hot e_{index} + P), reusing the frame (xi, mu)_jets.

Parameters:

• c (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)

• sum_over_probes (bool)

Return type:

t3toolbox.backend.common.typ.Tuple[t3toolbox.backend.common.typ.Tuple[NDArray, Ellipsis], t3toolbox.backend.common.typ.Tuple[NDArray, Ellipsis]]