ut3_probe_derivatives

t3toolbox.backend.ut3_sampling.ut3_probe_derivatives(ww, pp, data, order)

def ut3_probe_derivatives(
        ww:    typ.Sequence[NDArray],  # probe vectors X,        len=d, ith elm_shape=W+(Ni,)
        pp:    typ.Sequence[NDArray],  # perturbation vectors P, len=d, ith elm_shape=W+(Ni,)
        data:  UT3Data,
        order: int,                    # highest derivative order
) -> typ.Union[typ.Tuple[NDArray, ...], NDArray]:  # MIRRORS ww: ragged -> len=d tuple; packed -> (d,)+(order+1,)+W+(N,)

Symmetric probe derivatives of a uniform Tucker tensor train (shares sampling_derivatives.t3_probe_derivatives). Mirrors ww’s packedness (ragged -> len=d tuple of real widths; packed -> the packed (d,)+(order+1,)+W+(N,) array).

Parameters:

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

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

• data (UT3Data)

• order (int)

Return type:

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