tv_probe_jacobian_from_sweep#

t3toolbox.backend.probing.tv_probe_jacobian_from_sweep(variation, ww, frame, frame_sweep)#

def tv_probe_jacobian_from_sweep(
        variation:  typ.Tuple[
            typ.Sequence[NDArray],          # var_tucker_cores. len=d, elm_shape=K+C+(nOi,Ni)
            typ.Sequence[NDArray],          # var_tt_cores.     len=d, elm_shape=K+C+(rLi,nUi,rRi)
        ],
        ww:         typ.Sequence[NDArray],  # probe vectors, len=d, elm_shape=W+(Ni,) -- for the variation's dxis
        frame:       typ.Tuple[
            typ.Sequence[NDArray], typ.Sequence[NDArray],
            typ.Sequence[NDArray], typ.Sequence[NDArray],
        ],                                  # = T3Frame.data = (U, O, P, Q)
        frame_sweep: typ.Tuple[
            typ.Sequence[NDArray], typ.Sequence[NDArray],
            typ.Sequence[NDArray], typ.Sequence[NDArray],
        ],                                  # = tv_precompute_probe_frame_sweep(frame, ww)
) -> typ.Sequence[NDArray]:                 # probes, len=d, elm_shape=W+K+C+(Ni,) (one free mode each)

Forward probe of a tangent vector reusing a precomputed frame sweep – the bare 𝒥 (probe) with the frame edge variables injected. Equivalent to tv_probe(), but takes (xis, mus, nus, etas) from frame_sweep instead of recomputing them; only the perturbation sweep (dxis/sigmas/taus/detas) is computed here. Apply and probe share the frame sweep (tv_precompute_probe_frame_sweep()). No gauge projector Π.