utv_probe_derivatives_transpose

t3toolbox.backend.utv_sampling.utv_probe_derivatives_transpose(ztildes, ww, pp, frame_data, order, sum_over_probes=False, chunk_size=100)

def utv_probe_derivatives_transpose(
        ztildes,          # probe residual jets, len=d, ith elm_shape=(order+1,)+W+K+C+(Ni,)
        ww,               # probe vectors,   len=d, ith elm_shape=W+(Ni,)
        pp,               # perturbation P,  len=d, ith elm_shape=W+(Ni,)
        frame_data,       # UT3Frame .data (an orthogonal frame), supercore stack = C
        order,            # highest derivative order
        sum_over_probes=False,
        chunk_size=100,   # W-chunk size for the gradient assembly; None -> dense. docs/chunking.md
):  # -> UT3Variations .data: (dU_tilde, dG_tilde, shape, masks); stack K_new + C

Apply the transpose 𝒥ᵀ of the probe-derivative map to residual jets (the bare adjoint). Mask-once, pack the residual jets + ww + pp, share sampling_derivatives.tv_probe_derivatives_transpose, attach the gauge masks over the new tangent stack K_new.