utv_probe_derivatives_transpose
===============================

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

   .. code-block:: python

      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``.