sampling_derivatives
====================


.. py:module:: t3toolbox.backend.sampling_derivatives

.. autoapi-nested-parse::

   Jet machinery: symmetric directional derivatives of probe/apply/entries, all in one place.

   The ``*_derivatives`` ops strictly generalize the plain sampling ops with a leading order axis
   (order 0 == the plain op). The jets of the helper chain (``compute_*_jets``,
   ``binomial_combine_tensor``) are shared across the three sampling types, which is why the
   derivative layer is one module rather than three. Math: ``docs/symmetric_probe_derivatives.tex``;
   costs/usage: ``docs/entries_apply_probe.md``.



Functions
---------

.. toctree::
   :hidden:

   /autoapi/t3toolbox/backend/sampling_derivatives/t3_probe_derivatives
   /autoapi/t3toolbox/backend/sampling_derivatives/check_perturbation_vectors
   /autoapi/t3toolbox/backend/sampling_derivatives/check_perturbation_index
   /autoapi/t3toolbox/backend/sampling_derivatives/binomial_combine_tensor
   /autoapi/t3toolbox/backend/sampling_derivatives/build_input_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_mu_jets_trs
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_mu_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_nu_jets_trs
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_nu_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_eta_jets_trs
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_eta_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/assemble_z_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_precompute_apply_frame_sweep_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_precompute_entries_frame_sweep_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_precompute_probe_frame_sweep_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_sigma_jets_trs
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_tau_jets_trs
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_deta_jets_trs
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_deta_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_sigma_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_tau_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/assemble_tangent_z_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_probe_jacobian_derivatives_from_sweep
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_probe_derivatives
   /autoapi/t3toolbox/backend/sampling_derivatives/t3_apply_derivatives
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_apply_jacobian_derivatives_from_sweep
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_apply_derivatives
   /autoapi/t3toolbox/backend/sampling_derivatives/t3_entries_derivatives
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_entries_jacobian_derivatives_from_sweep
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_entries_derivatives
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_deta_tilde_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_tau_tilde_jets_trs
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_sigma_tilde_jets_trs
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_tau_tilde_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_sigma_tilde_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_dxi_tilde_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/assemble_tucker_variation_jets_trs
   /autoapi/t3toolbox/backend/sampling_derivatives/assemble_tucker_variation_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/assemble_tt_variation_jets_trs
   /autoapi/t3toolbox/backend/sampling_derivatives/assemble_tt_variation_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/estimate_chunk_size
   /autoapi/t3toolbox/backend/sampling_derivatives/max_chunk_size_within
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_probe_transpose_derivatives_from_sweep
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_probe_derivatives_transpose
   /autoapi/t3toolbox/backend/sampling_derivatives/compute_sigma_hat_jets
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_apply_transpose_derivatives_from_sweep
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_apply_derivatives_transpose
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_entries_transpose_derivatives_from_sweep
   /autoapi/t3toolbox/backend/sampling_derivatives/tv_entries_derivatives_transpose
   /autoapi/t3toolbox/backend/sampling_derivatives/t3_probe_corewise_derivatives_transpose
   /autoapi/t3toolbox/backend/sampling_derivatives/t3_apply_corewise_derivatives_transpose
   /autoapi/t3toolbox/backend/sampling_derivatives/t3_entries_corewise_derivatives_transpose
   /autoapi/t3toolbox/backend/sampling_derivatives/dense_probe_derivatives
   /autoapi/t3toolbox/backend/sampling_derivatives/dense_apply_derivatives
   /autoapi/t3toolbox/backend/sampling_derivatives/dense_entries_derivatives

.. autoapisummary::

   t3toolbox.backend.sampling_derivatives.t3_probe_derivatives
   t3toolbox.backend.sampling_derivatives.check_perturbation_vectors
   t3toolbox.backend.sampling_derivatives.check_perturbation_index
   t3toolbox.backend.sampling_derivatives.binomial_combine_tensor
   t3toolbox.backend.sampling_derivatives.build_input_jets
   t3toolbox.backend.sampling_derivatives.compute_mu_jets_trs
   t3toolbox.backend.sampling_derivatives.compute_mu_jets
   t3toolbox.backend.sampling_derivatives.compute_nu_jets_trs
   t3toolbox.backend.sampling_derivatives.compute_nu_jets
   t3toolbox.backend.sampling_derivatives.compute_eta_jets_trs
   t3toolbox.backend.sampling_derivatives.compute_eta_jets
   t3toolbox.backend.sampling_derivatives.assemble_z_jets
   t3toolbox.backend.sampling_derivatives.tv_precompute_apply_frame_sweep_jets
   t3toolbox.backend.sampling_derivatives.tv_precompute_entries_frame_sweep_jets
   t3toolbox.backend.sampling_derivatives.tv_precompute_probe_frame_sweep_jets
   t3toolbox.backend.sampling_derivatives.compute_sigma_jets_trs
   t3toolbox.backend.sampling_derivatives.compute_tau_jets_trs
   t3toolbox.backend.sampling_derivatives.compute_deta_jets_trs
   t3toolbox.backend.sampling_derivatives.compute_deta_jets
   t3toolbox.backend.sampling_derivatives.compute_sigma_jets
   t3toolbox.backend.sampling_derivatives.compute_tau_jets
   t3toolbox.backend.sampling_derivatives.assemble_tangent_z_jets
   t3toolbox.backend.sampling_derivatives.tv_probe_jacobian_derivatives_from_sweep
   t3toolbox.backend.sampling_derivatives.tv_probe_derivatives
   t3toolbox.backend.sampling_derivatives.t3_apply_derivatives
   t3toolbox.backend.sampling_derivatives.tv_apply_jacobian_derivatives_from_sweep
   t3toolbox.backend.sampling_derivatives.tv_apply_derivatives
   t3toolbox.backend.sampling_derivatives.t3_entries_derivatives
   t3toolbox.backend.sampling_derivatives.tv_entries_jacobian_derivatives_from_sweep
   t3toolbox.backend.sampling_derivatives.tv_entries_derivatives
   t3toolbox.backend.sampling_derivatives.compute_deta_tilde_jets
   t3toolbox.backend.sampling_derivatives.compute_tau_tilde_jets_trs
   t3toolbox.backend.sampling_derivatives.compute_sigma_tilde_jets_trs
   t3toolbox.backend.sampling_derivatives.compute_tau_tilde_jets
   t3toolbox.backend.sampling_derivatives.compute_sigma_tilde_jets
   t3toolbox.backend.sampling_derivatives.compute_dxi_tilde_jets
   t3toolbox.backend.sampling_derivatives.assemble_tucker_variation_jets_trs
   t3toolbox.backend.sampling_derivatives.assemble_tucker_variation_jets
   t3toolbox.backend.sampling_derivatives.assemble_tt_variation_jets_trs
   t3toolbox.backend.sampling_derivatives.assemble_tt_variation_jets
   t3toolbox.backend.sampling_derivatives.estimate_chunk_size
   t3toolbox.backend.sampling_derivatives.max_chunk_size_within
   t3toolbox.backend.sampling_derivatives.tv_probe_transpose_derivatives_from_sweep
   t3toolbox.backend.sampling_derivatives.tv_probe_derivatives_transpose
   t3toolbox.backend.sampling_derivatives.compute_sigma_hat_jets
   t3toolbox.backend.sampling_derivatives.tv_apply_transpose_derivatives_from_sweep
   t3toolbox.backend.sampling_derivatives.tv_apply_derivatives_transpose
   t3toolbox.backend.sampling_derivatives.tv_entries_transpose_derivatives_from_sweep
   t3toolbox.backend.sampling_derivatives.tv_entries_derivatives_transpose
   t3toolbox.backend.sampling_derivatives.t3_probe_corewise_derivatives_transpose
   t3toolbox.backend.sampling_derivatives.t3_apply_corewise_derivatives_transpose
   t3toolbox.backend.sampling_derivatives.t3_entries_corewise_derivatives_transpose
   t3toolbox.backend.sampling_derivatives.dense_probe_derivatives
   t3toolbox.backend.sampling_derivatives.dense_apply_derivatives
   t3toolbox.backend.sampling_derivatives.dense_entries_derivatives