ut3_weighted_inner
==================

.. py:function:: t3toolbox.uniform_tucker_tensor_train.ut3_weighted_inner(x_A, weights_A, x_B, weights_B, use_orthogonalization = True)

   .. code-block:: python

      def ut3_weighted_inner(
              x_A:       'UniformTuckerTensorTrain',
              weights_A: UT3Weights,
              x_B:       'UniformTuckerTensorTrain',
              weights_B: UT3Weights,
              use_orthogonalization: bool = True,
      ) -> NDArray:  # weighted HS inner product, shape=stack_shape


   Weighted Hilbert-Schmidt inner product
   ``<absorb_weights(x_A, weights_A), absorb_weights(x_B, weights_B)>``. Operands share physical shape;
   ranks/masks/weights may differ. Uniform twin of
   :py:func:`t3toolbox.tucker_tensor_train.t3_weighted_inner`.