t3_weighted_inner
=================

.. py:function:: t3toolbox.tucker_tensor_train.t3_weighted_inner(x_A, weights_A, x_B, weights_B)

   .. code-block:: python

      def t3_weighted_inner(
              x_A:       'TuckerTensorTrain',
              weights_A: T3Weights,
              x_B:       'TuckerTensorTrain',
              weights_B: T3Weights,
      ) -> NDArray:  # weighted HS inner product, shape=stack_shape


   Weighted Hilbert-Schmidt inner product of two weighted Tucker tensor trains
   ``<absorb_weights(x_A, weights_A), absorb_weights(x_B, weights_B)>``. Operands share physical shape;
   ranks/weights may differ.