.. power.rst: ##### Power ##### .. code-block:: cpp Power // Elementwise exponentiation operation Description =========== Elementwise exponentiation operation. Inputs ------ +-----------------+-------------------------+--------------------------------+ | Name | Element Type | Shape | +=================+=========================+================================+ | ``arg0`` | any | any | +-----------------+-------------------------+--------------------------------+ | ``arg1`` | same as ``arg0`` | same as ``arg0`` | +-----------------+-------------------------+--------------------------------+ Outputs ------- +-----------------+-------------------------+--------------------------------+ | Name | Element Type | Shape | +=================+=========================+================================+ | ``output`` | same as ``arg0`` | same as ``arg0`` | +-----------------+-------------------------+--------------------------------+ Mathematical Definition ======================= .. math:: \mathtt{output}_{i_0, \ldots, i_{n-1}} = \mathtt{arg0}_{i_0, \ldots, i_{n-1}} ^ {\mathtt{arg1}_{i_0, \ldots, i_{n-1}}} Backprop ======== .. math:: \overline{\mathtt{arg0}} &\leftarrow \frac{\Delta \cdot \mathtt{arg1}}{\mathtt{arg0}} \\ \overline{\mathtt{arg1}} &\leftarrow \Delta \cdot \mathtt{output} \cdot \log(\mathtt{arg1}) C++ Interface ============= .. doxygenclass:: ngraph::op::v0::Power :project: ngraph :members: