.. minimum.rst: ####### Minimum ####### .. code-block:: cpp Minimum // Short description. Description =========== Produces tensor of the same element type and shape as the two inputs, where the value at each coordinate of ``output`` is the minimum of the values at the corresponding input coordinates. 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}} = \min(\mathtt{arg0}_{i_0, \ldots, i_{n-1}}, \mathtt{arg1}_{i_0, \ldots, i_{n-1}}) Backprop ======== .. math:: \overline{\mathtt{arg0}} &\leftarrow \mathtt{Less}(\mathtt{arg0}, \mathtt{arg1})\ \Delta \\ \overline{\mathtt{arg1}} &\leftarrow \mathtt{Less}(\mathtt{arg1}, \mathtt{arg0})\ \Delta C++ Interface ============= .. doxygenclass:: ngraph::op::Minimum :project: ngraph :members: