Power

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

\[\mathtt{output}_{i_0, \ldots, i_{n-1}} = \mathtt{arg0}_{i_0, \ldots, i_{n-1}} ^ {\mathtt{arg1}_{i_0, \ldots, i_{n-1}}}\]

Backprop

\[\begin{split}\overline{\mathtt{arg0}} &\leftarrow \frac{\Delta \cdot \mathtt{arg1}}{\mathtt{arg0}} \\ \overline{\mathtt{arg1}} &\leftarrow \Delta \cdot \mathtt{output} \cdot \log(\mathtt{arg1})\end{split}\]

C++ Interface

class Power : public ngraph::op::util::BinaryElementwiseArithmetic

Elementwise exponentiation operation.

Inputs

Public Functions

Power(const std::shared_ptr<Node> &arg0, const std::shared_ptr<Node> &arg1, const AutoBroadcastSpec &autob = AutoBroadcastSpec())

Constructs an exponentiation operation.

Parameters
  • arg0: Node that produces the first input tensor.
  • arg1: Node that produces the second input tensor.
  • autob: Auto broadcast specification