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

Warning

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