# Minimum

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.

Name

Element Type

Shape

arg0

any

any

arg1

same as arg0

same as arg0

Name

Element Type

Shape

output

same as arg0

same as arg0

## Mathematical Definition¶

$\mathtt{output}_{i_0, \ldots, i_{n-1}} = \min(\mathtt{arg0}_{i_0, \ldots, i_{n-1}}, \mathtt{arg1}_{i_0, \ldots, i_{n-1}})$

## Backprop¶

$\begin{split}\overline{\mathtt{arg0}} &\leftarrow \mathtt{Less}(\mathtt{arg0}, \mathtt{arg1})\ \Delta \\ \overline{\mathtt{arg1}} &\leftarrow \mathtt{Less}(\mathtt{arg1}, \mathtt{arg0})\ \Delta\end{split}$

## C++ Interface¶

class Minimum : public ngraph::op::util::BinaryElementwiseArithmetic

Elementwise minimum operation.

Public Functions

const std::string &description() const

Get the string name for the type of the node, such as Add or Multiply. The class name, must not contain spaces as it is used for codegen.

Return

A const reference to the node’s type name

Minimum()

Constructs a minimum operation.