# Multiply¶

Versioned name : Multiply-1

Category : Arithmetic binary operation

Short description : Multiply performs element-wise multiplication operation with two given tensors applying broadcasting rule specified in the auto_broacast attribute.

Detailed description Before performing arithmetic operation, input tensors a and b are broadcasted if their shapes are different and auto_broadcast attribute is not none. Broadcasting is performed according to auto_broadcast value. After broadcasting Multiply performs multiplication operation for the input tensors a and b using the formula below:

$o_{i} = a_{i} * b_{i}$

Attributes :

• Description : specifies rules used for auto-broadcasting of input tensors.

• Range of values :

• Type : string

• Default value : “numpy”

• Required : no

Inputs

• 1 : A tensor of type T and arbitrary shape and rank. Required.

• 2 : A tensor of type T and arbitrary shape and rank. Required.

Outputs

• 1 : The result of element-wise multiplication operation. A tensor of type T with shape equal to broadcasted shape of the two inputs.

Types

• T : any numeric type.

Examples

Example 1

<layer ... type="Multiply">
<input>
<port id="0">
<dim>256</dim>
<dim>56</dim>
</port>
<port id="1">
<dim>256</dim>
<dim>56</dim>
</port>
</input>
<output>
<port id="2">
<dim>256</dim>
<dim>56</dim>
</port>
</output>
</layer>

<layer ... type="Multiply">
<input>
<port id="0">
<dim>8</dim>
<dim>1</dim>
<dim>6</dim>
<dim>1</dim>
</port>
<port id="1">
<dim>7</dim>
<dim>1</dim>
<dim>5</dim>
</port>
</input>
<output>
<port id="2">
<dim>8</dim>
<dim>7</dim>
<dim>6</dim>
<dim>5</dim>
</port>
</output>
</layer>