Multiply

Versioned name: Multiply-1

Category: Arithmetic binary

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

\[o_{i} = a_{i} \cdot b_{i}\]

Attributes:

  • auto_broadcast

    • 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">
    <data auto_broadcast="none"/>
    <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>

Example 2: broadcast

<layer ... type="Multiply">
    <data auto_broadcast="numpy"/>
    <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>