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openvino/docs/ops/activation/SoftMax_1.md
2021-07-15 09:17:23 +02:00

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## SoftMax <a name="SoftMax"></a> {#openvino_docs_ops_activation_SoftMax_1}
**Versioned name**: *SoftMax-1*
**Category**: *Activation function*
**Short description**: [Reference](https://github.com/Kulbear/deep-learning-nano-foundation/wiki/ReLU-and-Softmax-Activation-Functions#softmax)
**Detailed description**: [Reference](http://cs231n.github.io/linear-classify/#softmax)
**Attributes**
* *axis*
* **Description**: *axis* represents the axis of which the *SoftMax* is calculated. *axis* equal 1 is a default value.
* **Range of values**: positive integer value
* **Type**: int
* **Default value**: 1
* **Required**: *no*
**Mathematical Formulation**
\f[
y_{c} = \frac{e^{Z_{c}}}{\sum_{d=1}^{C}e^{Z_{d}}}
\f]
where \f$C\f$ is a size of tensor along *axis* dimension.
**Inputs**:
* **1**: Input tensor with enough number of dimension to be compatible with *axis* attribute. **Required.**
**Outputs**:
* **1**: The resulting tensor of the same shape and type as input tensor.
**Example**
```xml
<layer ... type="SoftMax" ... >
<data axis="1" />
<input> ... </input>
<output> ... </output>
</layer>
```