.. index:: pair: page; LeakyReLU
.. _doxid-dev_guide_op_leakyrelu:

LeakyReLU
=========

General
~~~~~~~

LeakyReLU operation is a type of activation function based on ReLU. It has a small slope for negative values with which LeakyReLU can produce small, non-zero, and constant gradients with respect to the negative values. The slope is also called the coefficient of leakage.

Unlike :ref:`PReLU <doxid-dev_guide_op_prelu>`, the coefficient :math:`\alpha` is constant and defined before training.

LeakyReLU operation applies following formula on every element of :math:`\src` tensor (the variable names follow the standard :ref:`Naming Conventions <doxid-dev_guide_conventions>`):

.. math::

	dst = \begin{cases} src & \text{if}\ src \ge 0 \\ \alpha src & \text{if}\ src < 0 \end{cases}

Operation attributes
~~~~~~~~~~~~~~~~~~~~

==================================================================================================================  =====================================  ===========  ========================================================  =====================  
Attribute Name                                                                                                      Description                            Value Type   Supported Values                                          Required or Optional   
==================================================================================================================  =====================================  ===========  ========================================================  =====================  
:ref:`alpha <doxid-classdnnl_1_1graph_1_1op_1ac7650c0c15849338f9c558f53ce82684a2c1743a391305fbf367df8e4f069f9f9>`   Alpha is the coefficient of leakage.   f32          Arbitrary f32 value but usually a small positive value.   Required               
==================================================================================================================  =====================================  ===========  ========================================================  =====================

Execution arguments
~~~~~~~~~~~~~~~~~~~

The inputs and outputs must be provided according to below index order when constructing an operation.

Inputs
------

======  ==============  =====================  
Index   Argument Name   Required or Optional   
======  ==============  =====================  
0       ``src``         Required               
======  ==============  =====================

Outputs
-------

======  ==============  =====================  
Index   Argument Name   Required or Optional   
======  ==============  =====================  
0       ``dst``         Required               
======  ==============  =====================

Supported data types
~~~~~~~~~~~~~~~~~~~~

LeakyReLU operation supports the following data type combinations.

=====  =====  
Src    Dst    
=====  =====  
f32    f32    
bf16   bf16   
f16    f16    
=====  =====

Implementation Notes
~~~~~~~~~~~~~~~~~~~~

LeakyReLU supports in-place operations, meaning that ``src`` can be used as both input and output (``dst``). In case of in-place operation, the original ``src`` data will be overwritten. Use in-place operations whenever possible for performance.

