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# BNNS.ActivationFunction.leakyRectifiedLinear(alpha:)

An activation function that returns its input when that is greater than or equal to zero, otherwise it returns its input multiplied by a specified value.

```
case leakyRectifiedLinear(alpha: Float)
```

## Discussion

This constant defines an activation function that returns values using the following operation:

```c
alpha*x if x<0, and x if x>=0
```

Use `alpha` to specify the multiplier for values less than zero range:

```swift
var activation = BNNSActivation(function: .leakyRectifiedLinear, 
                                alpha: 0.25)
```

The following illustrates the output that the activation function generates from inputs in the range `-10...10`:

![Graph that shows input values for the activation function on horizontal axis and its output values on vertical axis. ](images/com.apple.accelerate/media-3654660@2x.png)

---

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