The ELU Function calculator computes the Exponential Linear Unit (ELU) value based on the input value and a hyperparameter.
INSTRUCTIONS: Enter the following:
- (x) A real number
- (α) Hyperparameter
ELU f(x): The calculator returns a real number
The Math / Science
`ELU(x)={[ x if x > 0],[alpha(e^x-1) if x <=0]}`
Where α is a hyperparameter (usually set to 1.0 by default) that controls the value to which ELUs saturate for negative net inputs.
Key Characteristics:
- Smooth: ELU is continuous and differentiable, helping with gradient-based optimization.
- Avoids dead neurons: Unlike ReLU, ELU can output negative values, reducing the risk of neurons becoming inactive.
- Faster convergence: It can help neural networks learn faster and perform better by pushing mean activations closer to zero.
Artificial Intelligence and Machine Learning Calculators