Softsign

Description

The Softsign class smooths input values into the range (-1) to (1) with asymptotic behavior, providing a continuous, differentiable transformation useful for activation functions.

Equation:

\[ f(x) = \frac{x}{1 + |x|} \]

Parameters: Softsign takes no parameters.

NaN handling: NaN values are not modified by this function.

Usage Example and Plot

import numpy as np
import plotly.graph_objects as go
from screamer import Softsign

# Generate example data
data = np.linspace(-5, 5, 100)
softsign_data = Softsign()(data)

fig = go.Figure()
fig.add_trace(go.Scatter(y=data, mode='lines', name='Original Data'))
fig.add_trace(go.Scatter(y=softsign_data, mode='lines', name='Softsign Output', line=dict(color='brown')))

fig.update_layout(
    title="Softsign Transformation",
    yaxis_title="Output",
    xaxis_title="Input",
    margin=dict(l=20, r=20, t=40, b=20)
)

fig.show()