The Softplus Activation Function

Neural Units & Activations DS practice problem on Onlearn.

Difficulty: easy.

Topics: Understanding Implement the Softplus Activation Function, Softplus Function, Numerical Stability, Log-Sum-Exp Trick, Derivative of Activation, Overflow Prevention, Deep Learning Foundations, Numerical Analysis, Calculus, Optimization Theory, Programming Paradigms, Neural Units and Activations, Floating Point Arithmetic, Differential Calculus, Gradient-Based Learning, Software Engineering Best Practices.

Implement the Softplus activation function, a smooth approximation of the ReLU function. Your task is to compute the Softplus value for a given input, handling edge cases to prevent numerical overflow or underflow.