Softmax function (numerically stable)

Computes softmax(x)_i = exp(x_i) / sum(exp(x)) in a numerically stable way.

Usage

softmax(x)

Arguments

x

A value object or numeric vector

Value

A value object (or numeric) with softmax probabilities

Details

Uses the identity softmax(x) = softmax(x - max(x)) to prevent overflow.