Gaussian Differential Entropy

Problem

The differential entropy of a Gaussian with standard deviation sigma is 0.5 * ln(2 * pi * e * sigma^2). Return 0.0 when sigma <= 0.

Hint

Plug the variance into the closed-form Gaussian entropy.

case 1

in: [1]

expected: 1.4189385332046727

case 2

in: [2]

expected: 2.112085713764618

case 3

in: [0.5]

expected: 0.7257913526447274

case 4

in: [3]

expected: 2.5175508218727822

case 5

in: [0]

expected: 0

Starter codePython

import math


def gaussian_differential_entropy(sigma):
    # Your code here
    pass

5 test cases · run your code against them in the editor