Differential Entropy of Gaussian

Problem

Return the differential entropy in bits of a Gaussian with variance var:

h = 0.5 * log2(2 * pi * e * var)

Assume var > 0.

Hint

Gaussians maximize differential entropy for a fixed variance.

case 1

in: [1]

expected: 2.047095585180641

case 2

in: [4]

expected: 3.047095585180641

case 3

in: [0.25]

expected: 1.047095585180641

case 4

in: [0.05854983152431917]

expected: 0

Starter codePython

import math
def de_gaussian(var):
    # Your code here
    pass

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