Differential Entropy of Laplace

Problem

Return the differential entropy in bits of a Laplace distribution with scale b:

h = log2(2 * e * b)

Assume b > 0.

Hint

The Laplace scale b relates to its variance by var = 2 * b^2.

case 1

in: [1]

expected: 2.4426950408889634

case 2

in: [0.5]

expected: 1.4426950408889634

case 3

in: [2]

expected: 3.4426950408889634

case 4

in: [0.25]

expected: 0.44269504088896333

Starter codePython

import math
def de_laplace(b):
    # Your code here
    pass

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