BIC Code Length

Problem

Express the BIC score of a model as a code length in bits. Given the natural-log likelihood LL, n samples and k parameters:

len = (k * ln(n) - 2 * LL) / (2 * ln 2)

Assume n > 0.

Hint

Dividing the BIC by 2 ln 2 converts the score into bits.

case 1

in: [0,8,2]

expected: 3

case 2

in: [-10,16,1]

expected: 16.426950408889635

case 3

in: [-5,4,2]

expected: 9.213475204444817

case 4

in: [-2,100,3]

expected: 12.851174366440015

Starter codePython

import math
def bic_code_length(log_likelihood, n_samples, n_params):
    # Your code here
    pass

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