Cumulative Alpha Bar

Problem

Compute the cumulative product of (1 - beta_t) over the noise schedule: alpha_bar_t = prod_{i<=t} (1 - beta_i).

The signature is cumulative_alpha_bar(betas). Return the list of cumulative values.

Hint

alpha_bar measures how much of the original signal survives after t steps.

case 1

in: [[0.1,0.1,0.1]]

expected: [0.9,0.81,0.729]

case 2

in: [[0,0.5]]

expected: [1,0.5]

case 3

in: [[1]]

expected: [0]

case 4

in: [[0.2,0.1,0.4,0]]

expected: [0.8,0.72,0.432,0.432]

Starter codePython

def cumulative_alpha_bar(betas):
    # Your code here
    pass

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