Parallel Tempering Swap Accept

Problem

Decide whether to swap two replicas in parallel tempering.

With log_ratio = (beta1 - beta2) * (e2 - e1), accept immediately when log_ratio >= 0; otherwise accept with probability exp(log_ratio) after random.seed(seed) followed by random.random(). Return a boolean.

Hint

The swap is a Metropolis test on the combined energy difference.

Test cases

case 1

in: [1,0.5,0.5,2,0]

expected: true

case 2

in: [0.5,2,1,0.5,0]

expected: true

case 3

in: [2,1,0.5,-1,7]

expected: false

case 4

in: [1,1,1,1,3]

expected: true

Starter codePython

def parallel_tempering_swap(beta1, e1, beta2, e2, seed):
    # Your code here
    pass

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