MediumCalculusca-339

Swish Second Derivative Vector

Problem

For swish(z) = z * sigmoid(z), the second derivative is 2 s (1 - s) + z s (1 - s) (1 - 2 s) with s = sigmoid(z).

Given the values z, return the second derivative list.

Hint

Differentiate f' = s + z s (1 - s) term by term.

case 1

in: [[0,1,-1]]

expected: [0.5,0.3023661188100153,0.3023661188100153]

case 2

in: [[2,-2]]

expected: [0.050062168694707004,0.05006216869470692]

case 3

in: [[0.5,3]]

expected: [0.4412290269770286,-0.03232140452100614]

Starter codePython

def swish_second_derivative(values):
    # Your code here
    pass

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