CODEWITHSUNDEEP
pythonnumpymachine-learning
Abed
Abed

Reputation: 13

How to implement this equation in numpy

I'm new to numpy, and trying to implement the following equation.

The equation has two parts, and should give a final value called Sigma.

the equation is taken from the paper as below image: image of the equation to provide the result of Sigma

I tried to implement it as below, but when running the code, the value c is giving nan

c = np.sqrt(np.log(2 / np.sqrt( 16 * delta + 1 ) -1 ))

sigma = (c + np.sqrt(np.square(c) + epsilon) ) * s / (epsilon * np.sqrt(2))

appreciate if you can advise on how to implement it in numpy

Upvotes: 0

Views: 217

Answers (2)

Pablo C
Pablo C

Reputation: 4761

You are missing a parenthesis. This is the correct formula:

c = np.sqrt(np.log(2/(np.sqrt(16*delta + 1) -1)))

Also, keep in mind that (as the paper states) this is defined only for eq1.

Upvotes: 0

Michael Chen
Michael Chen

Reputation: 703

You missed a bracket in your code

c = np.sqrt(np.log(2 / (np.sqrt( 16 * delta + 1 ) -1 )))

sigma = (c + np.sqrt(np.square(c) + epsilon) ) * s / (epsilon * np.sqrt(2))

To get a valid c value, you should input delta like 0 < delta < 0.5.

Upvotes: 1

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