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Newb needs best Machine Learning approach for Number Sequence

I have a sequence of 20 numbers, 1 – 20 and all numbers must be put in to sequence once. I have a formula which generates a score for each sequence input. What would be the best Machine Learning approach to find the sequence with the lowest score. It is very noisy and has many minimums.

Thanks for your help.

James

submitted by /u/JackFeet
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