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optimizationmathematical-optimization

Evaluation in continuous optimization problems

I'm trying to understand continuous optimization algorithms applied on some test functions.

Here are the results obtaind by some algorithms used for this issue on some of test functions :

enter image description here

I didn't understand the difference between the two underlined phrases. would you please help me in this?

P.S. sometimes they use the term (median number) instead of (mean number ) what's the difference between the two??

Solution

  • This question lacks some context. It would have been better to link to th text too to get a grasp of what is going on.

    But i read it as this (and i think that's how someone with some experience in optimization-algorithms would read it; you have to check it though with your knowledge of the context):

    • The bold 1.0s are the normalized number of function-evaluations on different functions to optimize (each row is a different function)
      • The values in the brackets are unnormalized numbers explaining the same
    • When ACO used 820 evaluations (unnormalized), normalized to 1.0, CACO used 8.3 * 820 evaluations

    The mean and median are two different measures of central tendency. Check wikipedia out to understand the differences.