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Greg Robel 06-05-2013 04:19 PM

Clarification on the Radial Basis Function Problems
 
Would someone please clarify for me the first guideline?

"Repeat the experiment for as many runs as needed to get the answer to be stable (statistically away from flipping to the nearest competing answer)."

Thanks!

yaser 06-05-2013 05:12 PM

Re: Clarification on the Radial Basis Function Problems
 
Quote:

Originally Posted by Greg Robel (Post 11030)
Would someone please clarify for me the first guideline?

"Repeat the experiment for as many runs as needed to get the answer to be stable (statistically away from flipping to the nearest competing answer)."

Thanks!

Hi,

Due to the built-in randomness, you will get different values in different runs. If we express the value in each run as a mean plus noise, where the noise fluctuates around zero with \sigma^2 variance, we need to estimate the mean reliably since this is the value we are after. We can do that by repeating the experiment for many (independent) runs and averaging. Now, because the question is multiple-choice, we only need to make sure that our estimate reliably tells us which of the given options is correct. The quoted guideline is meant to achieve that. If you do say 10,000 runs, you can estimate \sigma^2 per run, conclude that the standard deviation of the average is \sigma/100 and ensure that your answer is correct by checking that you are several standard deviations away from flipping to another of the multiple-choice options.

Greg Robel 06-05-2013 05:36 PM

Re: Clarification on the Radial Basis Function Problems
 
Thanks very much for responding with such alacrity--and especially for the fabulous course! I can't imagine how much work went into producing those incremental slides! Best Regards, Greg Robel

yaser 06-05-2013 08:39 PM

Re: Clarification on the Radial Basis Function Problems
 
Quote:

Originally Posted by Greg Robel (Post 11032)
Thanks very much for responding with such alacrity--and especially for the fabulous course! I can't imagine how much work went into producing those incremental slides! Best Regards, Greg Robel

You are welcome, Greg. It was very much worth it given the broad positive impact it seems to be achieving.


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