LFD Book Forum Clarification on the Radial Basis Function Problems
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#1
06-05-2013, 04:19 PM
 Greg Robel Junior Member Join Date: Jun 2013 Posts: 2
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!
#2
06-05-2013, 05:12 PM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,476
Re: Clarification on the Radial Basis Function Problems

Quote:
 Originally Posted by Greg Robel 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 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 per run, conclude that the standard deviation of the average is 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.
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#3
06-05-2013, 05:36 PM
 Greg Robel Junior Member Join Date: Jun 2013 Posts: 2
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
#4
06-05-2013, 08:39 PM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,476
Re: Clarification on the Radial Basis Function Problems

Quote:
 Originally Posted by Greg Robel 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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