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In any given rankable activity, at what level is the rate of improvement predicatable?

I am looking at the top500.org Performance Development chart of supercomputers since 1993. What's interesting is how the No.500 spot has improved in remarkably smooth increments since 1993; while the No.1 spot has not - rising in distinct steps. This makes sense I guess, the lumps and bumps of innovation, etc. All that fresh air at the top of the mountain. Naturally I can't help wondering though, at what position would the graph change from one to the other.

But my question really is, is this a generalisable phenomenon? So, say, that in any given rankable performance is there a level at which the rate of improvement is predictable?

Or to put it another way, how good do you have to be to be unpredictable?

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  • Asked by Aukker
  • on 2010-06-02 20:34:38
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Categories: Unanswered.

Tags: Statistics, computers.

 

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MikeAdams#367 says:

You see a similar thing in many sports: the gap between number one and two in the 100 metres is often surprisingly large. I think the reason is that as you get to the very top the sample size is smaller and so the variance rises. At the lower end there are so many individuals that is is almost certain that you will find examples in every interval of measurement.

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Tags: Statistics, computers.

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posted on 2010-06-04 17:39:20 | Report abuse


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