On Wed, Dec 03, 2003 at 01:03:07PM -0800, Martin Stone Davis wrote:
> Toad wrote:
> 
> >On Wed, Dec 03, 2003 at 12:11:39PM -0800, Martin Stone Davis wrote:
> >
> >>Toad wrote:
> >>
> >>
> >>>On Wed, Dec 03, 2003 at 11:34:06AM -0800, Martin Stone Davis wrote:
> >>>
> >>>
> >>>>>Interesting. But I'm not sure whether your function for DDF is
> >>>>>the best one. Further I'm not sure whether the problem at hand
> >>>>>(average a bernoulli distribution) has a good solution without
> >>>>>memorizing the last N values.
> >>>>
> >>>>Well, IF the variable truly acts like a random Bernoulli variable, then 
> >>>>I doubt it's necessary to memorize the last N values.
> >>>>
> >>>>However, if it does something like this (for example): 1 1 0 0 0 0 1 1 
> >>>>0 0 1 1 1 1 0 0, where every other value really depends on the prior 
> >>>>value, then some kind of pattern-recognition algorithm could figure 
> >>>>that out and allow us to make better predictions.  We human beings 
> >>>>should look at the pattern of failures/successes for each binary 
> >>>>variable we use in the estimator to see that my assumption of a random 
> >>>>Bernoulli is a good one.
> >>>
> >>>
> >>>It would be useful to have that data on the RT node detail page.
> >>
> >>Agreed, but note the following: If the DDRA is close to 0 or 1, then we 
> >>need to show more values than if the DDRA is close to 0.5.  Otherwise, 
> >>we won't have a good idea about what is happening with thvariable.
> >
> >
> >Why not just have a large fixed number? You'll have to have a limit
> >anyway.
> 
> That's fine too.  And here's an even better idea: to make it easier to 
> read if DDRA is near 0 or 1, we should display the sequence like this: 
> "0(124) 1 0(56) 1"  to indicate a sequence of 124 0's followed by a 1 
> followed by 56 0's followed by a 1.
> 
> That would also reduce the memory requirements.  We wouldn't have to 
> memorize the hundreds of previous values necessary for a variable with a 
> low or high DDRA.  We would limit the total sequence to the last, say, 
> 30 elements of the string (the string I showed has 4 elements in it). 
> Then we only have to memorize the last 30 string elements, where each 
> element consists of a value and a count.

Hundreds of bits is not many bytes :)
> 
> (I suppose for a binary variable you don't have to store the value every 
> time [you know the values alternate between 0 and 1], but you might as 
> well, since otherwise the coding could get tricky, and storing each 
> value allows us to use it for discrete variables that take more than 2 
> values [if we ever encounter such a thing].)
> 
> >
> >>We should shoot for DDRA*(1-DDRA)*nValuesToShow>=5, so let
> >>
> >>nValuesToShow=MIN(5/(DDRA*(1-DDRA)),MAXIMUM_YOU_CAN_STAND_TO_SHOW_ON_DETAIL_PAGE)
> >>
> >>-Martin
> 
> -Martin
> 
> 
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Matthew J Toseland - [EMAIL PROTECTED]
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ICTHUS - Nothing is impossible. Our Boss says so.

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