On Saturday 02 August 2008 03:43, Daniel Cheng wrote:
> On Fri, Aug 1, 2008 at 11:52 PM, Michael Rogers <m.rogers at cs.ucl.ac.uk> 
wrote:
> > Daniel Cheng wrote:
> >> in a circular space, we can get infinite number of "average" by changing
> >> point of reference. --- choose the point of reference with the smallest
> >> standard deviation.
> >
> > From an infinite number of alternatives? Sounds like it might take a
> > while. ;-) I think we can get away with just trying each location as the
> > reference point, but that's still O(n^2) running time.
> 
> That's what I have in mind.
> It is not as large as you think as we don't have to calculate every
> single data point -- just take a good random sample of it should do.
> 
> > How about this: the average of two locations is the location midway
> > along the shortest line between them. So to estimate the average of a
> > set of locations, choose two locations at random from the set and
> > replace them with their average, and repeat until there's only one
> > location in the set.
> >
> > It's alchemy but at least it runs in linear time. :-)

How about a klein filter? The average is initially set to the first hit's 
value. It then moves X% towards each report (in the direction of the shortest 
distance between its current value and the report).

Simple and effective, no? IIRC we have such a class already, but review is 
always welcome.
> >
> > Cheers,
> > Michael
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