Cosmomc 2d contours

Use of Healpix, camb, CLASS, cosmomc, compilers, etc.
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Anze Slosar
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Joined: September 24 2004
Affiliation: Brookhaven National Laboratory
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Cosmomc 2d contours

Post by Anze Slosar » March 31 2006

Hi,

What exactly is the algorithm used for 2D contouring in cosmomc getdist's matlab scripts?

The algorithm I used before and I think it is sensible is to grid samples on a 2d grid, sort the cells by the density and then go from the densenst to the least dense cell until 68% (95%) of all samples are enclosed and record the density at that point which is then used as contouring level. Is something similar used in getdist?

Antony Lewis
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Joined: September 23 2004
Affiliation: University of Sussex
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Re: Cosmomc 2d contours

Post by Antony Lewis » March 31 2006

Yes, where the bin values are given by a Gaussian weighting given by the distance from the bin centre, with appropriate compensation for priors when near sharp prior boundaries. Technically it does it by a binary search on the density rather than sorting for 2D case. See Get2DPlotData. It is not very efficient.

Should check results are stable under increasing the number of bins - smoothing can make contours look larger than they really are, depending on how sharply the likelihood falls off.

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