Timeline for Do all positive distributions on $N$ variables factor pairwise?
Current License: CC BY-SA 3.0
4 events
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Apr 9, 2015 at 21:53 | comment | added | Robert Israel | Bjørn's example shows you can't get arbitrarily close with pairwise factors, and easily generalizes to $k$-wise factors. | |
Apr 9, 2015 at 21:03 | vote | accept | wrvb | ||
Apr 9, 2015 at 21:02 | comment | added | wrvb | Ah, that would explain things! This might be beyond the scope of a comment question, but is there a simple way of characterizing the difference in expressive power between distributions that do factor pairwise, and those that don't? I'm wondering if we can always get 'close', for some definition of close, to an arbitrary positive distribution using a distribution which factors pairwise, or triplet-wise, etc | |
Apr 9, 2015 at 15:19 | history | answered | Robert Israel | CC BY-SA 3.0 |