I have a hard time with this as a way to extend data.   If it is 
high-dimensional it will be under-sampled.  Seems better to me to  measure or 
simulate more so that the joint distribution can be realistic.  And if you can 
do that there is no reason to infer the joint distribution because you *have* 
it.

On Apr 19, 2020, at 8:18 AM, Frank Wimberly <[email protected]> wrote:


Going back and forth:  If you infer the causal graph from observational data 
you can use that graph to simulate data with the same joint distribution as the 
original data.


Frank

On Sun, Apr 19, 2020 at 9:11 AM uǝlƃ ☣ 
<[email protected]<mailto:[email protected]>> wrote:
The *ensemble* point is the primary reason I regret not being able to parse 
your response to my Necker cube summarization of EricS' TLDR. It goes back to 
the original question of how/whether distributional conceptions better catch 
the unknown unknowns left dangling in the ambience. Pearl's attempts to burst 
"causality" into graphs, away from chains (though helping to identify chains 
when they do exist) is along the same line.

To boot, it evokes both Gödel's interpretation of von Neumann's interpretation 
of Gödel's work (that it takes an infinite expression to describe a thing) and 
Rosen's definition of complexity (basically anything that requires an infinite 
number of models to describe).

And, although I can't get my hands on the Rota paper EricS posted, I'm leery of 
relying on any phenomenology. Heidegger I trust a bit. Husserl not so much. 
Regardless, I don't think it's *necessary* to go that deep to grok the main 
point, which is that the transformation should be invertible. We should be able 
to flip back and forth from goo to thing such that the flipping doesn't change 
it. The goo we get after flipping from the things should be the same goo we had 
to start with.

On 4/19/20 6:25 AM, Steven A Smith wrote:
> My work of late (other than SimTable) has been in the realm of trying to 
> analyze ensembles of predictive simulations.   This is a logical next step 
> (forward and backward propogating data and constraints as they are 
> recorded/discovered/postulated) across space (populations) and time.


--
☣ uǝlƃ

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