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The way the input doesn't match the output should imply that it's not just statistics.

As soon as compression happens, optimization happens which can lead to rules/learning of principles which got feed by statistics.



That's "just" more statistics though.


Are you good in math definitions or is this an opinion?

For me a compressed model learning rules through statistics is not statistics anymore.

Physic rules are not statistics.


Of course they are. Force has a strong correlation with mass times acceleration. Objects at rest have a high chance of being observed to remain at rest. And so on.


Statistic is not the same as constant equations.


The equations were discovered by experiment and curve-fitting.




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