[Flemlo]

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.

[immibis]

That's "just" more statistics though.

[Flemlo]

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.