Earlier quoted context omitted.
Isn't the point of ML exactly that you don't know the underlying distribution? How is this ever assumed in any way? ML is not parametric statistics.
Well, all optimization problems are equivalent to a maximum likelihood estimate for a corresponding probability distribution so you may make more implicit assumptions than you think. Typical ML methods just have a huge distribution space that can fit almost anything from which they pick just 1 option. This has two downsides: Since your distribution space is several times too large by design you lose the ability to sa…
I'd argue that the latter had bigger success in the past since the prior on the data distribution is usually wrong in real life. Think about a prior for image data distributions or the same in nlp. Forget about it.