The text says:
> We also stress there's not a fundamental distinction between machine learning and statistical modeling and inference.
But the link labeled "statistical modeling and inference" leads to a page on statistical learning theory.
There are good connections here, but I wouldn't say that there's no distinction between machine learning and statistical modeling, or even statistical modeling and inference.
The connection that I see -- after reading your paper -- is that machine learning can be brought under the general umbrella of statistical modeling. Every statistical model is based on some kind of rules (or knowledge). It's machine learning when the rules are derived from the data. Otherwise the rules are based on a human-produced theory. I.e. data-driven modeling versus theory-driven modeling.
p.s. You may have noticed that I had the edit lock on the page for a little while. That was just so I could see the source text for the link.