[btilly]

Indeed. I find https://www.thestar.com/news/insight/2016/01/16/when-us-air-... to be a good cautionary tale on how our intuition about people being close to average is misleading - nobody is. And nobody is particularly like anyone else, either.

On a thousand dimensional hill, my intuition is that it locally looks like a low dimensional hill, along axes that you can find through techniques like Principal Components Analysis. This has yet to mislead me. On the other hand, my pure math background was a long time ago, and I have not explored machine learning in any real depth...

[nerdponx]

But what this article makes me think is that even "low" dimensions can't be trusted, as long as it's greater than 3.