Approximate Natural Latents Have Exact Prices

Second content post in a planned cluster on exact results for natural latents. See the introduction and the previous post. In this post, I share some key theoretical results that this framing generates. This post has more math in it than the last one, most of which I've banished to collapsible sections.[1] I assume you've read the previous posts, but I tried to make the pedagogical arc make sense even if you start with this one. It helps if you have some familiarity with natural latents, canonic...