Comment by dwohnitmok

These set of intuitions and the Johnson-Lindenstrauss lemma in particular are what power a lot of the research effort behind SAEs (Sparse Autoencoders) in the field of mechanistic interpretability in AI safety.

A lot of the ideas are explored in more detail in Anthropic's 2022 paper that's one of the foundational papers in SAE research: https://transformer-circuits.pub/2022/toy_model/index.html