Earlier quoted context omitted.
Your tutorial is very good, but to able read even a few paragraphs you need to be proficient with linear algebra and calculus already. > Most papers strike me as requiring a non-trivial knowledge of linear algebra I think this is correct, if you consider college level linear algebra and an intuition for applying it to novel problems to be non-trivial knowledge
> I think this is correct, if you consider college level linear algebra and an intuition for applying it to novel problems to be non-trivial knowledge Yes, in the context of "a self-taught researcher", I think I intuitively meant anything that precisely requires a degree, typical academic knowledge. E.g. you can become a great business person who won't feel hindered by lack of academic knowledge, you definitely can't…
Well you can't do #1 or #2 without having a level of maths proficiency that most college grads do not have.
FWIW, I don't understand the difference between #1 and #2 above. Most academic/industrial research is incremental (i.e. #1), and a tiiiiny % will have any impact in the way something like XGBoost would (the example he gave in another comment). That doesn't mean that the non-impactful research isn't 'basic'. You could alternatively just call #2 "groundbreaking research" and #1 "non groundbreaking research, but you need mathematics knowledge for both imo.