Why does spherical-linear Bayesian optimization work?

Preamble This post was the result of me putting Claude Fable to the test in early July when it was made available to the public again and was included in my personal Claude Pro subscription. I gave it a question and some hypotheses about a paper that had been on my radar for a while, and it ran experiments and produced the report below. I reviewed it with roughly the same thoroughness that I would…