So, I describe the mathematics to ChatGPT-o3-mini-high to try to help reason about what’s going on. It was almost completely useless. Like blog-slop “intro to ML” solutions and ideas. It ignores all the mathematical context, and zeros in on “doesn’t converge” and suggests that I lower the learning rate. Like, no shit I tried that three weeks ago. No amount of cajoling can get it to meaningfully “reason” about the problem, because it hasn’t seen the problem before. The closest point in latent space is apparently a thousand identical Medium articles about Adam, so I get the statistical average of those.
I can’t stress how frustrating this is, especially with people like Terence Tao saying that these models are like a mediocre grad student. I would really love to have a mediocre (in Terry’s eyes) grad student looking at this, but I can’t seem to elicit that. Instead I get low tier ML blogspam author.
**PS** if anyone read this far (doubtful) and knows about density estimation and wants to help my email is bglazer1@gmail.com
I promise its a fun mathematical puzzle and the biology is pretty wild too
Math packages of the time like Mathematica and MATLAB helped me immensely, once you could get the problem accurately described in the correct form, they could walk through the steps and solve systems of equations, integrate tricky functions, even though AI was nowhere to be found back then.
I feel like ChatGPT is doing something similar when doing maths with its chain of thoughts method, and while its method might be somewhat more generic, I'm not sure it's strictly superior.