Earlier quoted context omitted.
Here is a fairly good lecture series on graduate level complexity theory that will help understand parts. At least why multiple iterations help but why they also aren't the answer to super human results. https://youtube.com/playlist?list=PLm3J0oaFux3b8Gg1DdaJOzYNs...
Thanks for the tip, though I’m not sure how complexity theory will explain the impossibility of superhuman results. The main advantage ML methods have over humans is that they train much faster. Just like humans, they get better with more training. When they are good enough, they can be used to generate synthetic data, especially for cases like software optimization, when it is possible to verify the ground truth. A…
Almost all the performance of say college tests are purely from the pre-training, pattern finding and detection.
Transformers are limited to DLOGTIME-uniform TC0, they can't even do the Boolean circuit value problem.
The ability to use the properties of BPP, does help.
Understanding the power of, and limitations of iteration and improving approximations requires descriptive complexity theory IMHO.