this post was submitted on 23 Nov 2023
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Many of the building blocks of computing come from complex abstractions built on top of less complex abstractions built on top of even simpler concepts in algebra and arithmetic. If Q* can pass middle school math, then building more abstractions can be a big leap.
Huge computing resources only seem ridiculous, unsustainable, and abstract until they aren't anymore. Like typing messages a bending glass screens for other people to read...
With middle school math you can fairly straightforwardly do math all the way to linear algebra. Calculus requires a bit of a leap, but this still leaves a lot of the math world available.
I can't recall all of it, but most of my calculus courses all the way to multi variate calc and my signals processing all required understanding and using memorized and abstract trig functions which can all be solved using algebra to solve polynomials. One of the big leaps that enables us to go from trig functions to doing limits to calc happen when we used language to understand that summation can tell us what the "area" under the curve is. Geometric functions, odd/even etc is all algebra and trig. If this model can use language to solve those challenges those abstractions can be made more useful to future linguistic models. That's so much more to teach and embedded in these "statistical" models and NNs. (Edited, because I forgot to check how bad my autocorrect is)