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Great question.
Don't buy the hype. LLMs can produce all kinds of useful things but they don't know anything at all.
No LLM has ever engineered anything. And there's ~~no~~ sparse (concession to a good point made in response) current evidence that any AI ever will.
Current learning models are like trained animals in a circus. They can learn to do any impressive thing you an imagine, by sheer rote repetition.
That means they can engineer a solution to any problem that has already been solved millions of times already. As long as the work has very little new/novel value and requires no innovation whatsoever, learning models do great work.
Horses and LLMs that solve advanced algebra don't understand algebra at all. It's a clever trick.
Understanding the problem and understanding how to politely ask the computer to do the right thing has always been the core job of a computer programmer.
The bit about "politely asking the computer to do the right thing" makes massive strides in convenience every decade or so. Learning models are another such massive stride. This is great. Hooray!
The bit about "understanding the problem" isn't within the capabilities of any current learning model or AI, and there's no current evidence that it ever will be.
Someday they will call the job "prompt engineering" and on that day it will still be the same exact job it is today, just with different bullshit to wade through to get it done.
Wait, if you can (or anyone else chipping in), please elaborate on something you've written.
When you say
That means they can engineer a solution to any problem that has already been solved millions of times already.
Hasn't Google already made advances through its Alpha Geometry AI?? Admittedly, that's a geometry setting which may be easier to code than other parts of Math and there isn't yet a clear indication AI will ever be able to reach a certain level of creativity that the human mind has, but at the same time it might get there by sheer volume of attempts.
Isn't this still engineering a solution? Sometimes even researchers reach new results by having a machine verify many cases (see the proof of the Four Color Theorem). It's true that in the Four Color Theorem researchers narrowed down the cases to try, but maybe a similar narrowing could be done by an AI (sooner or later)?
I don't know what I'm talking about, so I should shut up, but I'm hoping someone more knowledgeable will correct me, since I'm curious about this
Wanted to focus a bit on this. The thing with AlphaGeometry and AlphaProof is that they really treat doing math as a game, not unlike chess. For example, AlphaGeometry has a basic set of rules, it can apply them and it knows when it is done. And when it is done, you can be 100% sure that the solution is correct, because the rules of the game are known; the 28/42 score reported in the article is really four perfect scores and three zeros. Those systems do use LLMs, but they really are only there to suggest to the system what to try doing next. There is a very enlightening picture in the AlphaGeometry paper here: https://www.nature.com/articles/s41586-023-06747-5#Fig1
You can automatically verify correctness of code the same way. For example Lean, the language AlphaProof uses internally, can be used for general programming. In general, we call similar programming techniques formal methods. But most people don't do this, since this is more time-consuming than normal programming, and in many cases we don't even know how to define the goal of our code (how to define correct rendering in a game?). So this is only really done when the correctness of the program is critical, like famously they verified the code of the automatic metro in Paris this way. And so most people don't try to make programming AI work this way.