this post was submitted on 17 May 2024
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"We invented a new kind of calculator. It usually returns the correct value for the mathematics you asked it to evaluate! But sometimes it makes up wrong answers for reasons we don't understand. So if it's important to you that you know the actual answer, you should always use a second, better calculator to check our work."
Then what is the point of this new calculator?
Fantastic comment, from the article.
That's not really right, because verifying solutions is usually much easier than finding them. A calculator that can take in arbitrary sets of formulas and produce answers for variables, but is sometimes wrong, is an entirely different beast than a calculator that can plug values into variables and evaluate expressions to check if they're correct.
As a matter of fact, I'm pretty sure that argument would also make quantum computing pointless - because quantum computers are probability based and can provide answers for difficult problems, but not consistently, so you want to use a regular computer to verify those answers.
Perhaps a better comparison would be a dictionary that can explain entire sentences, but requires you to then check each word in a regular dictionary and make sure it didn't mix them up completely? Though I guess that's actually exactly how LLMs operate...
It's only easier to verify a solution than come up with a solution when you can trust and understand the algorithms that are developing the solution. Simulation software for thermodynamics is magnitudes faster than hand calculations, but you know what the software is doing. The creators of the software aren't saying "we don't actually know how it works".
In the case of an LLM, I have to verify everything with no trust whatsoever. And that takes longer than just doing it myself. Especially because an LLM is writing something for me, it isn't doing complex math.
If a solution is correct then a solution is correct. If a correct solution was generated randomly that doesn't make it less correct. It just means that you may not always get correct solutions from the generating process, which is why they are checked after.