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Mathematical exploration and discovery at scale

terrytao.wordpress.com

131–135 of 135 posts

Re: Mathematical exploration and discovery at scale

#131

Earlier quoted context omitted.

Yes, and that’s what a coding agent is too. Technically an agent is not (just) an LLM, but the two have become synonymous is discussions.

> that’s what a coding agent is too. Not quite.

An AI agent mutates state (the repository) in order to get some metric (e.g. test suites) closer to passing. Same thing, really.

Re: Mathematical exploration and discovery at scale

#132

Earlier quoted context omitted.

> that’s what a coding agent is too. Not quite.

An AI agent mutates state (the repository) in order to get some metric (e.g. test suites) closer to passing. Same thing, really.

An AI agent isn't an evolutionary optimization loop.

Re: Mathematical exploration and discovery at scale

#133

Earlier quoted context omitted.

An AI agent mutates state (the repository) in order to get some metric (e.g. test suites) closer to passing. Same thing, really.

An AI agent isn't an evolutionary optimization loop.

It is when you’re using it right. The most effective way to use an AI agent is to give it a metric for success (ideally tests, but even a description of success), a state upon which it can effect changes (the repo) and it moves the state towards success by executing tool calls and evaluating the success criteria at each step.

Re: Mathematical exploration and discovery at scale

#134
post #65

Earlier quoted context omitted.

Read https://www.argmin.net/p/lore-laundering-machines Given time, we may find out that the solutions in this paper were also in the literature, as was the case in the anecdotes from the linked article :)

Then its utility as a best search agent is even more. It proves the statement, LLM will find the needle in the haystack if the needle exists.

> best search agent

Except that, instead of telling you that the idea came from a particular source, it fools you into thinking it came up with the idea. In other words, it cannot be described as "search", but rather "laundering" as the article describes it.

Re: Mathematical exploration and discovery at scale

#135
post #66

Earlier quoted context omitted.

> that mimics how people do real math Real people do not do math like AlphaEvolve...

What do you feel is fundamentally different about the feedback loop in AlphaEvolve compared to, say, Einstein and Grossman repeatedly running calculations until they found the right tensor setup for General Relativity? Or Euler filling his notebooks with computations? Or Ramanujan? Or Newton working out infinite series? Or Kepler, etc etc. They are all doing iterative search with feedback from a function that tells t…

"All human work is just an iterative search with a feedback function" is the kind of trite and ignorant take that belongs only in the private group chats of VC bros.
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