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AlphaGeometry: An Olympiad-level AI system for geometry

deepmind.google

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Re: AlphaGeometry: An Olympiad-level AI system for geometry

#141
post #34

Earlier quoted context omitted.

It's a quote from the article. The argument is naturally there.

I was referring to your leetcode analogy; those too are hard for humans.

No, the analogue of competition math here is writing programs to solve leetcode problems: they emphasize quickly and reliably applying known tools, not developing new ones.

Re: AlphaGeometry: An Olympiad-level AI system for geometry

#144
post #58

Google DeepMind keeps publishing these things while having missed the AI-for-the-people train, that I'm getting more and more the feeling that they have such a huge arsenal of AI-tech piling up in their secret rooms, as if they're already simulating entire AI-based societies. As if they're stuck in a loop of "let's improve this a bit more until it is even better", while AGI is already a solved problem for them. Or th…

They are optimizing for Nature papers, not general usability. Not even one thing they did was without an associated Nature paper, and the paper was always first.

Maybe they have a secret client. I mean someone must be doing this for our side. If not them then who?

Re: AlphaGeometry: An Olympiad-level AI system for geometry

#145
post #97

As soon as ChatGPT got released, I tried to make it solve IMO-style problems. It failed. If this is legit, this is huge. Finding geometric proofs means proving things, and proving propositions is what an intelligence does. In my opinion, this is the closest we have gotten so far to AGI. Really excited to see what the future holds.

Proving propositions has been computer work for several decades. This is not a pure LLM. Search algorithms are obviously incredibly powerful at solving search problems. The LLM contribution is an "intuitive" way to optimize the search.

This is basically semantic pruning.

Re: AlphaGeometry: An Olympiad-level AI system for geometry

#146

If I read their paper right, this is legit work (much more legit than DeepMind's AI math paper last month falsely advertised as solving an open math research problem) but it's still pretty striking how far away the structure of it is from the usual idea of automated reasoning/intelligence. A transformer is trained on millions of elementary geometry theorems and used as brute search for a proof, which because of the e…

how did you edit your comment after it got visible to others?

Re: AlphaGeometry: An Olympiad-level AI system for geometry

#147

Earlier quoted context omitted.

Chess never faded away. It actually has never been as big as it is today.

That might be true in the number of active chess players, but it's no longer viewed as a peak intellectual game and the magic is long gone, just another intense hobby some people do, but basic machines can do better.

Maybe not the peak intellectual game, because there are overall so many other games, digital as well, but it is unaffected from the fact that computers have beat humans.

Re: AlphaGeometry: An Olympiad-level AI system for geometry

#148

As soon as ChatGPT got released, I tried to make it solve IMO-style problems. It failed. If this is legit, this is huge. Finding geometric proofs means proving things, and proving propositions is what an intelligence does. In my opinion, this is the closest we have gotten so far to AGI. Really excited to see what the future holds.

As soon as ChatGPT got released, I tried to make it solve IMO-style problems. It failed.

Have you tried the same questions with ChatGPT 4? It is a transformational change (no pun intended) over the earlier releases, and over all open-source models.

Just today, I needed to interpret some awkwardly-timestamped log data. I asked it a few questions along the lines of "What time it was 10,000 seconds before xx:yy:zz?" It didn't give me the answer, but it wrote and executed a Python program that did.

Re: AlphaGeometry: An Olympiad-level AI system for geometry

#149

As a former problem designer for IMO and similar contests, I deeply enjoyed reading this paper. At the same time, I'd like to point out that it was clear Geometry had to be the first topic to give up against AI (i.e., smart knowledge and inference-method indexing) Among math olympiad topics, Geometry problems are often the most "mechanical." Once you can express the problem in terms of coordinates (think XY or comple…

How did you get into such a position? Is there an application process of some sort?

After verifying solvability, what is the process for selecting the specific problems that will show up in the finished set? Is it by vote or some other evaluation?

Re: AlphaGeometry: An Olympiad-level AI system for geometry

#150

If I read their paper right, this is legit work (much more legit than DeepMind's AI math paper last month falsely advertised as solving an open math research problem) but it's still pretty striking how far away the structure of it is from the usual idea of automated reasoning/intelligence. A transformer is trained on millions of elementary geometry theorems and used as brute search for a proof, which because of the e…

how did you edit your comment after it got visible to others?

You can edit a comment for about an hour if I remember correctly, regardless of it being visible. You can't delete it after someone responds to it though.
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