Jonathan Wang ⨇

OpenVM Verified account @openvm_org · Dec 16, 2024

Announcing OpenVM, an open-source zkVM framework prioritizing customization and extensibility at every level of the stack.

OpenVM achieves this with a novel modular design allowing developers to extend the ISA, ZK circuits, and proof system within one unified framework.

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Tony Feng Verified account @tonylfeng · Sep 11

The resolution of Navier-Stokes is an amazing accomplishment. Some comments …

First, a brief mathematical postmortem. Millennium problems are important, but when you confront an unsolved problem, it is always unclear how far the solution is out of reach. The initial opinion of at least some experts (not myself – I have no expertise on this problem) seems to be that, in retrospect, the conceptual program underlying this solution happened to already be in place*, and the contribution of AI was a very intricate technical execution. Technical execution is one of the axes on which we've already seen AI become superhuman, though never before with such a dramatic demonstration.

This is not to diminish the solution or OpenAI’s achievement. But there are many problems which are out of reach of current models, no matter how much inference-time compute one invests. I’m still convinced that human mathematicians are laying indispensable groundwork for future progress.

*Terry Tao describes one possible program at mathstodon.xyz/@tao/117207851…. As I understand, the one Tao describes is NOT the Cordoba--Martınez-Zoroa program that OpenAI (and Alpoge/Buckmaster) followed. However, the successful approach was not as esoteric as Buckmaster’s statement might make it seem – there were certainly other people (not me) also prompting that approach; it just isn’t the kind of thing that one goes around saying publicly.

As far as I know, Navier–Stokes is the only one among all Millenium problems with a well-defined program towards a solution. Concretely, for the Birch and Swinnerton-Dyer Conjecture (over number fields) I am not aware of even a vague proposal of what a proof might look like, so I doubt that current AI models will get anywhere close to a resolution. (My opinion is that this conjecture cannot be resolved in the negative; perhaps the most refined formulation is false, but then the real problem would be to correct the formulation and then prove it.) I'd be curious to see what progress was made on it!

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Jimmy Apples 🍎/acc Verified account @apples_jimmy · Aug 5

“ Refining this idea through
further discussion with ChatGPT eventually led us to the discovery of Theorem “

Looking forward to the day when we have big results in the health and science domains as well

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Mario Zechner Verified account @badlogicgames · Jul 29

if i have to read the word seams one more time, i'll quit software and become a carpenter.

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s1r1us Verified account @S1r1u5_ · Jul 24

this is also true for kimi k3. just don't let it think, it performs way better in lot of tasks.

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