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On the Navier–Stokes Millennium Prize Problem

openai.com

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Re: On the Navier–Stokes Millennium Prize Problem

#31

the context here is super important, for those who haven't seen it yet. OAI maybe just trained on a real researchers solution and then celebrated having scored the goal unassisted save for the brief commentary at the bottom of this blog post. Here's the other side. https://x.com/rynorhn/status/2097223532438487463

That other researcher was working on a smaller related problem.

He was also using LLMs to do it, so either way most of the credit goes to the LLM here.

Re: On the Navier–Stokes Millennium Prize Problem

#32
post #18

> Our goal in releasing this result is to report on the substantial progress of our AI models. We do not intend to claim the Millennium Prize for this result. Does OpenAI have a policy of not claiming math prizes like this, or is this them trying to avoid any concerns (right or wrong, I'm sure we will hear more in the future) about how they got there?

The prize is what, a million dollars? OpenAI doesn't need a million dollars.

You’re right, they need way, way more than that

Re: On the Navier–Stokes Millennium Prize Problem

#33
"While unlikely, we cannot rule out that de-identified data derived from their usage of our products helped improve our models."

There you go, the suspicion of the "concurrent work" (https://cims.nyu.edu/%7Etristanb/statement.pdf) mathematicians might not be that unfounded after all...

Re: On the Navier–Stokes Millennium Prize Problem

#34
post #18

> Our goal in releasing this result is to report on the substantial progress of our AI models. We do not intend to claim the Millennium Prize for this result. Does OpenAI have a policy of not claiming math prizes like this, or is this them trying to avoid any concerns (right or wrong, I'm sure we will hear more in the future) about how they got there?

The prize is what, a million dollars? OpenAI doesn't need a million dollars.

They definitely need a trillion dollars though, and a million is some of that

Re: On the Navier–Stokes Millennium Prize Problem

#35
Buried under the drama is the fact that OpenAI is claiming that an internal model they’ve been training for less than two weeks is more than twice as capable in mathematics as Astra, which was only made public a week ago. Even if this improvement is limited to mathematics, that is an astounding feat.

Re: On the Navier–Stokes Millennium Prize Problem

#36

Does seem like they gloss over Alpöge and Buckmaster's work with the following > While unlikely, we cannot rule out that de-identified data derived from their usage of our products helped improve our models . Which seems a bit irresponsible/rash?

"Unlikely" lmao if it's in the corpus, it's gonna be brought up immediately.

This is no different than scooping them.

Re: On the Navier–Stokes Millennium Prize Problem

#37

Does seem like they gloss over Alpöge and Buckmaster's work with the following > While unlikely, we cannot rule out that de-identified data derived from their usage of our products helped improve our models . Which seems a bit irresponsible/rash?

What else can they declare really? Yeah the model has training data from previous attempts. Alpöge and Buckmaster also similarly benefited from attempts before theirs.

Re: On the Navier–Stokes Millennium Prize Problem

#38
The real story here: the priority dispute and its implications on AI.

When your hosting provider has unlimited resources to throw at any problem, all they need to know are the good problems, and they can learn that from your logs, how can you trust them?

They could easily have looked at the logs. We don't know. We'll never know!

You can't trust places like OpenAI or Anthropic with your IP if you're a business. They can easily review all of your logs for interesting discoveries. For example, if your drug discovery pipeline fails to find something that they think might work with 1000x the compute, they can do it. And now suddently they have a new business and you don't.

Re: On the Navier–Stokes Millennium Prize Problem

#40

5 million messages, 300b output tokens, done in 5 days, and achieving something humans couldn't. the first "Country of geniuses in a datacenter" moment.

> humans couldn't.

There's allegations right now that the model essentially read the work of a human mathematician using AI to work on the problem and OpenAI is presenting his work as that of their model

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