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On the Navier–Stokes Millennium Prize Problem

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Re: On the Navier–Stokes Millennium Prize Problem

#761

Post by stratos123 »

root_axis wrote: post #454
echelon wrote: post #53

Earlier quoted context omitted.

This is going to be dramatic in so many different ways. - First off, to reiterate, WOW. - Second of all, when does this end? Are we at the dawn of the singularity now? - People are saying OpenAI "stole" this from the work of an OpenAI user. If so, that's pretty fucked - how can we trust them? - Time to think about retiring from any knowledge work or business? This could be winner-take-all where a leading lab can butt…

It's incredible to me that every single time there's a new model people scream "singularity" from the rooftops and every time they are wrong. This is an impressive result, but there is absolutely zero evidence of "the singularity".

...obviously it is evidence of the singularity. You're far more likely to see models solving Millenium Prize problems if a singularity is coming than if it's not. One'd have to be doing quite a lot of mental gymnastics to pretend otherwise.

Re: On the Navier–Stokes Millennium Prize Problem

#762

Post by [deleted] »

nerevarthelame wrote: post #588
tedsanders wrote: post #41

Earlier quoted context omitted.

Yes, that was the allegation last night. I work at OpenAI, though not on the team that did this, and my understanding is: - we decided to ask our model for Millenium problem solutions because of two reasons: (a) our new model was looking incredibly good and (b) we heard rumors that some Millenium problems had been solved and were curious if our models could solve them (the goal here was not to scoop any particular in…

My employer would be rightfully outraged if I commented publicly on a sensitive, nuanced, and controversial issue like this based on my second-hand understanding of the matter.

[deleted]

Re: On the Navier–Stokes Millennium Prize Problem

#764

Post by root_axis »

stratos123 wrote: post #761
root_axis wrote: post #454

Earlier quoted context omitted.

It's incredible to me that every single time there's a new model people scream "singularity" from the rooftops and every time they are wrong. This is an impressive result, but there is absolutely zero evidence of "the singularity".

...obviously it is evidence of the singularity. You're far more likely to see models solving Millenium Prize problems if a singularity is coming than if it's not. One'd have to be doing quite a lot of mental gymnastics to pretend otherwise.

Poor reasoning. You could apply the same logic to any improvement in any field of machine learning.

Re: On the Navier–Stokes Millennium Prize Problem

#765

Post by joshka »

irthomasthomas wrote: post #702
tedsanders wrote: post #41

Earlier quoted context omitted.

Yes, that was the allegation last night. I work at OpenAI, though not on the team that did this, and my understanding is: - we decided to ask our model for Millenium problem solutions because of two reasons: (a) our new model was looking incredibly good and (b) we heard rumors that some Millenium problems had been solved and were curious if our models could solve them (the goal here was not to scoop any particular in…

If the goal was not to scoop them, why did openai put a massive team on this, working weekends, only after they heard rumors of the solution?

I worked at OpenAI previously, but don't know any of the people involved in this.

My guess was it was probably this was more a nerd snipe than any action from OpenAI that was a "massive team" being put on it. Literally someone looking at this and asking "I wonder if our models are good enough yet".

It's easy to assume that having access to massive compute amounts means significant coordination, but this assumes that you're looking at the costs of this sort of thing from an external lens. Internally, tokens are often treated as free and infinite.

Re: On the Navier–Stokes Millennium Prize Problem

#766

Post by derangedHorse »

pred_ wrote: post #151
tedsanders wrote: post #41

Earlier quoted context omitted.

Yes, that was the allegation last night. I work at OpenAI, though not on the team that did this, and my understanding is: - we decided to ask our model for Millenium problem solutions because of two reasons: (a) our new model was looking incredibly good and (b) we heard rumors that some Millenium problems had been solved and were curious if our models could solve them (the goal here was not to scoop any particular in…

> we did not read any private chats Your post says “While unlikely, we cannot rule out that de-identified data derived from their usage of our products helped improve our models .” We can discuss what it means to “read” things but obviously the issue here isn't whether you did it manually or automatically. But more importantly, what on earth are you doing threatening real scientists to remove their coauthors, then ma…

Except that’s not what happened. OpenAI offered to collaborate and put conditions on their offer. They aren’t threatening the removal of a coauthor for an independent work.

Re: On the Navier–Stokes Millennium Prize Problem

#767

Post by The_Blade »

qlte wrote: post #567
Eridrus wrote: post #466

Earlier quoted context omitted.

Seeing mathematicians such as Terry Tao being unhappy with open problems being solved makes me sort of question the usefulness of any of this pure mathematics. If we're not happy that the problems are being solved, why care about this field at all?

Pure mathematics, almost by definition, doesn't typically argue the field is always or even often "useful" (for some other purpose or application). But, as mathematicians learn and push forward, occasionally something like elliptic curves will emerge as having useful applications, making all that previously "pointless" specialized knowledge newly valuable. Or advances in physics, that suddenly have a need for a speci…

[dead]

Re: On the Navier–Stokes Millennium Prize Problem

#768

Post by tristanj »

biophysboy wrote: post #109
floatrock wrote: post #43

Earlier quoted context omitted.

OpenAI's position: > We (the researchers and the agents) did not see any of their work through any means until they released it publicly — in particular, no specific user data was accessed in order to solve this problem. While unlikely, we cannot rule out that de-identified data derived from their usage of our products helped improve our models . However, our proofs differ significantly and even the precise results p…

Why is it unlikely?

Because the models are trained on hundreds of billions of user conversations, across more than a billion different humans. The conversations are anonymized and not easily traceable back to a specific user.

It's unknowable and not possible to prove if any one specific conversation contained the insights for solving Navier–Stokes.

We also don't know if the authors unintentionally provided data to OpenAI through alternate means, such as via alternate accounts or model feedback queries.

Re: On the Navier–Stokes Millennium Prize Problem

#769

Post by nozzlegear »

jdm2212 wrote: post #729
nozzlegear wrote: post #673

Earlier quoted context omitted.

> If you need privacy, then you are going to have to pay full price for those tokens (API). At this point, how can we even trust that they aren't accidentally training on those tokens too?

It'd be corporate suicide for them to be caught violating zero-data-retention commitments. But also if you're really paranoid you can just use ChatGPT on Azure or AWS, where nothing is flowing back to OpenAI at all.

> It'd be corporate suicide for them to be caught violating zero-data-retention commitments.

One would think getting caught asleep at the wheel while their bots are escaping containment and hacking third parties would be corporate suicide. One would think that potentially stealing their competitors' work on the Navier-Stokes problem would be corporate suicide.

Alas we live in bizarro world where there are zero consequences (maybe the opposite, in fact) for the first, and their employees meme about the second on social media.

Re: On the Navier–Stokes Millennium Prize Problem

#770

Post by logicallee »

tedsanders wrote: post #41
pavel_lishin wrote: post #8

Is this the one that was allegedly based on someone else's actual work & prompts? https://news.ycombinator.com/item?id=49605915 https://bsky.app/profile/quantian.bsky.social/post/3muyhwbcd... https://cims.nyu.edu/~tristanb/statement.pdf

Yes, that was the allegation last night. I work at OpenAI, though not on the team that did this, and my understanding is: - we decided to ask our model for Millenium problem solutions because of two reasons: (a) our new model was looking incredibly good and (b) we heard rumors that some Millenium problems had been solved and were curious if our models could solve them (the goal here was not to scoop any particular in…

My OpenAI account was deactivated on Sunday due to a claimed infraction of production of child materials, maybe based on a few words in a technical chat that clearly isn't about that. Can you take a look? rviragh@gmail.com - I was doing a lot of important work and projects and sharing much of my work with OpenAI. I also am a big proponent of funding Social Security Trust Funds (OASI & DI Solvency) so reactivating my account would let me do that as well. Thank you for taking a look.
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