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On the Navier–Stokes Millennium Prize Problem

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Re: On the Navier–Stokes Millennium Prize Problem

#761

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

#762

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

#763

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.

Re: On the Navier–Stokes Millennium Prize Problem

#764
post #736

Earlier quoted context omitted.

If they opted out of training, then we definitely did not train on them. If they did not opt out, then I don't personally know if training signals came from their chats, and I don't think we'd be able to tell without their cooperation in identifying them. And even if signals were trained on in some manner, I highly doubt it made a difference to a problem as challenging as the NS proof. Reasons for my doubt: - I know…

I don't think you'd lie about it, I don't think you'd train on them if they opted out, and it seems very plausible that this wouldn't have been decisive in whether the model could solve the problem. That said, it also seems at least possible that a key idea or a particular step found its way into training data. It wouldn't mean OpenAI stole their proof - clearly the model developed its own approach. Either way, it se…

> It seems like people who might want to use OpenAI's models as part of their research would want to be very clear about whether doing so can make them, even in principle, more likely to fall victim to this.

Fall “victim” to what? Having their responses in the training data if they fail to opt out? That is what will happen.

If you’re referring to falling “victim” to OpenAI scooping a problem discussed in training, this also wasn’t the case. They chose the problem based off human-spread rumors.

Re: On the Navier–Stokes Millennium Prize Problem

#765
post #731

Earlier quoted context omitted.

feels like moving the goalpost. is the achievement impressive or isn't it?

The question being posed isn't whether AI is impressive but whether we're at the "dawn of the singularity"

i'm observing that rapidly moving goalposts is a feature of the singularity

Re: On the Navier–Stokes Millennium Prize Problem

#766

Earlier quoted context omitted.

Their own tweets are also pretty eyebrow-raising: > One option we discussed was that Tristan could be the lead author on a rewrite of OpenAI’s Navier-Stokes proof. It is in that context that I said “it would be simpler if Levent was not an Anthropic employee” because I felt it would be inappropriate for an Anthropic employee to author OpenAI’s work. Why would you offer another researcher the lead authorship on your g…

And why cannot they have someone associated with Anthropic as co-author? That’s not obvious at all. For sure they would prefer to be the only ones, but it’s pretty standard to have co-authors from different companies, even if they are technically competitors. What is inappropriate about it?

would edit my comment but it's been a few hours

> but it’s pretty standard to have co-authors from different companies

that's only true for papers that are not millenium problem solutions

Re: On the Navier–Stokes Millennium Prize Problem

#767

Earlier quoted context omitted.

If they opted out of training, then we definitely did not train on them. If they did not opt out, then I don't personally know if training signals came from their chats, and I don't think we'd be able to tell without their cooperation in identifying them. And even if signals were trained on in some manner, I highly doubt it made a difference to a problem as challenging as the NS proof. Reasons for my doubt: - I know…

> If they opted out of training, then we definitely did not train on them. Can't you guys just check their account settings so the public knows what was set? EDIT: Why was this downvoted? I'm genuinely asking because I have no idea. Opting out is just a normal setting in the profile, It's not like I'm asking for their private conversations or PII. If I were the person claiming that they trained on my conversations, I…

I don’t think your question is unfair*. They can check and so can Buckmaster. If he didn’t opt out, there’s a good chance his data was used for training. I believe this to be the case myself. What I’m more skeptical about is the purported impact of this data on the model’s behavior.

Re: On the Navier–Stokes Millennium Prize Problem

#768
post #252

Earlier quoted context omitted.

>we did not read any private chats The question I am interested in is not "did we read private chats", but "was this new model trained using any of Tristan and Levent's chats, regardless of whether they were marked private". Can you comment on that?

If they opted out of training, then we definitely did not train on them. If they did not opt out, then I don't personally know if training signals came from their chats, and I don't think we'd be able to tell without their cooperation in identifying them. And even if signals were trained on in some manner, I highly doubt it made a difference to a problem as challenging as the NS proof. Reasons for my doubt: - I know…

Your perspective is not helpful until you read and reflect on Tristan's letter stating serious grievances. Your remarks here have minimized his complaints and that is a sign of bias. Do not then pre-accuse HN commenters of being convinced when there reasonable skepticism such biased behavior showing itself in this very thread, saying things that amount to "my tribe/company would never be so egregious and if you think that then it is bad faith". That's the projection. If the word prejudice means anything to you then please do the work of attending to that instead of using the platform to reinforce such biases. If you are not a PhD yourself maybe your are not culturally qualified to assess and expound on the overall situation anyways.

Re: On the Navier–Stokes Millennium Prize Problem

#769

I think this is clear evidence that AI models are now at the far frontier of mathematics innovation and discovery and exceed human limits. This specific problem having had a $1 million bounty on its head and still remaining unsolved for 26 years after the bounty was placed is pretty clear evidence that many of the world's best human mathematicians would have solved this problem if they could have, and none were able…

Here you go:

When you read the detail the compute they are throwing at it is incredible, tens of thousands of agents with different groups competing.

It's not like a single Gauss as you imply, "just" many, many mathematicians working tirelessly in a completely ego-less way, guided by other agents and ultimately humans, built - allegedly - on recent human insights.

Stunning, undoubtedly, but this is a "brilliant autistic herd" result, not that of a singular mind.

Re: On the Navier–Stokes Millennium Prize Problem

#770
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…

> Do "normies" even know what's happening? No, there are even many non-normies talking about how it's all marketing or try to give balanced take about AI being sometimes a little useful for certain things (but they can do without it anyway).

I am absolutely struggling to sell my workplace (which is entirely knowledge work) on the usefulness of LLMs for proofreading let alone on automation of hairy parts of our workflows. So yeah, even people who should be able to see what is coming are not looking.
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