Navier-Stokes – Tristan Buckmaster [pdf]
621–630 of 866 posts
Re: Navier-Stokes – Tristan Buckmaster [pdf]
#622Earlier quoted context omitted.
Sure, they have clusters. We often call them "closet clusters". Nothing has changed. Some institutions have larger systems (some extremely large) but none of them have demonstrated running warehouse-scale systems. I'm talking one to two orders of magnitude (and the storage and networking to make sure all those systems don't stall waiting for data).
Perhaps I am underestimating the size of these frontier models then, how big of a cluster do you think would be required to serve a university?
Re: Navier-Stokes – Tristan Buckmaster [pdf]
#623Earlier quoted context omitted.
you massively collapsed what AI companies have been doing by comparing it to old internet-scraping. Facebook flat-out admitted that they scanned copyrighted books for their AI. The image generators most definitely trained on copyrighted images.
LAION and Common Crawl both scraped copyrighted images. From what I can tell (I'm not an expert in this domain at all), the main difference between those two and frontier labs is in how they stored and used the data. CC and LAION seem to be actually open (unlike "Open"AI) and are more centered around publicly sharing the data they scrape to support research and innovation. OpenAI et al also stole everything from ever…
Re: Navier-Stokes – Tristan Buckmaster [pdf]
#624Earlier quoted context omitted.
what reason do we have to believe that they did this? both things were proved by AI, isn't it logical that they could have very similar approaches? it is common that multiple people essentially simultaneously prove/invent the same thing I see zero evidence of wrongdoing
OAI started working on this only after they found out it was close to being solved. They threw a team of researchers who spent sleepless nights + a ton of compute. This is not exactly healthy academic competition - it's like if you spend a year hunting for oil fields and finally find a very promising area to be explored, only to find that Exxon tapped their entire exploration unit to go all in and and find it overnig…
I don't agree with the oil claim analogy. this is knowledge, freely given to the world. not something hoarded by a corporation
Re: Navier-Stokes – Tristan Buckmaster [pdf]
#625From what I understand, none of the people involved here are originators of the idea that led to this solution. Not Buckmaster nor Alpöge nor OpenAI. All of the above were using LLMs to push other mathematicians' ideas forward (Diego Cordoba and Luis Martinez-Zoroa; named in the linked document). I don't know how the math community handles this but normally I would think if X mathematician comes up with an idea and Y…
Regarding credit assignment when LLMs are involved, the mathematical community has organized around some rough principles. Gowers has some thoughts on his blog (https://gowers.wordpress.com/2026/07/26/thoughts-about-the-l...) about how explaining a result may be more deserving of credit than producing it. It looks like Buckmaster and Alpöge were taking their time in understanding their results and writing them up when OpenAI forced them to publish their work-in-progress. At the same time OpenAI has published their own writeup but it's not really clear to me how involved humans were.
Re: Navier-Stokes – Tristan Buckmaster [pdf]
#626> This is a a Deep Blue-Kasparov moment. I guess this is true in more ways than one. Kasparov famously accused IBM of cheating during the match, by spying on his preparation (edit: though the main cheating accusation was live human intervention during the games, on top of IBM downplaying the heavy human involvement behind the AI, which also mirrors this situation)
Re: Navier-Stokes – Tristan Buckmaster [pdf]
#627Earlier quoted context omitted.
Perhaps I am underestimating the size of these frontier models then, how big of a cluster do you think would be required to serve a university?
I don't think you're taking this thread seriously enough to respond in detail. A university can be tiny, or it can have thousands of researchers. Some of them might want to work on small models, and others on huge frontier models. Multiple groups training their own models at the same time. Combined with the storage, networking, power, and redundancy, you basically need large data center scale. And at that point you'r…
Re: Navier-Stokes – Tristan Buckmaster [pdf]
#628Earlier quoted context omitted.
OAI doesn't need to mention Buckmaster's name directly in a prompt. They just need to select a basket of sessions that is guaranteed to contain Buckmaster's and then direct the LLM to attack only a specific method/angle. This is trivial to do while maintaining plausible deniability about not using his work.
what reason do we have to believe that they did this? both things were proved by AI, isn't it logical that they could have very similar approaches? it is common that multiple people essentially simultaneously prove/invent the same thing I see zero evidence of wrongdoing
The culture at OpenAI being systematically revealed by Apple’s lawsuit, for one.
Re: Navier-Stokes – Tristan Buckmaster [pdf]
#629Drama/accusation summary: - Aug 15th: Tristan Buckmaster & Levent Alpöge make progress on a few important math problems, "finite-time blowup with smooth forcing for incompressible porous media, for Boussinesq, and for 3d incompressible Euler." - they do NOT have a proof for the $1,000,000 Millenium Prize problem. BUT, they do claim to have a proof for a similar (non-Millenium) Navier Stokes problem that could help le…
It's specifically the last two bullet poitns - Tristan is suspicious of the timing, as only few others were trying this approach. OpenAI says the model didn't access his user data directly, but leaves unanswered whether Tristan's chat conversations were part of the training. - OpenAI says they would partially credit Tristan for the $1,000,000 discovery (even though Tristan did not solve the $1,000,000 problem) — but…
I don’t think we can consider these accusations separately from the evidence being unveiled about OpenAI’s culture by Apple’s lawsuit. These guys seem to openly embrace the strongest interpretations of “good artists copy, great artists steal.”
Re: Navier-Stokes – Tristan Buckmaster [pdf]
#630Earlier quoted context omitted.
I think you may be underestimating how difficult a text search over their data is. They may have to build new mechanisms to do this. And what you really want is also an attribution of how much of a contribution a given corpus made which is a much harder question to answer; a single appearance of a chat probably has very little impact on the inference performance at this time unless it’s been explicitly preferenced so…
If they literally can’t audit training data for a given model, they shouldn’t be operating.
They can operate. They shouldn’t be claiming credit for discovering anything.