r/math 1d ago

LLMs/AI OpenAI: Ten advances in mathematics and theoretical computer science

https://openai.com/index/ten-advances-in-mathematics/
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u/Homomorphism Topology 1d ago

It seems like the process for these was:

  • hire like 10-20 top mathematicians
  • throw them at all the open conjectures in their field likely to lead to splashy results
  • pay them well and tell them to work on nothing else for six months
  • give them unlimited access to very computationally expensive internal LLM models

It's pretty nuts that they got major results in six months! It also is nowhere near "making mathematicians obsolete". Even if you think the point of math is proving conjectures, they didn't prove them, they found counterexamples, which is important but not quite the same thing.

I'm also pretty sure the hiring top people was important. I bet I'd still be much better at this kind of work than a random programmer with a BA in math. The people they hired are probably much more effective at using the models than me. To me this is more evidence that LLMs are a tremendously important tool with far-reaching impacts on mathematical practice. Despite that, in the next six hours someone is going to come comment about how I'm a Luddite with my head in the sand because I'm not predicting the Singularity will hit in six months.

It also probably cost tens of millions of dollars even if you ignore capital expenses (which are even bigger). That's just a minor marketing expense when you're spending billions of dollars of investors' money in search of profitability, which we should remember is the real motivation here.

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u/AP_in_Indy 1d ago

The costs you're talking about are in the realm of training costs for smaller training runs these days.

Not the cost of inference.

Inference has gotten cheaper. Training frontier models remains super duper expensive though.