Paul C Abbott Profile picture
Sharing my passions: math, physics, computation, politics, history, photography, music, cycling and AFL

Feb 1, 2023, 9 tweets

ChatGPT

While it is true that there is too much hype surrounding #ChatGPT—which is mathematically very weak—one should not forget the dramatic recent progress in #machinelearning and #deeplearningai that are right now doing some amazing things (1/6)

• solving the chaotic three-body problem (2/6) arxiv.org/abs/1910.07291

• solving physics problems generated by Minerva 540B (3/6) ai.googleblog.com/2022/06/minerv…

• solving differential equations and integrals (4/6) ai.facebook.com/blog/using-neu…

• discovering PDEs in integral form from sparse and noisy data (5/6) arxiv.org/abs/2011.11981

• obtaining universal DEs (6/6) arxiv.org/pdf/2001.04385…

And there is also this—which I find *very* impressive:

openai.com/blog/formal-ma…

Plus I’d forgotten about the Ramanujan machine. Interestingly, only *some* of its conjectures have been proven… ramanujanmachine.com

And one more: Predicting zeros of the Riemann zeta function: sci.sdsu.edu/math-reu/2018-…

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