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Andrea Montanari

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@Andrea__M

Professor, Statistics and Mathematics, Stanford University.
(Opinions are my own)
Joined April 2009
319 Following 9.6K Followers 940 Posts

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Andrea Montanari Verified account @Andrea__M
Human-AI comparisons typically focus on accuracy: What fraction of answers in correct?
Most real-world problems have multiple valid answers, so we asked a different question:
Is the distribution over valid answers by AI models different from the one produced by humans? (1/n)
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Andrea Montanari Verified account @Andrea__M
What makes a good research problem? This is a very thought-provoking question that touches on a really complex set of issues that range from aesthetics to education.
Fan Nie Verified account @FanNie1208 Oct 27
AI is now taking on some of the hardest open problems that scientists have posed. But research is broader than solving problems. Can AI also propose research questions that experts find genuinely interesting?

We built After42 to find out. Experts judged 45 of its 135 final questions genuinely interesting, across mathematics, statistics, theoretical computer science, and physics, with wide variation across subfields.

The key idea: develop questions by trying to solve them.

We also asked whether AI can judge which questions are interesting. We find that model judges' top choices align with expert consensus but do not consistently capture individual experts' preferences.

We release the expert-assessed questions as an open resource for researchers to discuss, refine, and pursue, as a step toward integrating AI into the broader research enterprise.

after42.org
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Andrea Montanari Verified account @Andrea__M
I think the mathematics and physics communities have the expertise to digest this proof. I don’t understand the rationale c for such a committee.
Statement of Yang-Mills Working Group, a scientific collaboration to interpret AI result related to the existence of quantum chromodynamics & completions of the Standard Model, including a subproblem proving the existence of the Quantum Yang-Mills theory. buff.ly/BwV89Tk
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Andrea Montanari Verified account @Andrea__M
Many amazing [if correct] results close to my heart / work:
1) Polyakov's conjecture on the O(n) model
[Polyakov's was the first qft paper I read]
2) Quantum annealing for SK model.
3) Reconstruction on trees
[Related to conjectures made with Marc Mezard 20 years ago].
4) k-SAT threshold
[Beautiful work by Gaia Carenini has priority here]
5) Free energy for spin glasses on random graphs.
6) Mixing for the SK model.
7) Factor-of-IID threshold for Ising model on trees
8) Free energy of the spherical perceptron
github.com/openai/math
github.com GitHub - openai/math Contribute to openai/math development by creating an account on GitHub.
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