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Machine Learning in Physics and Geometry

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arxiv 2303.12626 v2 pith:73AGKIY3 submitted 2023-03-22 hep-th math-phmath.AGmath.MP

classification hep-thmath-phmath.AGmath.MP
keywords learningmachineartificialgeometryintelligencemathematicalphysicsadvocate
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We survey some recent applications of machine learning to problems in geometry and theoretical physics. Pure mathematical data has been compiled over the last few decades by the community and experiments in supervised, semi-supervised and unsupervised machine learning have found surprising success. We thus advocate the programme of machine learning mathematical structures, and formulating conjectures via pattern recognition, in other words using artificial intelligence to help one do mathematics. This is an invited chapter contribution to Elsevier's Handbook of Statistics, Volume 49: Artificial Intelligence edited by S.~G.~Krantz, A.~S.~R.~Srinivasa Rao, and C.~R.~Rao.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Advancing Geometry with AI: Multi-agent Generation of Polytopes

    math.CO 2025-01 conditional novelty 7.0 of 10

    An AI-guided search produced a 24-vertex width-6 prismatoid, giving a 19-dimensional non-Hirsch polytope, the smallest known, plus new bounds for monotone paths and neighbourly polytopes.

  2. Enhancing Meme Token Market Transparency: A Multi-Dimensional Entity-Linked Address Analysis for Liquidity Risk Evaluation

    q-fin.ST 2025-05 conditional novelty 5.0 of 10

    A wallet-clustering pipeline is applied to meme tokens, yielding adjusted liquidity indicators that show higher holder concentration and lower apparent quality than unadjusted on-chain metrics.

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