Searching for ribbons with machine learning

Searching for ribbons with machine learning

We apply Bayesian optimization and reinforcement learning to a problem in topology: the question of when a knot bounds a ribbon disk. This question is relevant in an approach to disproving the four-dimensional smooth Poincaré conjecture; using our programs, we rule out many potential counterexamples...

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Bibliographic Details
Main Authors: Sergei Gukov, James Halverson, Ciprian Manolescu, Fabian Ruehle
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:Machine Learning: Science and Technology
Subjects:
reinforcement learning
Bayesian optimization
knot theory
low-dimensional topology
Online Access:https://doi.org/10.1088/2632-2153/ade362
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https://doi.org/10.1088/2632-2153/ade362

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