An application of neural networks to a problem in knot theory and group theory (untangling braids)

Alexei Lisitsa; Mateo Salles; Alexei Vernitski

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arXiv · 2206.05373

An application of neural networks to a problem in knot theory and group theory (untangling braids)

Alexei Lisitsa·Mateo Salles·Alexei Vernitski

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Abstract

We report on our success on solving the problem of untangling braids up to length 20 and width 4. We use feed-forward neural networks in the framework of reinforcement learning to train the agent to choose Reidemeister moves to untangle braids in the minimal number of moves.

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Alexei Lisitsa, Mateo Salles, Alexei Vernitski. 2022-06-10. An application of neural networks to a problem in knot theory and group theory (untangling braids). https://arxiv.org/abs/2206.05373

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