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

06/10/2022

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by   Alexei Lisitsa, et al.

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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.