# Disentangling a Deep Learned Volume Formula

@article{Craven2020DisentanglingAD, title={Disentangling a Deep Learned Volume Formula}, author={Jessica Craven and Vishnu Jejjala and Arjun Kar}, journal={ArXiv}, year={2020}, volume={abs/2012.03955} }

We present a simple phenomenological formula which approximates the hyperbolic volume of a knot using only a single evaluation of its Jones polynomial at a root of unity. The average error is just 2.86% on the first 1.7 million knots, which represents a large improvement over previous formulas of this kind. To find the approximation formula, we use layer-wise relevance propagation to reverse engineer a black box neural network which achieves a similar average error for the same approximation…

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