Deep learning the hyperbolic volume of a knot

• DOI: 10.1016/j.physletb.2019.135033
• Publication Date: 2019-10-28T16:27:39Z
• Authors: Vishnu Jejjala; Arjun Kar; Onkar Parrikar
• Keywords: Jones polynomial; Knot polynomial; Knot complement; Alexander polynomial; Complement

An important conjecture in knot theory relates the large-N, double scaling limit of colored Jones polynomial JK,N(q) a K to hyperbolic volume complement, Vol(K). A less studied question is whether Vol(K) can be recovered directly from original (N=2). In this report we use deep neural network approximate polynomial. Our robust and correctly predicts with 97.6% accuracy when training on 10% data. This points existence more direct connection between