English

Narrowing the Gap between Combinatorial and Hyperbolic Knot Invariants via Deep Learning

Geometric Topology 2022-04-28 v1

Abstract

We present a statistical approach for the discovery of relationships between mathematical entities that is based on linear regression and deep learning with fully connected artificial neural networks. The strategy is applied to computational knot data and empirical connections between combinatorial and hyperbolic knot invariants are revealed.

Keywords

Cite

@article{arxiv.2204.12885,
  title  = {Narrowing the Gap between Combinatorial and Hyperbolic Knot Invariants via Deep Learning},
  author = {Daniel Grünbaum},
  journal= {arXiv preprint arXiv:2204.12885},
  year   = {2022}
}

Comments

17 pages, 1 figure

R2 v1 2026-06-24T11:00:11.793Z