Narrowing the gap between combinatorial and hyperbolic knot invariants via deep learning

Gruenbaum, Daniel (2022) Narrowing the gap between combinatorial and hyperbolic knot invariants via deep learning. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 31 (01): 2250003. ISSN 0218-2165, 1793-6527

Full text not available from this repository. (Request a copy)

Abstract

In this paper, 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.

Item Type: Article
Uncontrolled Keywords: ; Deep learning; knot invariants; exploratory data analysis
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Oct 2023 13:43
Last Modified: 17 Oct 2023 13:43
URI: https://pred.uni-regensburg.de/id/eprint/56495

Actions (login required)

View Item View Item