Year: 2024
Type: conference-paper
Abstract: We present a novel application of transcendental equations for nonlinear distance optimization in hyperbolic space.Through asymptotic approximations using Fourier and Taylor series expansions, we obtain approximations for the transcendental equations with non-zero real values on the boundary λ.The series expansion of the logarithmic form of our equations around two arbitrary points P 1 and P 2 can be used to find values close to definite coordinates on λ.Applying principles from the Poincaré hyperbolic disk-a non-Euclidean space with constant negative curvature-we construct optimization methods following λ of our transcendental equations.
Authors: Pranav Kulkarni, Harmanjot Singh
Institution: Stanford University
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4401884918