Numerical Exploration of the Pythagorean Theorem Using HOBO Algorithm
Optimization and Control
2024-08-22 v1
Abstract
This paper introduces a novel method for finding integer sets that satisfy the Pythagorean theorem by leveraging the Higher-Order Binary Optimization (HOBO) formulation. Unlike the Quadratic Unconstrained Binary Optimization (QUBO) formulation, which struggles to express complex mathematical equations, HOBO's ability to model higher-order interactions between binary variables makes it well-suited for addressing more complex and expressive problem settings.
Cite
@article{arxiv.2408.11076,
title = {Numerical Exploration of the Pythagorean Theorem Using HOBO Algorithm},
author = {Shoya Yasuda and Naoaki Mochida and Shunsuke Sotobayashi and Devanshu Garg and Yuichiro Minato},
journal= {arXiv preprint arXiv:2408.11076},
year = {2024}
}