High-Dimensional Non-Linear Geometric Topology Computational Efficiency Enhancement

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

High-dimensional non-linear geometric topology poses significant computational challenges, particularly in complex simulations and analysis. This paper investigates methods to enhance the computational efficiency of geometric computations, focusing on strategies leveraging quantum computing and approximation techniques. We explore novel optimization algorithms and approximation methods designed to reduce computational costs associated with key operations within high-dimensional non-linear geometry. The study examines the potential for these techniques to significantly improve the feasibility and scalability of geometric modeling and analysis. The core mechanism involves identifying and mitigating bottlenecks within the current computational landscape, ultimately aiming to provide a more efficient approach for handling complex geometric structures.

DOI: 10.5281/zenodo.22296022

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