Dimension Space Geometry Optimization Algorithm
Jincheng Zhang
Abstract
This paper presents a novel algorithm for dimensionality reduction and optimization, leveraging a modified non-Euclidean geometry and quantum entanglement principles to achieve significant improvements in computational efficiency and data storage. Traditional geometric optimization methods struggle with high-dimensional data, necessitating complex and computationally intensive approaches. This paper introduces a new framework that utilizes quantum entanglement to facilitate instantaneous data mapping across a multi-dimensional space, enabling parallel processing and ultimately enhancing performance. We provide a detailed explanation of the algorithm's core concepts, the underlying mathematical framework, and preliminary results demonstrating its effectiveness.