Feature Space Dimensional Reduction Based on Quantum Spin-Correlation Encoding
This study introduces a quantum-inspired framework for high-dimensional feature compression by encoding data pairs as parameters in a two-site spin-Hamiltonian system. Unlike traditional manifold learning techniques that suffer from “neighborhood tearing” at extreme compression ratios [1,2,5], the proposed method utilizes a ground-state solver to stabilize local topological structures. We evaluate the method’s performance across a gradient of 512 to 1 dimension using information-theoretic and ordinal metrics. Our results demonstrate a fundamental Dual-Phase behavior: (i) a High-Fidelity Spin Phase […]