Optimal Persistence Reveals Hidden Topology in High-Dimensional Landscapes: Simulation Data and Code

This dataset contains all simulation data and analysis code for the PRL paper "Optimal Persistence Reveals Hidden Topology in High-Dimensional Landscapes". Research Contents:- System sizes N = 16 to 1024- Temperatures T = 0.05, 0.10, 0.15, 0.30- Inverted-U curves of exploration efficiency Γ(τ_p)- τ_p* transitions from 10 to 5-6 when spectral gap ⟨Δλ⟩ drops below 0.1 File Structure:- Figures/: Data and scripts for Figures 1-3- End_Matter/: Supplementary Figures S1-S2, canyon animation, verification data- Simulation_Codes/: Complete simulation code Requirements: Python 3.9+, numpy, matplotlib DOI: 10.5281/zenodo.20123274 This work is licensed under CC BY 4.0.