![Scale-Invariant Resonant Geodesic Dynamics in Latent Spaces: A Speculative Framework to Prevent Model Collapse in Synthetic Data Loops [D]](https://www.tweakedgeek.com/wp-content/uploads/2025/12/featured-article-7312-300x171.png)
Exploring the issue of model collapse in synthetic data recursion, a speculative framework suggests using scale-invariant resonant geodesic dynamics in latent spaces. Inspired by concepts from cosmology and wave turbulence, the framework proposes that current latent spaces lack intrinsic structure, leading to degeneration when models are trained recursively on their outputs. By introducing a resonant Riemannian metric and gated geodesic flow, the framework aims to preserve harmonic structures and prevent collapse by anchoring geodesics to a resonant skeleton. Additionally, a scale-invariant coherence score is proposed to predict model stability, offering a geometric interpretation of latent space dynamics and a potential path to more stable recursive training. This matters because it provides a novel approach to enhancing the robustness and reliability of machine learning models trained on synthetic data.
