Improved Score Function Estimation and Hessian Estimation
Analysis
Key Takeaways
- •Combines implicit and denoising score matching for improved score function estimation.
- •Achieves the same convergence rates as denoising score matching.
- •Enables estimation of log-density Hessians without the curse of dimensionality.
- •Justifies convergence of ODE-based samplers in generative diffusion models.
“The paper demonstrates that implicit score matching achieves the same rates of convergence as denoising score matching and allows for Hessian estimation without the curse of dimensionality.”