Research Paper#Generative Modeling, Score-based Models, Energy-based Models🔬 ResearchAnalyzed: Jan 3, 2026 18:27
Energy-Tweedie: Extending Score and Energy Concepts
Analysis
This paper explores the relationship between denoising, score estimation, and energy models, extending Tweedie's formula to a broader class of distributions. It introduces a new identity connecting the derivative of an energy score to the score of the noisy marginal, offering potential applications in score estimation, noise distribution parameter estimation, and diffusion model samplers. The work's significance lies in its potential to improve and broaden the applicability of existing techniques in generative modeling.
Key Takeaways
- •Extends Tweedie's formula to energy models (elliptical distributions).
- •Introduces a new identity linking energy score derivatives to noisy marginal scores.
- •Potential applications in score estimation, noise distribution parameter estimation, and diffusion model samplers.
- •Offers a broader perspective on denoising and score estimation.
Reference
“The paper derives a fundamental identity that connects the (path-) derivative of a (possibly) non-Euclidean energy score to the score of the noisy marginal.”