From Global to Tail Convergence: Dynamics of alpha-Stable Score-Based Generative Models

arXiv:2610.19773 · cs.LG, math.PR, stat.ML · Submitted 2026-10-14 · Read on arXiv

cs.LG, math.PR, stat.ML

Submitted: 2026-10-14

Updated: 2026-10-14

Comments: 44 pages, 4 figures, 3 tables. Code: https://github.com/ainsi333/stable-sbgm-experiments

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Generative Model — 1× in this paper · explained in 2 episodes
• Generative Models — 1× in this paper · explained in 3 episodes
• alpha — 1× in this paper

Related papers

• Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation
• AIRL-S: Unifying Reinforcement Learning and Search-Based Test-Time Scaling via Adversarial Inverse Reinforcement Learning
• Transformers as Bayesian In-Context Experimenters: Smoothness-Adaptive Efficient ATE Estimation
• Convergence issues in Relational Concept Analysis based on AOC-posets
• Beliefs Beyond Posteriors: The Predictive Cost of ELBO Binding
• Understanding Diffusion Models via Ratio-Based Function Approximation with SignReLU Networks