Theoretical Guarantees for SMC-Guided Diffusion Sampling

arXiv:2607.04780 · stat.ML, cs.LG, math.PR · Submitted 2026-07-06 · Read on arXiv

SU, LPSM · LPSM · LPSM · LPSM

stat.ML, cs.LG, math.PR

Submitted: 2026-07-06

Updated: 2026-09-29

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

Terminology

• Benchmark — 11× in this paper · explained in 2 episodes
• Diffusion Model — 9× in this paper · explained in 10 episodes
• Diffusion Models — 8× in this paper · explained in 9 episodes
• Sequential Monte Carlo — 8× in this paper
• Generative Model — 5× in this paper · explained in 2 episodes
• Generative Models — 5× in this paper · explained in 3 episodes
• Inverse Problem — 4× in this paper · explained in 2 episodes
• Lyapunov function — 4× in this paper · explained in 2 episodes
• Score Function — 4× in this paper · explained in 4 episodes
• Sequential Monte Carlo (SMC) — 4× in this paper · explained in 2 episodes
• Error Decomposition — 3× in this paper · explained in 3 episodes
• Generative Modeling — 2× in this paper · explained in 3 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Diffusion Process — 1× in this paper · explained in 2 episodes
• Diffusion Processes — 1× in this paper · explained in 2 episodes
• Editor — 1× in this paper · explained in 2 episodes
• Latent Diffusion Model — 1× in this paper · explained in 2 episodes
• Latent Diffusion Models — 1× in this paper · explained in 2 episodes
• Monte Carlo Analysis — 1× in this paper · explained in 2 episodes
• Theoretical Guarantees — 1× in this paper · explained in 2 episodes
• Training Objective — 1× in this paper · explained in 2 episodes
• Variance Exploding — 1× in this paper
• Variance Preserving — 1× in this paper
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Yet another look at Harris' ergodic theorem for Markov chains
• On Forgetting and Stability of Score-based Generative models

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