Score-based Diffusion Models via Stochastic Differential Equations -- a Technical Tutorial

• URL: http://arxiv.org/abs/2402.07487v2
• Date: Sat, 22 Jun 2024 14:31:33 GMT
• Title: Score-based Diffusion Models via Stochastic Differential Equations -- a Technical Tutorial
• Authors: Wenpin Tang, Hanyang Zhao,
• Abstract summary: This article focuses on the score-based diffusion models, with a particular focus on the formulation via differential equations (SDE) After a gentle introduction, we discuss the two pillars in the diffusion modeling -- sampling and score matching. Short proofs are given to illustrate the main idea of the stated results.
• Score: 5.217870815854702
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This is an expository article on the score-based diffusion models, with a particular focus on the formulation via stochastic differential equations (SDE). After a gentle introduction, we discuss the two pillars in the diffusion modeling -- sampling and score matching, which encompass the SDE/ODE sampling, score matching efficiency, the consistency models, and reinforcement learning. Short proofs are given to illustrate the main idea of the stated results. The article is primarily a technical introduction to the field, and practitioners may also find some analysis useful in designing new models or algorithms.

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