Score identity Distillation: Exponentially Fast Distillation of Pretrained Diffusion Models for One-Step Generation
On the map: Diffusion models → Diffusion foundations and sampling
Abstract (arXiv)
We introduce Score identity Distillation (SiD), an innovative data-free method that distills the generative capabilities of pretrained diffusion models into a single-step generator. SiD not only facilitates an exponentially fast reduction in Fr'echet inception distance (FID) during distillation but also approaches or even exceeds the FID performance of the original teacher diffusion models. By reformulating forward diffusion processes as semi-implicit distributions, we leverage three score-related identities to create an innovative loss mechanism. This mechanism achieves rapid FID reduction by training the generator using its own synthesized images, eliminating the need for real data or reverse-diffusion-based generation, all accomplished within significantly shortened generation time. Upon evaluation across four benchmark datasets, the SiD algorithm demonstrates high iteration efficiency during distillation and surpasses competing distillation approaches, whether they are one-step or few-step, data-free, or dependent on training data, in terms of generation quality. This achievement not only redefines the benchmarks for efficiency and effectiveness in diffusion distillation but also in the broader field of diffusion-based generation. The PyTorch implementation is available at https://github.com/mingyuanzhou/SiD
Key facts. Cited by 211 papers in the map (data through 7 Oct 2026). Placed in Diffusion foundations and sampling, one of 14 directions in Diffusion models. Builds on 71 of its 88 references that are in the map. First posted on arXiv 5 Apr 2024.
Builds on
71 of 88 references.
Closest ancestors · 35
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Other references · 36
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- 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flowcited by 3,550
- 2022DreamFusion: Text-to-3D using 2D Diffusioncited by 3,006
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- 2023On Penalty-based Bilevel Gradient Descent Methodcited by 87
- 2018Semi-Implicit Variational Inferencecited by 55
- 2019Semi-Implicit Graph Variational Auto-Encoderscited by 54
- 2017Assigning a value to a power likelihood in a general Bayesian modelcited by 46
- 2018Unbiased Implicit Variational Inferencecited by 33
- 2020Exploiting Chain Rule and Bayes' Theorem to Compare Probability Distributionscited by 22
- 2019Importance Weighted Hierarchical Variational Inferencecited by 20
- 2018Doubly Semi-Implicit Variational Inferencecited by 19
- 2023Semi-Implicit Variational Inference via Score Matchingcited by 19
- 2019Variational approximations using Fisher divergencecited by 12
- 2019Energy-Inspired Models: Learning with Sampler-Induced Distributionscited by 12
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