Discrete Meanflow Training Curriculum

📅 2026-04-10
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🤖 AI Summary
Although the Meanflow model demonstrates strong performance in one-step and few-step sampling, its training incurs substantial computational and data costs. This work proposes a Discrete Meanflow (DMF) training framework that, for the first time, systematically incorporates discretization-based consistency properties into Meanflow training, establishing a self-consistent curriculum. By combining fine-tuning of a pretrained flow model with a discretized objective function, the method substantially reduces training overhead. Remarkably, with only 2,000 training iterations, it achieves a one-step sampling FID of 3.36 on CIFAR-10, significantly enhancing both training efficiency and practical applicability.

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📝 Abstract
Flow-based image generative models exhibit stable training and produce high quality samples when using multi-step sampling procedures. One-step generative models can produce high quality image samples but can be difficult to optimize as they often exhibit unstable training dynamics. Meanflow models exhibit excellent few-step sampling performance and tantalizing one-step sampling performance. Notably, MeanFlow models that achieve this have required extremely large training budgets. We significantly decrease the amount of computation and data budget it takes to train Meanflow models by noting and exploiting a particular discretization of the Meanflow objective that yields a consistency property which we formulate into a ``Discrete Meanflow''(DMF) Training Curriculum. Initialized with a pretrained Flow Model, DMF curriculum reaches one-step FID 3.36 on CIFAR-10 in only 2000 epochs. We anticipate that faster training curriculums of Meanflow models, specifically those fine-tuned from existing Flow Models, drives efficient training methods of future one-step examples.
Problem

Research questions and friction points this paper is trying to address.

Meanflow
one-step generation
training efficiency
flow-based models
discretization
Innovation

Methods, ideas, or system contributions that make the work stand out.

Discrete Meanflow
Training Curriculum
One-step Sampling
Flow-based Generative Models
Consistency Property
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