MeanFlowNFT: Bringing Forward-Process RL to Average-Velocity Generators

This paper introduces a new method called MeanFlowNFT that improves the efficiency of generating images and videos by using average velocities instead of instantaneous ones. This approach allows for faster sampling, making it easier to create high-quality content quickly.

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Key Takeaways
  1. 1 DiffusionNFT performs online RL directly on the forward process by contrasting positive and negative generations to form an implicit policy-improvement direction and folding rewards into a flow-matching objective.
  2. 2 A MeanFlow network yields an induced instantaneous-velocity predictor, to which we apply the DiffusionNFT-style objective during RL training.
  3. 3 We propose MeanFlowNFT, which applies the DiffusionNFT-style objective to an induced instantaneous-velocity predictor derived from the average-velocity network.
  4. 4 Now, we apply a DiffusionNFT-style objective to V \u03b8 to reinforce the underlying average velocity u \u03b8 (x t , s, t).

Introduction

Diffusion and flow models dominate high-quality image and video generation. MeanFlow removes this bottleneck by predicting average velocity over a time interval, allowing one or a few steps to suffice.

This few-step efficiency makes MeanFlow a practical deployment target.

Figure 2 shows qualitative comparisons on SD3.5-M for Flow-GRPO, DiffusionNFT, AnyFlow, and MeanFlowNFT generating a frosted donut with a bite out of it.

Important Note

In short, both directions lie outside the scope of this paper, and we leave them to future work.

Methodology

Replacing the intractable target with the conditional velocity v t gives a trainable regression target. DiffusionNFT is an online diffusion RL method built on the forward-process Flow Matching objective rather than on policy gradients through a discretized reverse sampler.

Study Design

Remarkably, with only 4 sampling steps MeanFlowNFT already matches or exceeds the 40-step forward-process RL method DiffusionNFT on several reward metrics at 10\u00d7 fewer function evaluations.

In this work, we presented MeanFlowNFT, the first forward-process RL method tailored for MeanFlow models.

Results & Findings

They synthesize samples by integrating instantaneous velocity over many sequential steps, which slows generation. Appendix G provides more visual results.

  • They synthesize samples by integrating instantaneous velocity over many sequential steps, which slows generation.
  • Appendix G provides more visual results.
  • This raises the question of whether we can finetune a pretrained MeanFlow model with efficient forward-process RL for superior few-step generation.
  • The trainable and reference predictors share the same estimate, computed along the forward-process conditional velocity.
  • Comprehensive experiments show that MeanFlowNFT consistently improves MeanFlow baselines and outperforms prior few-step methods.
Important Note

Comprehensive experiments show that MeanFlowNFT consistently improves MeanFlow baselines and outperforms prior few-step methods.

Important Note

In each case, the MeanFlow policy is obtained by distilling the base model with AnyFlow.

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Flow Matching

Flow Matching is explained as a method that learns a probability-flow ODE to transport Gaussian noise to the data distribution. The section details the training of a velocity predictor and the challenges associated with integrating generative ODEs.

MeanFlow

MeanFlow is introduced as a method that predicts average velocity over time intervals, allowing for fewer sampling steps. The section discusses the MeanFlow identity and the training process for the MeanFlow network, emphasizing its efficiency in sampling.

DiffusionNFT

DiffusionNFT is presented as an online RL method that operates on the forward process rather than relying on reverse sampling. The section outlines the optimality partition and reinforcement guidance mechanisms that enhance the performance of generative models.

Figures Explained

The paper’s visual material highlights the workflow and the main system components.

  • Figure 2: Qualitative comparisons on SD3.5-M.. This figure visually demonstrates the performance differences between various generative models, highlighting the efficiency of MeanFlowNFT.

Limitations and Cautions

A useful limitation and caution is that this article summarizes the available paper text and extracted evidence; readers should consult the source paper before treating any interpretation as definitive.

The paper’s conclusions may depend on its source selection, definitions, assumptions, and the scope of its analysis, so follow-up reading is important.

Research Question

DiffusionNFT performs online RL directly on the forward process by contrasting positive and negative generations to form an implicit policy-improvement direction and folding rewards into a flow-matching objective. A MeanFlow network yields an induced instantaneous-velocity predictor, to which we apply the DiffusionNFT-style objective during RL training.

The objective never acts on the average velocity explicitly.

We propose MeanFlowNFT, which applies the DiffusionNFT-style objective to an induced instantaneous-velocity predictor derived from the average-velocity network.

Preliminaries

This section defines key notations used throughout the paper, including noised samples, conditioning prompts, average velocities, and instantaneous velocity fields, providing a foundation for understanding the subsequent discussions.

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Frequently Asked Questions

DiffusionNFT performs online RL directly on the forward process by contrasting positive and negative generations to form an implicit policy-improvement direction and folding rewards into a flow-matching objective. A MeanFlow network yields an induced instantaneous-velocity predictor, to which we apply the DiffusionNFT-style.

Replacing the intractable target with the conditional velocity v t gives a trainable regression target. DiffusionNFT is an online diffusion RL method built on the forward-process Flow Matching objective rather than on policy gradients through a discretized reverse sampler.

Comprehensive experiments show that MeanFlowNFT consistently improves MeanFlow baselines and outperforms prior few-step methods. In each case, the MeanFlow policy is obtained by distilling the base model with AnyFlow.

The overall pipeline is depicted in Figure 3 and gives two key benefits. Therefore the MeanFlow policy induced by u \u03b8 * coincides with \u03c0 + , and consequently J(\u03c0 \u03b8 * ) = J(\u03c0 + ) > J(\u03c0 old ).

In short, both directions lie outside the scope of this paper, and we leave them to future work.

This paper introduces a new method called MeanFlowNFT that improves the efficiency of generating images and videos by using average velocities instead of instantaneous ones. This approach allows for faster sampling, making it easier to create high-quality content quickly.

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