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TMPO: Trajectory Matching Policy Optimization for Diverse and Efficient Diffusion Alignment

Summary

Reinforcement learning alignment methods often suffer from reward hacking, reducing diversity. TMPO addresses this by matching trajectory-level reward distributions rather than maximizing scalar rewards. It introduces Softmax Trajectory Balance (Softmax-TB) and Dynamic Stochastic Tree Sampling, achieving a 9.1% improvement in generative diversity over state-of-the-art methods.

SourcearXiv Machine LearningAuthor: Jiaming Li, Chenyu Zhu, Zhiyuan Ma, Nanxi Yi, Youjun Bao, Li Sun, Quanying Lv, Xiang Fang, Daizong Liu, Jianjun Li, Kun He, Bowen Zhou
TMPO: Trajectory Matching Policy Optimization for Diverse and Efficient Diffusion Alignment
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[2605.10983] TMPO: Trajectory Matching Policy Optimization for Diverse and Efficient Diffusion Alignment

[Submitted on 9 May 2026]

Title:TMPO: Trajectory Matching Policy Optimization for Diverse and Efficient Diffusion Alignment

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Abstract:Reinforcement learning (RL) has shown extraordinary potential in aligning diffusion models to downstream tasks, yet most of them still suffer from significant reward hacking, which degrades generative diversity and quality by inducing visual mode collapse and amplifying unreliable rewards. We identify the root cause as the mode-seeking nature of these methods, which maximize expected reward without effectively constraining probability distribution over acceptable trajectories, causing concentration on a few high-reward paths. In contrast, we propose Trajectory Matching Policy Optimization (TMPO), which replaces scalar reward maximization with trajectory-level reward distribution matching. Specifically, TMPO introduces a Softmax Trajectory Balance (Softmax-TB) objective to match the policy probabilities of K trajectories to a reward-induced Boltzmann distribution. We prove that this objective inherits the mode-covering property of forward KL divergence, preserving coverage over all acceptable trajectories while optimizing reward. To further reduce multi-trajectory training time on large-scale flow-matching models, TMPO incorporates Dynamic Stochastic Tree Sampling, where trajectories share denoising prefixes and branch at dynamically scheduled steps, reducing redundant computation while improving training effectiveness. Extensive results across diverse alignment tasks such as human preference, compositional generation and text rendering show that TMPO improves generative diversity over state-of-the-art methods by 9.1%, and achieves competitive performance in all downstream and efficiency metrics, attaining the optimal trade-off between reward and diversity.

Subjects:

Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Computer Vision and Pattern Recognition (cs.CV)

Cite as: arXiv:2605.10983 [cs.LG]

(or arXiv:2605.10983v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2605.10983

arXiv-issued DOI via DataCite

Submission history

From: Jiaming Li [view email] [v1] Sat, 9 May 2026 04:41:02 UTC (6,233 KB)

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Key points and analysis

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Key points

  • TMPO replaces scalar reward maximization with trajectory-level reward distribution matching.
  • Softmax-TB objective preserves coverage over acceptable trajectories while optimizing reward.
  • Dynamic Stochastic Tree Sampling reduces computational cost for large-scale models.
  • TMPO achieves 9.1% higher generative diversity and optimal reward-diversity trade-off.

Highlights and analysis are generated automatically and may contain errors. Check the original source.