ResearchResearch paperReinforcement Learning · Robotics & Embodied AI1 source · Oct 13, 2026

PrT-Flow: Probability-Tractable Flow Matching for Reinforcement Learning

We introduce PrT-Flow (Probability-Tractable Flow Matching), which computes probability density while retaining multimodal, multi-step action generation.

Key points

  • Diffusion models and Flow Matching can represent flexible distributions over robot actions, but many reinforcement learning algorithms also require the probability of each action.
  • We train these finite steps with Conditional Euler-step Training (CET), which supervises their displacement over one step during sampling rather than their instantaneous velocity.
  • PrT-Flow achieves 96% success on Robomimic Lift after 300 epochs of imitation learning, matching the diffusion policy reference, and 96% success on OGBench Cube-Triple after 600k online steps.
  • These results demonstrate that invertible networks with tractable probability densities can learn effective robot policies and support SAC-style actor-critic training.

Sources (1)

  • [1]PrT-Flow: Probability-Tractable Flow Matching for Reinforcement Learning
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 13, 03:51 AM
    We introduce PrT-Flow (Probability-Tractable Flow Matching), which computes probability density while retaining multimodal, multi-step action generation.
    Diffusion models and Flow Matching can represent flexible distributions over robot actions, but many reinforcement learning algorithms also require the probability of each action.

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