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ReinFlow: Fine-tuning Flow Matching Policy with Online Reinforcement Learning
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Proposes ReinFlow, an online PPO-based RL method that fine-tunes flow matching policies (Rectified Flow and Shortcut Models) by injecting learnable Gaussian noise to make the denoising chain a discrete-time Markov process with exact likelihoods, enabling fine-tuning at 1-4 denoising steps.
Problem
Flow matching policies are imitation-learned from mixed-quality data and lack exploration; their deterministic ODE sampling gives no tractable action likelihood for policy gradient RL, and discretization error grows at very few denoising steps.
Approach
Inject a learnable noise network into each Euler denoising step so the flow becomes a discrete-time Markov process with Gaussian transitions; this gives exact log-likelihoods for any number of steps, enabling a PPO policy gradient over the full denoising chain, with the noise net discarded after training.
Key results
- Rectified Flow policies gain an average 135.36% net reward growth after ReinFlow fine-tuning in legged locomotion tasks, with 82.63% less wall time than DPPO.
- Shortcut Model policies gain an average 40.34% success-rate increase in state and visual manipulation tasks at four or one denoising steps, comparable to fine-tuned DDIM policies.
- Across three Robomimic visual tasks, ReinFlow-S and ReinFlow-R improve pre-trained success rate by an average of 45.77%.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Fine-tune Rectified Flow policies with online RL | Pre-trained Rectified Flow policies · Locomotion tasks | episode reward: 135.36% | Helped |
| Fine-tune Shortcut Model policies with online RL | Pre-trained Shortcut Model policies · State and visual manipulation tasks | success rate: 40.34% | Helped |
| Condition the noise network on observations and time rather than only observations (ablation) | ReinFlow noise injection network · Ant and Kitchen-partial | success rate | Helped |
| Use moderate noise rather than small noise (ablation) | ReinFlow · Ant and Humanoid locomotion | reward: up to three times higher rewards | Helped |
| Reduce noise magnitude (ablation) | ReinFlow · Visuomotor policies, precision-critical tasks, longer denoising chains, and weakly pre-trained models | performance | Helped |
| Add entropy regularization instead of constraining the policy with W2 regularization (ablation) | ReinFlow · Locomotion tasks | reward | Helped |
| Reduce the W2 regularization coefficient (ablation) | ReinFlow · Locomotion tasks | reward | Helped |
| Increase pre-training data quantity or inference steps (ablation) | Pre-trained flow policies · Hopper-v2 and Square | reward | No clear effect |
| Fine-tune policies with ReinFlow across pre-training data scales (ablation) | Pre-trained flow policies · Hopper-v2 and Square | success rate or reward | Helped |
| Use beta time sampling rather than the default time sampling distribution (ablation) | Pre-trained flow policy fine-tuned with ReinFlow · One-denoising-step inference | performance | Helped |
Surprising findings
- Scaling pre-training data or denoising steps does not consistently improve reward, but RL fine-tuning consistently helps regardless of scale.
- The official FQL implementation lets gradients flow into the multi-step policy during one-step distillation, which can interfere with pretraining; the authors found multi-step FQL struggles to match BC reward.
Limitations
- On-policy PPO design is sample-inefficient, which matters for real-world RL.
- Performance is sensitive to noise magnitude, requiring manual tuning of noise bounds.
- Experiments use relatively small networks; scaling to large flow-based VLA models is untested.
Experimental setup
Datasets: D4RL DPPO behavior cloning datasets Franka Kitchen human teleoperated demonstrations Robomimic (DPPO-processed)
Benchmarks: OpenAI Gym Hopper OpenAI Gym Walker2d OpenAI Gym Ant OpenAI Gym Humanoid Franka Kitchen (complete, mixed, partial) Robomimic Can Robomimic Square Robomimic Transport
Metrics: episode reward success rate wall-clock time denoising steps
Baselines: DPPO FQL DDIM policy DQL IDQL DIPO QSM
Builds on: Rectified Flow Shortcut Models DPPO PPO Flow Q-Learning
Closest papers by meaning
- Aligning Flow Map Policies with Optimal $Q$-Guidance (NeurIPS 2026 · similarity 0.91)
- Flow-Based Policy for Online Reinforcement Learning (NeurIPS 2025 · similarity 0.90)
- Flow Matching for Offline Reinforcement Learning with Discrete Actions (NeurIPS 2026 · similarity 0.89)
- FlowPolicy: Enabling Fast and Robust 3D Flow-Based Policy via Consistency Flow Matching for Robot Manipulation (AAAI 2025 · similarity 0.89)
- ReFPO: Reflow Regularization for Flow Matching Policy Gradients (NeurIPS 2026 · similarity 0.89)
- PRECISE: SDE-Consistent Stochastic Sampling for RL Post-Training of Flow-Matching Models (NeurIPS 2026 · similarity 0.89)
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