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Frequency‑Aware Flow Matching for Continuous and Consistent Robotic Action Generation
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Proposes Frequency-Aware Flow Matching (FAFM), which runs flow matching over DCT coefficients of action chunks and adds a first-order derivative loss, yielding continuous, temporally smooth actions for standalone policies and VLAs.
Problem
Action-chunk flow-matching policies discretize trajectories, which makes them brittle to demonstrations at heterogeneous control frequencies and prone to temporally inconsistent, jittery actions.
Approach
Perform flow matching in a DCT cosine-basis coefficient space anchored to physical time so that trajectories at different frequencies map to the same targets, reconstruct continuous actions analytically, and add a derivative-matching loss that equals a weighted H^1 Sobolev penalty without extra parameters.
Key results
- On LapGym, FAFM reaches 97% SR on RT versus 94% for the best baseline (MPD), and -7.57 LDLJ vs -9.38 for MPD.
- On mixed-frequency LIBERO drawer, pi0 drops from 94% (single frequency) to 0% (mixed), while FAFM keeps 92% under both conditions.
- On real-robot pi0.5 tasks, FAFM gains +15% SR on pick-and-place and +10% on obstacle avoidance over the pi0.5 backbone.
Surprising findings
- Standard pi0 collapses from 94% to 0% success on a mixed-frequency version of the LIBERO drawer task with the same number of demonstrations.
Limitations
- Less effective for tasks needing high-frequency or impulsive actions due to DCT truncation.
- Many results are on small-scale or single-task settings (toy, obstacle avoidance, 20-episode real-robot evaluations).
- Real-robot results rely on 20 episodes per method.
Experimental setup
Datasets: LIBERO LapGym synthetic toy bimodal trajectories PyBullet obstacle avoidance demonstrations
Benchmarks: LIBERO LapGym synthetic toy bimodal benchmark PyBullet obstacle avoidance real-world Franka pick-and-place
Metrics: success rate LDLJ number of trajectory modes
Baselines: Diffusion Policy Flow Matching Policy Streaming Flow Policy FreqPolicy MPD pi0 pi0.5
Builds on: flow matching pi0 FAST Diffusion Policy MPD
Closest papers by meaning
- FlowPolicy: Enabling Fast and Robust 3D Flow-Based Policy via Consistency Flow Matching for Robot Manipulation (AAAI 2025 · similarity 0.91)
- FreqPolicy: Efficient Flow-based Visuomotor Policy via Frequency Consistency (NeurIPS 2025 · similarity 0.89)
- Generative Control as Optimization: Time Unconditional Flow Matching for Adaptive and Robust Robotic Control (NeurIPS 2026 · similarity 0.88)
- ReinFlow: Fine-tuning Flow Matching Policy with Online Reinforcement Learning (NeurIPS 2025 · similarity 0.87)
- FlowRAM: Grounding Flow Matching Policy with Region-Aware Mamba Framework for Robotic Manipulation (CVPR 2025 · similarity 0.87)
- Implicit Drifting Policy: One-Step Action Generation via Conditional Expert Geometry (NeurIPS 2026 · similarity 0.86)
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