mlsanityData to 7 Oct 2026

OMP: One-step Meanflow Policy with Directional Alignment

arXiv 2512.19347 ↗First posted 22 Dec 2025cs.ROcited by 4

On the map: Diffusion models → Diffusion and flow policies for robotics

Abstract (arXiv)

Robot manipulation has increasingly adopted data-driven generative policy frameworks, yet the field faces a persistent trade-off: diffusion models suffer from high inference latency, while flow-based methods often require complex architectural constraints. Although in image generation domain, the MeanFlow paradigm offers a path to single-step inference, its direct application to robotics is impeded by critical theoretical pathologies, specifically spectral bias and gradient starvation in low-velocity regimes. To overcome these limitations, we propose the One-step MeanFlow Policy (OMP), a novel framework designed for high-fidelity, real-time manipulation. We introduce a lightweight directional alignment mechanism to explicitly synchronize predicted velocities with true mean velocities. Furthermore, we implement a Differential Derivation Equation (DDE) to approximate the Jacobian-Vector Product (JVP) operator, which decouples forward and backward passes to significantly reduce memory complexity. Extensive experiments on the Adroit and Meta-World benchmarks demonstrate that OMP outperforms state-of-the-art methods in success rate and trajectory accuracy, particularly in high-precision tasks, while retaining the efficiency of single-step generation.

Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Placed in Diffusion and flow policies for robotics, one of 14 directions in Diffusion models. Builds on 53 of its 57 references that are in the map. First posted on arXiv 22 Dec 2025.

Builds on

53 of 57 references.

Closest ancestors · 18

Same direction, newest first

  1. 2025AsyncVLA: Asynchronous Flow Matching for Vision-Language-Action Models18 Nov
  2. 2025World4RL: Diffusion World Models for Policy Refinement with Reinforcement Learning for Robotic Manipulation23 Sep
  3. 20253D Flow Diffusion Policy: Visuomotor Policy Learning via Generating Flow in 3D Space23 Sep
  4. 2025ManiFlow: A General Robot Manipulation Policy via Consistency Flow Training1 Sep
  5. 2025FlowRAM: Grounding Flow Matching Policy with Region-Aware Mamba Framework for Robotic Manipulation19 Jun
  6. 2025ReinFlow: Fine-tuning Flow Matching Policy with Online Reinforcement Learning28 May
  7. 2025Streaming Flow Policy: Simplifying diffusion/flow-matching policies by treating action trajectories as flow trajectories28 May
  8. 2025Action Flow Matching for Continual Robot Learning25 Apr
  9. 2025MTDP: A Modulated Transformer based Diffusion Policy Model13 Feb
  10. 2024FlowPolicy: Enabling Fast and Robust 3D Flow-based Policy via Consistency Flow Matching for Robot Manipulation6 Dec
  11. 2024One-Step Diffusion Policy: Fast Visuomotor Policies via Diffusion Distillation28 Oct
  12. 2024RDT-1B: a Diffusion Foundation Model for Bimanual Manipulation10 Oct
6 more
  1. 2024Equivariant Diffusion Policy1 Jul
  2. 2024EquiBot: SIM(3)-Equivariant Diffusion Policy for Generalizable and Data Efficient Learning1 Jul
  3. 2024ManiCM: Real-time 3D Diffusion Policy via Consistency Model for Robotic Manipulation3 Jun
  4. 2024Consistency Policy: Accelerated Visuomotor Policies via Consistency Distillation13 May
  5. 2024Hierarchical Diffusion Policy for Kinematics-Aware Multi-Task Robotic Manipulation6 Mar
  6. 2023Diffusion Policy: Visuomotor Policy Learning via Action Diffusion7 Mar

Other references · 35

  1. 2022Flow Matching for Generative Modelingcited by 5,426
  2. 2024Scaling Rectified Flow Transformers for High-Resolution Image Synthesiscited by 4,094
  3. 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flowcited by 3,550
  4. 2023Consistency Modelscited by 1,778
  5. 2023Learning Fine-Grained Bimanual Manipulation with Low-Cost Hardwarecited by 1,490
  6. 2019Meta-World: A Benchmark and Evaluation for Multi-Task and Meta Reinforcement Learningcited by 1,168
  7. 2017Learning Complex Dexterous Manipulation with Deep Reinforcement Learning and Demonstrationscited by 685
  8. 2024Representation Alignment for Generation: Training Diffusion Transformers Is Easier Than You Thinkcited by 666
  9. 2024Movie Gen: A Cast of Media Foundation Modelscited by 614
  10. 2022Perceiver-Actor: A Multi-Task Transformer for Robotic Manipulationcited by 545
  11. 2025Mean Flows for One-step Generative Modelingcited by 524
  12. 2023InstaFlow: One Step is Enough for High-Quality Diffusion-Based Text-to-Image Generationcited by 387
23 more
  1. 2023RVT: Robotic View Transformer for 3D Object Manipulationcited by 224
  2. 2025Ctrl-World: A Controllable Generative World Model for Robot Manipulationcited by 149
  3. 2024Scaling Proprioceptive-Visual Learning with Heterogeneous Pre-trained Transformerscited by 145
  4. 2023Act3D: 3D Feature Field Transformers for Multi-Task Robotic Manipulationcited by 135
  5. 2024RVT-2: Learning Precise Manipulation from Few Demonstrationscited by 135
  6. 2024RoboMamba: Efficient Vision-Language-Action Model for Robotic Reasoning and Manipulationcited by 102
  7. 2024Consistency Flow Matching: Defining Straight Flows with Velocity Consistencycited by 101
  8. 2025Diffuse and Disperse: Image Generation with Representation Regularizationcited by 67
  9. 2025ReWiND: Language-Guided Rewards Teach Robot Policies without New Demonstrationscited by 52
  10. 2024AdaFlow: Imitation Learning with Variance-Adaptive Flow-Based Policiescited by 50
  11. 2025Novel Demonstration Generation with Gaussian Splatting Enables Robust One-Shot Manipulationcited by 45
  12. 2024Instant Policy: In-Context Imitation Learning via Graph Diffusioncited by 38
  13. 2025GWM: Towards Scalable Gaussian World Models for Robotic Manipulationcited by 37
  14. 2025FastTD3: Simple, Fast, and Capable Reinforcement Learning for Humanoid Controlcited by 32
  15. 2025MP1: MeanFlow Tames Policy Learning in 1-step for Robotic Manipulationcited by 32
  16. 2025Transition Models: Rethinking the Generative Learning Objectivecited by 32
  17. 2022Understanding Gradient Regularization in Deep Learning: Efficient Finite-Difference Computation and Implicit Biascited by 16
  18. 2025PointMapPolicy: Structured Point Cloud Processing for Multi-Modal Imitation Learningcited by 10
  19. 2025DM1: MeanFlow with Dispersive Regularization for 1-Step Robotic Manipulationcited by 8
  20. 2024MATCH POLICY: A Simple Pipeline from Point Cloud Registration to Manipulation Policiescited by 6
  21. 2025Human-in-the-loop Online Rejection Sampling for Robotic Manipulationcited by 5
  22. 2025Generalizable Coarse-to-Fine Robot Manipulation via Language-Aligned 3D Keypointscited by 3
  23. 2025LaGEA: Language Guided Embodied Agents for Robotic Manipulationcited by 2

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 4.

4 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026OGPO: One-Step Generative Policy Optimization for Real-Time Robot Control
  2. 2026Kinematic MeanFlow: One-Step Action Generation Policy for Robotic Foundation Models
  3. 2026One-Step Flow Policy: Self-Distillation for Fast Visuomotor Policies
  4. 2024ActionFlow: Equivariant, Accurate, and Efficient Policies with Spatially Symmetric Flow Matching
  5. 2025EfficientFlow: Efficient Equivariant Flow Policy Learning for Embodied AI
  6. 2026ElasticFlow: One-Step Physics-Consistent Policy with Elastic Time Horizons for Language-Guided Manipulation
  7. 2025VFP: Variational Flow-Matching Policy for Multi-Modal Robot Manipulation
  8. 2026KoopmanFlow: Spectrally Decoupled Generative Control Policy via Koopman Structural Bias ↗