MP1: MeanFlow Tames Policy Learning in 1-step for Robotic Manipulation
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Abstract (arXiv)
In robot manipulation, robot learning has become a prevailing approach. However, generative models within this field face a fundamental trade-off between the slow, iterative sampling of diffusion models and the architectural constraints of faster Flow-based methods, which often rely on explicit consistency losses. To address these limitations, we introduce MP1, which pairs 3D point-cloud inputs with the MeanFlow paradigm to generate action trajectories in one network function evaluation (1-NFE). By directly learning the interval-averaged velocity via the "MeanFlow Identity", our policy avoids any additional consistency constraints. This formulation eliminates numerical ODE-solver errors during inference, yielding more precise trajectories. MP1 further incorporates CFG for improved trajectory controllability while retaining 1-NFE inference without reintroducing structural constraints. Because subtle scene-context variations are critical for robot learning, especially in few-shot learning, we introduce a lightweight Dispersive Loss that repels state embeddings during training, boosting generalization without slowing inference. We validate our method on the Adroit and Meta-World benchmarks, as well as in real-world scenarios. Experimental results show MP1 achieves superior average task success rates, outperforming DP3 by 10.2% and FlowPolicy by 7.3%. Its average inference time is only 6.8 ms-19x faster than DP3 and nearly 2x faster than FlowPolicy. Our project page is available at https://mp1-2254.github.io/, and the code can be accessed at https://github.com/LogSSim/MP1.
Key facts. Cited by 35 papers in the map (data through 14 Oct 2026). First posted on arXiv 14 Jul 2025.
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Citing papers per year: 2025: 7; 2026: 28.
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- 2025Much Ado About Noising: Dispelling the Myths of Generative Robotic Controlcited by 36
- 2025VITA: Vision-to-Action Flow Matching Policycited by 25
- 2025One-Step Flow Policy Mirror Descentcited by 21
- 2026FASTER: Rethinking Real-Time Flow VLAscited by 21
- 2025One-Step Generative Policies with Q-Learning: A Reformulation of MeanFlowcited by 18
- 2026MeanFuser: Fast One-Step Multi-Modal Trajectory Generation and Adaptive Reconstruction via MeanFlow for End-to-End Autonomous Drivingcited by 13
- 2025DM1: MeanFlow with Dispersive Regularization for 1-Step Robotic Manipulationcited by 8
- 2026STEP: Warm-Started Visuomotor Policies with Spatiotemporal Consistency Predictioncited by 7
- 2026Mean-Flow based One-Step Vision-Language-Actioncited by 7
- 2026One-Step Flow Policy: Self-Distillation for Fast Visuomotor Policiescited by 7
- 2026Drift-Based Policy Optimization: Native One-Step Policy Learning for Online Robot Controlcited by 5
- 2025EfficientFlow: Efficient Equivariant Flow Policy Learning for Embodied AIcited by 4
23 more
- 2025OMP: One-step Meanflow Policy with Directional Alignmentcited by 4
- 2026HeRO: Hierarchical 3D Semantic Representation for Pose-aware Object Manipulationcited by 3
- 2026Hyper-DP3: Frequency-Aware Right-Sizing of 3D Diffusion Policies for Visuomotor Controlcited by 3
- 2026Drifting Field Policy: A One-Step Generative Policy via Wasserstein Gradient Flowcited by 3
- 2026FA-RDP: A Frequency-Adaptive Reactive Diffusion Policy for Contact-Rich Manipulationcited by 3
- 2026Latent Policy Steering through One-Step Flow Policiescited by 2
- 2026Ada3Drift: Adaptive Training-Time Drifting for One-Step 3D Visuomotor Robotic Manipulationcited by 2
- 2026Drift Flow Matchingcited by 2
- 2026Where Should Action Generation Begin? A Learnable Source Prior for Generative Robot Policiescited by 2
- 2026DriftingVLA: Native One-Step Vision-Language-Action Generation via Per-Dimension Temporal Driftingcited by 2
- 2026Decoupling Vision, Language, and Action for Efficient Multi-Task Robot Policiescited by 2
- 2026DEFLECT: Temporal Counterfactual Preference Learning for Delay-Robust Asynchronous VLAscited by 1
- 2026Implicit Drifting Policy: One-Step Action Generation via Conditional Expert Geometrycited by 1
- 2026High-Fidelity One-Step Generative Visuomotor Policy via Recursive Correction, Frequency Consistency, and Contrastive Flow Matchingcited by 1
- 2026SUN: Agentic Robot Policy Learning with Persistent Task Programscited by 1
- 2026KAN We Flow? Advancing Robotic Manipulation with 3D Flow Matching via KAN & RWKVcited by 0
- 2026HybridFlow: A 2-NFE Generative Policy for Real-Time Robotic Manipulationcited by 0
- 2026Discrete MeanFlow: One-Step Generation via Conditional Transition Kernelscited by 0
- 2026NavCMPO: Critic-Guided MeanFlow Policy Optimization for Adaptive Navigationcited by 0
- 2026Faster Visuomotor Policy Learning on Action Manifolds via Riemannian MeanFlowcited by 0
- 2026Kinematic MeanFlow: One-Step Action Generation Policy for Robotic Foundation Modelscited by 0
- 2026FastOPD: On-Policy Distillation for Lightweight VLA Deploymentcited by 0
- 2026Adaptive Mean Flow for Responsive Closed-Loop Robot Controlcited by 0
- 2026Adaptive Mean Flow for Responsive Closed-Loop Robot Control5 Oct 2026
- 2026FastOPD: On-Policy Distillation for Lightweight VLA Deployment2 Oct 2026
- 2026Kinematic MeanFlow: One-Step Action Generation Policy for Robotic Foundation Models1 Oct 2026
- 2026Faster Visuomotor Policy Learning on Action Manifolds via Riemannian MeanFlow24 Sep 2026
- 2026Decoupling Vision, Language, and Action for Efficient Multi-Task Robot Policies16 Sep 2026
- 2026SUN: Agentic Robot Policy Learning with Persistent Task Programs31 Aug 2026
- 2026DriftingVLA: Native One-Step Vision-Language-Action Generation via Per-Dimension Temporal Drifting30 Aug 2026
- 2026FA-RDP: A Frequency-Adaptive Reactive Diffusion Policy for Contact-Rich Manipulation30 Jul 2026
- 2026NavCMPO: Critic-Guided MeanFlow Policy Optimization for Adaptive Navigation16 Jul 2026
- 2026High-Fidelity One-Step Generative Visuomotor Policy via Recursive Correction, Frequency Consistency, and Contrastive Flow Matching4 Jul 2026
- 2026Where Should Action Generation Begin? A Learnable Source Prior for Generative Robot Policies16 Jun 2026
- 2026Implicit Drifting Policy: One-Step Action Generation via Conditional Expert Geometry31 May 2026
23 more
- 2026DEFLECT: Temporal Counterfactual Preference Learning for Delay-Robust Asynchronous VLAs19 May 2026
- 2026Drift Flow Matching17 May 2026
- 2026Discrete MeanFlow: One-Step Generation via Conditional Transition Kernels12 May 2026
- 2026Drifting Field Policy: A One-Step Generative Policy via Wasserstein Gradient Flow8 May 2026
- 2026Hyper-DP3: Frequency-Aware Right-Sizing of 3D Diffusion Policies for Visuomotor Control2 May 2026
- 2026Drift-Based Policy Optimization: Native One-Step Policy Learning for Online Robot Control4 Apr 2026
- 2026FASTER: Rethinking Real-Time Flow VLAs19 Mar 2026
- 2026One-Step Flow Policy: Self-Distillation for Fast Visuomotor Policies12 Mar 2026
- 2026Ada3Drift: Adaptive Training-Time Drifting for One-Step 3D Visuomotor Robotic Manipulation12 Mar 2026
- 2026Latent Policy Steering through One-Step Flow Policies5 Mar 2026
- 2026Mean-Flow based One-Step Vision-Language-Action2 Mar 2026
- 2026MeanFuser: Fast One-Step Multi-Modal Trajectory Generation and Adaptive Reconstruction via MeanFlow for End-to-End Autonomous Driving23 Feb 2026
- 2026HeRO: Hierarchical 3D Semantic Representation for Pose-aware Object Manipulation21 Feb 2026
- 2026HybridFlow: A 2-NFE Generative Policy for Real-Time Robotic Manipulation14 Feb 2026
- 2026STEP: Warm-Started Visuomotor Policies with Spatiotemporal Consistency Prediction9 Feb 2026
- 2026KAN We Flow? Advancing Robotic Manipulation with 3D Flow Matching via KAN & RWKV1 Feb 2026
- 2025OMP: One-step Meanflow Policy with Directional Alignment22 Dec 2025
- 2025EfficientFlow: Efficient Equivariant Flow Policy Learning for Embodied AI1 Dec 2025
- 2025Much Ado About Noising: Dispelling the Myths of Generative Robotic Control1 Dec 2025
- 2025One-Step Generative Policies with Q-Learning: A Reformulation of MeanFlow17 Nov 2025
- 2025DM1: MeanFlow with Dispersive Regularization for 1-Step Robotic Manipulation9 Oct 2025
- 2025One-Step Flow Policy Mirror Descent31 Jul 2025
- 2025VITA: Vision-to-Action Flow Matching Policy17 Jul 2025
- 2025VITA: Vision-to-Action Flow Matching Policycited by 25
- 2025One-Step Flow Policy Mirror Descentcited by 21
- 2026STEP: Warm-Started Visuomotor Policies with Spatiotemporal Consistency Predictioncited by 7
- 2026One-Step Flow Policy: Self-Distillation for Fast Visuomotor Policiescited by 7
- 2026Drift-Based Policy Optimization: Native One-Step Policy Learning for Online Robot Controlcited by 5
- 2025OMP: One-step Meanflow Policy with Directional Alignmentcited by 4
- 2026Hyper-DP3: Frequency-Aware Right-Sizing of 3D Diffusion Policies for Visuomotor Controlcited by 3
- 2026FA-RDP: A Frequency-Adaptive Reactive Diffusion Policy for Contact-Rich Manipulationcited by 3
- 2026Drift Flow Matchingcited by 2
- 2026Implicit Drifting Policy: One-Step Action Generation via Conditional Expert Geometrycited by 1
- 2026High-Fidelity One-Step Generative Visuomotor Policy via Recursive Correction, Frequency Consistency, and Contrastive Flow Matchingcited by 1
- 2026KAN We Flow? Advancing Robotic Manipulation with 3D Flow Matching via KAN & RWKVcited by 0
12 most cited of 15 All 15 (JSON)
- 2026Kinematic MeanFlow: One-Step Action Generation Policy for Robotic Foundation Models1 Oct 2026
- 2026Faster Visuomotor Policy Learning on Action Manifolds via Riemannian MeanFlow24 Sep 2026
- 2026FA-RDP: A Frequency-Adaptive Reactive Diffusion Policy for Contact-Rich Manipulation30 Jul 2026
- 2026High-Fidelity One-Step Generative Visuomotor Policy via Recursive Correction, Frequency Consistency, and Contrastive Flow Matching4 Jul 2026
- 2026Implicit Drifting Policy: One-Step Action Generation via Conditional Expert Geometry31 May 2026
- 2026Drift Flow Matching17 May 2026
- 2026Discrete MeanFlow: One-Step Generation via Conditional Transition Kernels12 May 2026
- 2026Hyper-DP3: Frequency-Aware Right-Sizing of 3D Diffusion Policies for Visuomotor Control2 May 2026
- 2026Drift-Based Policy Optimization: Native One-Step Policy Learning for Online Robot Control4 Apr 2026
- 2026One-Step Flow Policy: Self-Distillation for Fast Visuomotor Policies12 Mar 2026
- 2026STEP: Warm-Started Visuomotor Policies with Spatiotemporal Consistency Prediction9 Feb 2026
- 2026KAN We Flow? Advancing Robotic Manipulation with 3D Flow Matching via KAN & RWKV1 Feb 2026
12 newest of 15 All 15 (JSON)
- 2026FASTER: Rethinking Real-Time Flow VLAscited by 21
- 2026Mean-Flow based One-Step Vision-Language-Actioncited by 7
- 2026DriftingVLA: Native One-Step Vision-Language-Action Generation via Per-Dimension Temporal Driftingcited by 2
- 2026DEFLECT: Temporal Counterfactual Preference Learning for Delay-Robust Asynchronous VLAscited by 1
- 2026FastOPD: On-Policy Distillation for Lightweight VLA Deploymentcited by 0
- 2026FastOPD: On-Policy Distillation for Lightweight VLA Deployment2 Oct 2026
- 2026DriftingVLA: Native One-Step Vision-Language-Action Generation via Per-Dimension Temporal Drifting30 Aug 2026
- 2026DEFLECT: Temporal Counterfactual Preference Learning for Delay-Robust Asynchronous VLAs19 May 2026
- 2026FASTER: Rethinking Real-Time Flow VLAs19 Mar 2026
- 2026Mean-Flow based One-Step Vision-Language-Action2 Mar 2026
- 2025One-Step Generative Policies with Q-Learning: A Reformulation of MeanFlowcited by 18
- 2026HeRO: Hierarchical 3D Semantic Representation for Pose-aware Object Manipulationcited by 3
- 2026Latent Policy Steering through One-Step Flow Policiescited by 2
- 2026Adaptive Mean Flow for Responsive Closed-Loop Robot Controlcited by 0
- 2026Adaptive Mean Flow for Responsive Closed-Loop Robot Control5 Oct 2026
- 2026Latent Policy Steering through One-Step Flow Policies5 Mar 2026
- 2026HeRO: Hierarchical 3D Semantic Representation for Pose-aware Object Manipulation21 Feb 2026
- 2025One-Step Generative Policies with Q-Learning: A Reformulation of MeanFlow17 Nov 2025
- 2025Much Ado About Noising: Dispelling the Myths of Generative Robotic Controlcited by 36
- 2025DM1: MeanFlow with Dispersive Regularization for 1-Step Robotic Manipulationcited by 8
- 2025EfficientFlow: Efficient Equivariant Flow Policy Learning for Embodied AIcited by 4
- 2026Drifting Field Policy: A One-Step Generative Policy via Wasserstein Gradient Flowcited by 3
- 2026Ada3Drift: Adaptive Training-Time Drifting for One-Step 3D Visuomotor Robotic Manipulationcited by 2
- 2026Where Should Action Generation Begin? A Learnable Source Prior for Generative Robot Policiescited by 2
- 2026SUN: Agentic Robot Policy Learning with Persistent Task Programscited by 1
- 2026HybridFlow: A 2-NFE Generative Policy for Real-Time Robotic Manipulationcited by 0
- 2026SUN: Agentic Robot Policy Learning with Persistent Task Programs31 Aug 2026
- 2026Where Should Action Generation Begin? A Learnable Source Prior for Generative Robot Policies16 Jun 2026
- 2026Drifting Field Policy: A One-Step Generative Policy via Wasserstein Gradient Flow8 May 2026
- 2026Ada3Drift: Adaptive Training-Time Drifting for One-Step 3D Visuomotor Robotic Manipulation12 Mar 2026
- 2026HybridFlow: A 2-NFE Generative Policy for Real-Time Robotic Manipulation14 Feb 2026
- 2025EfficientFlow: Efficient Equivariant Flow Policy Learning for Embodied AI1 Dec 2025
- 2025Much Ado About Noising: Dispelling the Myths of Generative Robotic Control1 Dec 2025
- 2025DM1: MeanFlow with Dispersive Regularization for 1-Step Robotic Manipulation9 Oct 2025
Similar, not cited
Close in wording, no citation either way
- 2026OGPO: One-Step Generative Policy Optimization for Real-Time Robot Control
- 2024FlowPolicy: Enabling Fast and Robust 3D Flow-based Policy via Consistency Flow Matching for Robot Manipulation
- 2024ActionFlow: Equivariant, Accurate, and Efficient Policies with Spatially Symmetric Flow Matching
- 2026CoLA-Flow Policy: Temporally Coherent Imitation Learning via Continuous Latent Action Flow Matching for Robotic Manipulation
- 2024Learning Robotic Manipulation Policies from Point Clouds with Conditional Flow Matching
- 2026Mean Flow Policy with Instantaneous Velocity Constraint for One-step Action Generation
- 2026Trajectory-Consistent Flow Matching for Robust Visuomotor Policy Learning
- 2026Flowing With Purpose: Latent Action Guided Flow Matching Policies For Robotic Manipulation