Attention-Based Map Encoding for Learning Generalized Legged Locomotion
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Abstract (arXiv)
Dynamic locomotion of legged robots is a critical yet challenging topic in expanding the operational range of mobile robots. It requires precise planning when possible footholds are sparse, robustness against uncertainties and disturbances, and generalizability across diverse terrains. While traditional model-based controllers excel at planning on complex terrains, they struggle with real-world uncertainties. Learning-based controllers offer robustness to such uncertainties but often lack precision on terrains with sparse steppable areas. Hybrid methods achieve enhanced robustness on sparse terrains by combining both methods but are computationally demanding and constrained by the inherent limitations of model-based planners. To achieve generalized legged locomotion on diverse terrains while preserving the robustness of learning-based controllers, this paper proposes to learn an attention-based map encoding conditioned on robot proprioception, which is trained as part of the end-to-end controller using reinforcement learning. We show that the network learns to focus on steppable areas for future footholds when the robot dynamically navigates diverse and challenging terrains. We synthesize behaviors that exhibit robustness against uncertainties while enabling precise and agile traversal of sparse terrains. Additionally, our method offers a way to interpret the topographical perception of a neural network. We have trained two controllers for a 12-DoF quadrupedal robot and a 23-DoF humanoid robot respectively and tested the resulting controllers in the real world under various challenging indoor and outdoor scenarios, including ones unseen during training.
Key facts. Cited by 40 papers in the map (data through 14 Oct 2026). First posted on arXiv 11 Jun 2025.
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Citing papers per year: 2025: 15; 2026: 25.
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- 2025BeyondMimic: From Motion Tracking to Versatile Humanoid Control via Guided Diffusioncited by 165
- 2025OmniRetarget: Interaction-Preserving Data Generation for Humanoid Whole-Body Loco-Manipulation and Scene Interactioncited by 71
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- 2026Perceptive Humanoid Parkour: Chaining Dynamic Human Skills via Motion Matchingcited by 19
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- 2026Hiking in the Wild: A Scalable Perceptive Parkour Framework for Humanoidscited by 13
- 2025Towards Adaptable Humanoid Control via Adaptive Motion Trackingcited by 8
- 2025Olaf: Bringing an Animated Character to Life in the Physical Worldcited by 8
- 2025Humanoid Occupancy: Enabling A Generalized Multimodal Occupancy Perception System on Humanoid Robotscited by 5
- 2026PolicyFlow: Policy Optimization with Continuous Normalizing Flow in Reinforcement Learningcited by 5
- 2026LUCID: Learning Embodiment-Agnostic Intent Models from Unstructured Human Videos for Scalable Dexterous Robot Skill Acquisitioncited by 5
- 2026TTT-Parkour: Rapid Test-Time Training for Perceptive Robot Parkourcited by 4
28 more
- 2025Contrastive Representation Learning for Robust Sim-to-Real Transfer of Adaptive Humanoid Locomotioncited by 3
- 2025RobotDancing: Residual-Action Reinforcement Learning Enables Robust Long-Horizon Humanoid Motion Trackingcited by 3
- 2026DeFM: Learning Foundation Representations from Depth for Roboticscited by 3
- 2026Closing the Reality Gap: Zero-Shot Sim-to-Real Deployment for Dexterous Force-Based Grasping and Manipulationcited by 2
- 2026Flip Stunts on Bicycle Robots using Iterative Motion Imitationcited by 2
- 2025Physics-Guided Residual Reinforcement Learning for Humanoid Narrow-Path Traversalcited by 1
- 2025Architecture Is All You Need: Diversity-Enabled Sweet Spots for Robust Humanoid Locomotioncited by 1
- 2025HAFO: A Force-Adaptive Control Framework for Humanoid Robots in Intense Interaction Environmentscited by 1
- 2026PUMA: Perception-driven Unified Foothold Prior for Mobility Augmented Quadruped Parkourcited by 1
- 2026APEX: Learning Adaptive High-Platform Traversal for Humanoid Robotscited by 1
- 2026Generalizing from References using a Multi-Task Reference and Goal-Driven RL Frameworkcited by 1
- 2026LineRides: Line-Guided Reinforcement Learning for Bicycle Robot Stuntscited by 1
- 2026Global-Local Attention Decomposition for Terrain Encoding in Humanoid Perceptive Locomotioncited by 1
- 2026Mind Your Steps: A General Learning Framework for Accurate Humanoid Foothold Trackingcited by 1
- 2026Trajectory-Level Automatic Curriculum Learning for Legged Locomotion on Unstructured Terraincited by 1
- 2026BRIDGE: An Open-Source Humanoid Platform via Morphology-Control Co-Design for Physical AIcited by 1
- 2025GeCCo -- a Generalist Contact-Conditioned Policy for Loco-Manipulation Skills on Legged Robotscited by 0
- 2025Kinematics-Aware Multi-Policy Reinforcement Learning for Force-Capable Humanoid Loco-Manipulationcited by 0
- 2025Learning Terrain Aware Bipedal Locomotion via Reduced Dimensional Perceptual Representationscited by 0
- 2026CMR: Contractive Mapping Embeddings for Robust Humanoid Locomotion on Unstructured Terrainscited by 0
- 2026Learning Task-Invariant Properties via Dreamer: Enabling Efficient Policy Transfer for Quadruped Robotscited by 0
- 2026Terrain Consistent Reference-Guided RL for Humanoid Navigation Autonomycited by 0
- 2026CoRe-MoE: Contrastive Reweighted Mixture of Experts for Multi-Terrain Humanoid Locomotion with Gait Adaptationcited by 0
- 2026LadderMan: Learning Humanoid Perceptive Ladder Climbingcited by 0
- 2026CTS-MoE: Implicit Terrain Adaptation via Mixture-of-Experts for Perceptive Locomotioncited by 0
- 2026Bicycle Acrobatics with Reinforcement Learningcited by 0
- 2026FootQuery: Future-Touchdown-Guided Retrieval from Depth History for Perceptive Humanoid Locomotioncited by 0
- 2026Efficient Test-Time Adaptation For Robot Policiescited by 0
- 2026Efficient Test-Time Adaptation For Robot Policies14 Oct 2026
- 2026FootQuery: Future-Touchdown-Guided Retrieval from Depth History for Perceptive Humanoid Locomotion18 Sep 2026
- 2026BRIDGE: An Open-Source Humanoid Platform via Morphology-Control Co-Design for Physical AI3 Sep 2026
- 2026Trajectory-Level Automatic Curriculum Learning for Legged Locomotion on Unstructured Terrain17 Aug 2026
- 2026Bicycle Acrobatics with Reinforcement Learning1 Aug 2026
- 2026CTS-MoE: Implicit Terrain Adaptation via Mixture-of-Experts for Perceptive Locomotion17 Jun 2026
- 2026LUCID: Learning Embodiment-Agnostic Intent Models from Unstructured Human Videos for Scalable Dexterous Robot Skill Acquisition10 Jun 2026
- 2026Mind Your Steps: A General Learning Framework for Accurate Humanoid Foothold Tracking6 Jun 2026
- 2026LadderMan: Learning Humanoid Perceptive Ladder Climbing4 Jun 2026
- 2026CoRe-MoE: Contrastive Reweighted Mixture of Experts for Multi-Terrain Humanoid Locomotion with Gait Adaptation3 Jun 2026
- 2026Global-Local Attention Decomposition for Terrain Encoding in Humanoid Perceptive Locomotion30 May 2026
- 2026Terrain Consistent Reference-Guided RL for Humanoid Navigation Autonomy15 May 2026
28 more
- 2026LineRides: Line-Guided Reinforcement Learning for Bicycle Robot Stunts6 May 2026
- 2026Learning Task-Invariant Properties via Dreamer: Enabling Efficient Policy Transfer for Quadruped Robots3 Apr 2026
- 2026Flip Stunts on Bicycle Robots using Iterative Motion Imitation30 Mar 2026
- 2026Generalizing from References using a Multi-Task Reference and Goal-Driven RL Framework23 Feb 2026
- 2026Perceptive Humanoid Parkour: Chaining Dynamic Human Skills via Motion Matching17 Feb 2026
- 2026APEX: Learning Adaptive High-Platform Traversal for Humanoid Robots11 Feb 2026
- 2026CMR: Contractive Mapping Embeddings for Robust Humanoid Locomotion on Unstructured Terrains3 Feb 2026
- 2026TTT-Parkour: Rapid Test-Time Training for Perceptive Robot Parkour2 Feb 2026
- 2026PolicyFlow: Policy Optimization with Continuous Normalizing Flow in Reinforcement Learning1 Feb 2026
- 2026DeFM: Learning Foundation Representations from Depth for Robotics26 Jan 2026
- 2026PUMA: Perception-driven Unified Foothold Prior for Mobility Augmented Quadruped Parkour22 Jan 2026
- 2026Hiking in the Wild: A Scalable Perceptive Parkour Framework for Humanoids12 Jan 2026
- 2026Closing the Reality Gap: Zero-Shot Sim-to-Real Deployment for Dexterous Force-Based Grasping and Manipulation6 Jan 2026
- 2025Olaf: Bringing an Animated Character to Life in the Physical World18 Dec 2025
- 2025Learning Terrain Aware Bipedal Locomotion via Reduced Dimensional Perceptual Representations15 Dec 2025
- 2025Kinematics-Aware Multi-Policy Reinforcement Learning for Force-Capable Humanoid Loco-Manipulation26 Nov 2025
- 2025HAFO: A Force-Adaptive Control Framework for Humanoid Robots in Intense Interaction Environments25 Nov 2025
- 2025Architecture Is All You Need: Diversity-Enabled Sweet Spots for Robust Humanoid Locomotion16 Oct 2025
- 2025Towards Adaptable Humanoid Control via Adaptive Motion Tracking16 Oct 2025
- 2025OmniRetarget: Interaction-Preserving Data Generation for Humanoid Whole-Body Loco-Manipulation and Scene Interaction30 Sep 2025
- 2025RobotDancing: Residual-Action Reinforcement Learning Enables Robust Long-Horizon Humanoid Motion Tracking25 Sep 2025
- 2025GeCCo -- a Generalist Contact-Conditioned Policy for Loco-Manipulation Skills on Legged Robots22 Sep 2025
- 2025DreamControl: Human-Inspired Whole-Body Humanoid Control for Scene Interaction via Guided Diffusion17 Sep 2025
- 2025Contrastive Representation Learning for Robust Sim-to-Real Transfer of Adaptive Humanoid Locomotion16 Sep 2025
- 2025RSL-RL: A Learning Library for Robotics Research13 Sep 2025
- 2025Physics-Guided Residual Reinforcement Learning for Humanoid Narrow-Path Traversal28 Aug 2025
- 2025BeyondMimic: From Motion Tracking to Versatile Humanoid Control via Guided Diffusion11 Aug 2025
- 2025Humanoid Occupancy: Enabling A Generalized Multimodal Occupancy Perception System on Humanoid Robots27 Jul 2025
- 2025OmniRetarget: Interaction-Preserving Data Generation for Humanoid Whole-Body Loco-Manipulation and Scene Interactioncited by 71
- 2025RSL-RL: A Learning Library for Robotics Researchcited by 49
- 2026PolicyFlow: Policy Optimization with Continuous Normalizing Flow in Reinforcement Learningcited by 5
- 2025Contrastive Representation Learning for Robust Sim-to-Real Transfer of Adaptive Humanoid Locomotioncited by 3
- 2025RobotDancing: Residual-Action Reinforcement Learning Enables Robust Long-Horizon Humanoid Motion Trackingcited by 3
- 2026Flip Stunts on Bicycle Robots using Iterative Motion Imitationcited by 2
- 2025Physics-Guided Residual Reinforcement Learning for Humanoid Narrow-Path Traversalcited by 1
- 2025HAFO: A Force-Adaptive Control Framework for Humanoid Robots in Intense Interaction Environmentscited by 1
- 2026APEX: Learning Adaptive High-Platform Traversal for Humanoid Robotscited by 1
- 2026Generalizing from References using a Multi-Task Reference and Goal-Driven RL Frameworkcited by 1
- 2026LineRides: Line-Guided Reinforcement Learning for Bicycle Robot Stuntscited by 1
- 2026Global-Local Attention Decomposition for Terrain Encoding in Humanoid Perceptive Locomotioncited by 1
12 most cited of 17 All 17 (JSON)
- 2026Bicycle Acrobatics with Reinforcement Learning1 Aug 2026
- 2026Global-Local Attention Decomposition for Terrain Encoding in Humanoid Perceptive Locomotion30 May 2026
- 2026Terrain Consistent Reference-Guided RL for Humanoid Navigation Autonomy15 May 2026
- 2026LineRides: Line-Guided Reinforcement Learning for Bicycle Robot Stunts6 May 2026
- 2026Flip Stunts on Bicycle Robots using Iterative Motion Imitation30 Mar 2026
- 2026Generalizing from References using a Multi-Task Reference and Goal-Driven RL Framework23 Feb 2026
- 2026APEX: Learning Adaptive High-Platform Traversal for Humanoid Robots11 Feb 2026
- 2026PolicyFlow: Policy Optimization with Continuous Normalizing Flow in Reinforcement Learning1 Feb 2026
- 2025Learning Terrain Aware Bipedal Locomotion via Reduced Dimensional Perceptual Representations15 Dec 2025
- 2025Kinematics-Aware Multi-Policy Reinforcement Learning for Force-Capable Humanoid Loco-Manipulation26 Nov 2025
- 2025HAFO: A Force-Adaptive Control Framework for Humanoid Robots in Intense Interaction Environments25 Nov 2025
- 2025OmniRetarget: Interaction-Preserving Data Generation for Humanoid Whole-Body Loco-Manipulation and Scene Interaction30 Sep 2025
12 newest of 17 All 17 (JSON)
- 2026Perceptive Humanoid Parkour: Chaining Dynamic Human Skills via Motion Matchingcited by 19
- 2026Hiking in the Wild: A Scalable Perceptive Parkour Framework for Humanoidscited by 13
- 2025Towards Adaptable Humanoid Control via Adaptive Motion Trackingcited by 8
- 2025Olaf: Bringing an Animated Character to Life in the Physical Worldcited by 8
- 2025Humanoid Occupancy: Enabling A Generalized Multimodal Occupancy Perception System on Humanoid Robotscited by 5
- 2026LUCID: Learning Embodiment-Agnostic Intent Models from Unstructured Human Videos for Scalable Dexterous Robot Skill Acquisitioncited by 5
- 2026TTT-Parkour: Rapid Test-Time Training for Perceptive Robot Parkourcited by 4
- 2026DeFM: Learning Foundation Representations from Depth for Roboticscited by 3
- 2026Closing the Reality Gap: Zero-Shot Sim-to-Real Deployment for Dexterous Force-Based Grasping and Manipulationcited by 2
- 2025Architecture Is All You Need: Diversity-Enabled Sweet Spots for Robust Humanoid Locomotioncited by 1
- 2026PUMA: Perception-driven Unified Foothold Prior for Mobility Augmented Quadruped Parkourcited by 1
- 2026Mind Your Steps: A General Learning Framework for Accurate Humanoid Foothold Trackingcited by 1
12 most cited of 18 All 18 (JSON)
- 2026Efficient Test-Time Adaptation For Robot Policies14 Oct 2026
- 2026FootQuery: Future-Touchdown-Guided Retrieval from Depth History for Perceptive Humanoid Locomotion18 Sep 2026
- 2026BRIDGE: An Open-Source Humanoid Platform via Morphology-Control Co-Design for Physical AI3 Sep 2026
- 2026Trajectory-Level Automatic Curriculum Learning for Legged Locomotion on Unstructured Terrain17 Aug 2026
- 2026LUCID: Learning Embodiment-Agnostic Intent Models from Unstructured Human Videos for Scalable Dexterous Robot Skill Acquisition10 Jun 2026
- 2026Mind Your Steps: A General Learning Framework for Accurate Humanoid Foothold Tracking6 Jun 2026
- 2026LadderMan: Learning Humanoid Perceptive Ladder Climbing4 Jun 2026
- 2026Perceptive Humanoid Parkour: Chaining Dynamic Human Skills via Motion Matching17 Feb 2026
- 2026CMR: Contractive Mapping Embeddings for Robust Humanoid Locomotion on Unstructured Terrains3 Feb 2026
- 2026TTT-Parkour: Rapid Test-Time Training for Perceptive Robot Parkour2 Feb 2026
- 2026DeFM: Learning Foundation Representations from Depth for Robotics26 Jan 2026
- 2026PUMA: Perception-driven Unified Foothold Prior for Mobility Augmented Quadruped Parkour22 Jan 2026
12 newest of 18 All 18 (JSON)
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- 2026Agile and Generalized Legged Locomotion via Attention-Based Neural Map Encoding
- 2024Walking with Terrain Reconstruction: Learning to Traverse Risky Sparse Footholds
- 2025Learning Terrain-Specialized Policies for Adaptive Locomotion in Challenging Environments
- 2024Learning Generic and Dynamic Locomotion of Humanoids Across Discrete Terrains
- 2026Learning Locomotion on Complex Terrain for Quadrupedal Robots with Foot Position Maps and Stability Rewards
- 2025PGTT: Phase-Guided Terrain Traversal for Perceptive Legged Locomotion
- 2025MARG: MAstering Risky Gap Terrains for Legged Robots with Elevation Mapping
- 2023Learning Robust, Agile, Natural Legged Locomotion Skills in the Wild