mlsanityData to 14 Oct 2026

GPO: Growing Policy Optimization for Legged Robot Locomotion and Whole-Body Control

arXiv 2601.20668 ↗First posted 28 Jan 2026cs.ROcited by 1

On the map: Deep reinforcement learning methods → RL for robot locomotion and manipulation

Abstract (arXiv)

Training reinforcement learning (RL) policies for legged robots remains challenging due to high-dimensional continuous actions, hardware constraints, and limited exploration. Existing methods for locomotion and whole-body control work well for position-based control with environment-specific heuristics (e.g., reward shaping, curriculum design, and manual initialization), but are less effective for torque-based control, where sufficiently exploring the action space and obtaining informative gradient signals for training is significantly more difficult. We introduce Growing Policy Optimization (GPO), a training framework that applies a time-varying action transformation to restrict the effective action space in the early stage, thereby encouraging more effective data collection and policy learning, and then progressively expands it to enhance exploration and achieve higher expected return. We prove that this transformation preserves the PPO update rule and introduces only bounded, vanishing gradient distortion, thereby ensuring stable training. We evaluate GPO on both quadruped and hexapod robots, including zero-shot deployment of simulation-trained policies on hardware. Policies trained with GPO consistently achieve better performance. These results suggest that GPO provides a general, environment-agnostic optimization framework for learning legged locomotion.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Placed in RL for robot locomotion and manipulation, one of 15 directions in Deep reinforcement learning methods. Builds on 32 of its 44 references that are in the map. First posted on arXiv 28 Jan 2026.

Builds on

32 of 44 references.

References · 32

  1. 2021Isaac Gym: High Performance GPU-Based Physics Simulation For Robot Learningcited by 998
  2. 2020Learning Quadrupedal Locomotion over Challenging Terraincited by 604
  3. 2021Learning to Walk in Minutes Using Massively Parallel Deep Reinforcement Learningcited by 512
  4. 2021RMA: Rapid Motor Adaptation for Legged Robotscited by 508
  5. 2019Learning agile and dynamic motor skills for legged robotscited by 504
  6. 2022Learning robust perceptive locomotion for quadrupedal robots in the wildcited by 382
  7. 2020Learning Agile Robotic Locomotion Skills by Imitating Animalscited by 251
  8. 2023Real-World Humanoid Locomotion with Reinforcement Learningcited by 187
  9. 2023Robot Parkour Learningcited by 149
  10. 2021Minimizing Energy Consumption Leads to the Emergence of Gaits in Legged Robotscited by 76
  11. 2023DreamWaQ: Learning Robust Quadrupedal Locomotion With Implicit Terrain Imagination via Deep Reinforcement Learningcited by 66
  12. 2018Learning Symmetric and Low-energy Locomotioncited by 61
20 more
  1. 2020RLOC: Terrain-Aware Legged Locomotion using Reinforcement Learning and Optimal Controlcited by 59
  2. 2019Highly Dynamic Quadruped Locomotion via Whole-Body Impulse Control and Model Predictive Controlcited by 54
  3. 2019DeepGait: Planning and Control of Quadrupedal Gaits using Deep Reinforcement Learningcited by 50
  4. 2022Perceptive Locomotion through Nonlinear Model Predictive Controlcited by 38
  5. 2022CPG-RL: Learning Central Pattern Generators for Quadruped Locomotioncited by 34
  6. 2022Learning Torque Control for Quadrupedal Locomotioncited by 29
  7. 2020Robust Quadruped Jumping via Deep Reinforcement Learningcited by 27
  8. 2021Robust High-speed Running for Quadruped Robots via Deep Reinforcement Learningcited by 22
  9. 2023Torque-based Deep Reinforcement Learning for Task-and-Robot Agnostic Learning on Bipedal Robots Using Sim-to-Real Transfercited by 22
  10. 2017Whole-Body Nonlinear Model Predictive Control Through Contacts for Quadrupedscited by 20
  11. 2024Learning Visual Quadrupedal Loco-Manipulation from Demonstrationscited by 20
  12. 2018Progressive Reinforcement Learning with Distillation for Multi-Skilled Motion Controlcited by 14
  13. 2023Learning Agile Locomotion and Adaptive Behaviors via RL-augmented MPCcited by 10
  14. 2023Adaptive Force-Based Control of Dynamic Legged Locomotion over Uneven Terraincited by 7
  15. 2023DecAP: Decaying Action Priors for Accelerated Imitation Learning of Torque-Based Legged Locomotion Policiescited by 7
  16. 2023Learning Agility and Adaptive Legged Locomotion via Curricular Hindsight Reinforcement Learningcited by 6
  17. 2023Reinforcement Learning for Reduced-order Models of Legged Robotscited by 5
  18. 2024Learning-based Hierarchical Control: Emulating the Central Nervous System for Bio-Inspired Legged Robot Locomotioncited by 3
  19. 2019Reinforcement Learning for High-dimensional Continuous Control in Biomechanics: An Intro to ArtiSynth-RLcited by 2
  20. 2025SATA: Safe and Adaptive Torque-Based Locomotion Policies Inspired by Animal Learningcited by 1

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 1.

1 paper.

Similar, not cited

Close in wording, no citation either way

  1. 2025Whole-Body Constrained Learning for Legged Locomotion via Hierarchical Optimization
  2. 2026Bridging the Gap: Enabling Soft Actor Critic for High Performance Legged Locomotion
  3. 2026ContractionPPO: Certified Reinforcement Learning via Differentiable Contraction Layers
  4. 2025Dynamic Policy Learning for Legged Robot with Simplified Model Pretraining and Model-Homotopy-Inspired Transfer ↗
  5. 2026ReCo: Response-Consistent Locomotion with Policy-Aware MPC for Legged Manipulation ↗
  6. 2025Learning to Walk With Less: A Dyna-Style Approach to Quadrupedal Locomotion
  7. 2025GeCCo -- a Generalist Contact-Conditioned Policy for Loco-Manipulation Skills on Legged Robots
  8. 2025GRoQ-LoCO: Generalist and Robot-agnostic Quadruped Locomotion Control using Offline Datasets