mlsanityData to 7 Oct 2026

Learning Coordinated Terrain-Adaptive Locomotion by Imitating a Centroidal Dynamics Planner

arXiv 2111.00262 ↗First posted 30 Oct 2021cs.RO cs.LGcited by 4

Not on the map. Why?

Abstract (arXiv)

Dynamic quadruped locomotion over challenging terrains with precise foot placements is a hard problem for both optimal control methods and Reinforcement Learning (RL). Non-linear solvers can produce coordinated constraint satisfying motions, but often take too long to converge for online application. RL methods can learn dynamic reactive controllers but require carefully tuned shaping rewards to produce good gaits and can have trouble discovering precise coordinated movements. Imitation learning circumvents this problem and has been used with motion capture data to extract quadruped gaits for flat terrains. However, it would be costly to acquire motion capture data for a very large variety of terrains with height differences. In this work, we combine the advantages of trajectory optimization and learning methods and show that terrain adaptive controllers can be obtained by training policies to imitate trajectories that have been planned over procedural terrains by a non-linear solver. We show that the learned policies transfer to unseen terrains and can be fine-tuned to dynamically traverse challenging terrains that require precise foot placements and are very hard to solve with standard RL.

Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Builds on 23 of its 40 references that are in the map. First posted on arXiv 30 Oct 2021.

Builds on

23 of 40 references.

References · 23

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2015Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs)cited by 1,061
  3. 2020Learning Quadrupedal Locomotion over Challenging Terraincited by 494
  4. 2019Learning agile and dynamic motor skills for legged robotscited by 402
  5. 2021Learning to Walk in Minutes Using Massively Parallel Deep Reinforcement Learningcited by 395
  6. 2020Learning Agile Robotic Locomotion Skills by Imitating Animalscited by 229
  7. 2017Emergence of Locomotion Behaviours in Rich Environmentscited by 159
  8. 2018DeepMimic: Example-Guided Deep Reinforcement Learning of Physics-Based Character Skillscited by 153
  9. 2018Plan Online, Learn Offline: Efficient Learning and Exploration via Model-Based Controlcited by 104
  10. 2018Neural probabilistic motor primitives for humanoid controlcited by 96
  11. 2019V-MPO: On-Policy Maximum a Posteriori Policy Optimization for Discrete and Continuous Controlcited by 85
  12. 2021Blind Bipedal Stair Traversal via Sim-to-Real Reinforcement Learningcited by 73
11 more
  1. 2020A Distributional View on Multi-Objective Policy Optimizationcited by 51
  2. 2020RLOC: Terrain-Aware Legged Locomotion using Reinforcement Learning and Optimal Controlcited by 46
  3. 2019DeepGait: Planning and Control of Quadrupedal Gaits using Deep Reinforcement Learningcited by 45
  4. 2020ALLSTEPS: Curriculum-driven Learning of Stepping Stone Skillscited by 44
  5. 2019MPC-Net: A First Principles Guided Policy Searchcited by 28
  6. 2020Guided Constrained Policy Optimization for Dynamic Quadrupedal Robot Locomotioncited by 24
  7. 2021GLiDE: Generalizable Quadrupedal Locomotion in Diverse Environments with a Centroidal Modelcited by 23
  8. 2021AMP: Adversarial Motion Priors for Stylized Physics-Based Character Controlcited by 18
  9. 2020Zero-Shot Terrain Generalization for Visual Locomotion Policiescited by 13
  10. 2021Reinforcement Learning with Evolutionary Trajectory Generator: A General Approach for Quadrupedal Locomotioncited by 10
  11. 2020Reliable Trajectories for Dynamic Quadrupeds using Analytical Costs and Learned Initializationscited by 4

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 2; 2023: 1; 2024: 0; 2025: 0; 2026: 1.

4 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2023Learning Terrain-Adaptive Locomotion with Agile Behaviors by Imitating Animals
  2. 2025Learning Terrain-Specialized Policies for Adaptive Locomotion in Challenging Environments
  3. 2023Learning Agile Locomotion on Risky Terrains
  4. 2026CTS-MoE: Implicit Terrain Adaptation via Mixture-of-Experts for Perceptive Locomotion
  5. 2023Imitating and Finetuning Model Predictive Control for Robust and Symmetric Quadrupedal Locomotion
  6. 2025GRoQ-LoCO: Generalist and Robot-agnostic Quadruped Locomotion Control using Offline Datasets
  7. 2022Learning to Walk by Steering: Perceptive Quadrupedal Locomotion in Dynamic Environments
  8. 2026CoRe-MoE: Contrastive Reweighted Mixture of Experts for Multi-Terrain Humanoid Locomotion with Gait Adaptation