Benchmarking Potential Based Rewards for Learning Humanoid Locomotion
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Abstract (arXiv)
The main challenge in developing effective reinforcement learning (RL) pipelines is often the design and tuning the reward functions. Well-designed shaping reward can lead to significantly faster learning. Naively formulated rewards, however, can conflict with the desired behavior and result in overfitting or even erratic performance if not properly tuned. In theory, the broad class of potential based reward shaping (PBRS) can help guide the learning process without affecting the optimal policy. Although several studies have explored the use of potential based reward shaping to accelerate learning convergence, most have been limited to grid-worlds and low-dimensional systems, and RL in robotics has predominantly relied on standard forms of reward shaping. In this paper, we benchmark standard forms of shaping with PBRS for a humanoid robot. We find that in this high-dimensional system, PBRS has only marginal benefits in convergence speed. However, the PBRS reward terms are significantly more robust to scaling than typical reward shaping approaches, and thus easier to tune.
Key facts. Cited by 15 papers in the map (data through 14 Oct 2026). Builds on 17 of its 29 references that are in the map. First posted on arXiv 19 Jul 2023.
Builds on
17 of 29 references.
References · 17
- 2017Proximal Policy Optimization Algorithmscited by 15,215
- 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 2,026
- 2021Learning to Walk in Minutes Using Massively Parallel Deep Reinforcement Learningcited by 512
- 2022Learning robust perceptive locomotion for quadrupedal robots in the wildcited by 382
- 2020Learning Agile Robotic Locomotion Skills by Imitating Animalscited by 251
- 2018DeepMimic: Example-Guided Deep Reinforcement Learning of Physics-Based Character Skillscited by 163
- 2020What Matters In On-Policy Reinforcement Learning? A Large-Scale Empirical Studycited by 162
- 2021Reinforcement Learning for Robust Parameterized Locomotion Control of Bipedal Robotscited by 116
- 2020Sim-to-Real Learning of All Common Bipedal Gaits via Periodic Reward Compositioncited by 96
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- 2021The MIT Humanoid Robot: Design, Motion Planning, and Control For Acrobatic Behaviorscited by 32
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5 more
- 2022Lyapunov Design for Robust and Efficient Robotic Reinforcement Learningcited by 28
- 2017Bayesian Optimization Using Domain Knowledge on the ATRIAS Bipedcited by 17
- 2020Learning Spring Mass Locomotion: Guiding Policies with a Reduced-Order Modelcited by 15
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Citing papers per year: 2023: 2; 2024: 4; 2025: 5; 2026: 4.
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- 2024Whole-body Humanoid Robot Locomotion with Human Referencecited by 29
- 2024Learning Whole-Body Loco-Manipulation for Omni-Directional Task Space Pose Tracking with a Wheeled-Quadrupedal-Manipulatorcited by 10
- 2025Distillation-PPO: A Novel Two-Stage Reinforcement Learning Framework for Humanoid Robot Perceptive Locomotioncited by 10
- 2025Natural Humanoid Robot Locomotion with Generative Motion Priorcited by 7
- 2023Fully Spiking Neural Network for Legged Robotscited by 6
- 2025CLF-RL: Control Lyapunov Function Guided Reinforcement Learningcited by 5
- 2024Structural Optimization of Lightweight Bipedal Robot via SERLcited by 3
- 2025Residual MPC: Blending Reinforcement Learning with GPU-Parallelized Model Predictive Controlcited by 3
- 2023Efficient Reinforcement Learning for Jumping Monopodscited by 1
- 2024Boosting Reinforcement Learning Algorithms in Continuous Robotic Reaching Tasks using Adaptive Potential Functionscited by 1
- 2026ECO: Energy-Constrained Optimization with Reinforcement Learning for Humanoid Walkingcited by 1
- 2026MPC-Injection: Biasing Off-Policy Locomotion RL Toward Controller-Induced Behavior Basinscited by 1
- 2026Locally-Guided Actor-Critic: Training a Goal-conditioned Actor with a Subgoal-aware Critic31 Aug 2026
- 2026MPC-Injection: Biasing Off-Policy Locomotion RL Toward Controller-Induced Behavior Basins24 Jun 2026
- 2026Adaptive Smooth Tchebycheff Attention for Multi-Objective Policy Optimization12 May 2026
- 2026ECO: Energy-Constrained Optimization with Reinforcement Learning for Humanoid Walking6 Feb 2026
- 2025Residual MPC: Blending Reinforcement Learning with GPU-Parallelized Model Predictive Control14 Oct 2025
- 2025CLF-RL: Control Lyapunov Function Guided Reinforcement Learning12 Aug 2025
- 2025PTRL: Prior Transfer Deep Reinforcement Learning for Legged Robots Locomotion8 Apr 2025
- 2025Natural Humanoid Robot Locomotion with Generative Motion Prior12 Mar 2025
- 2025Distillation-PPO: A Novel Two-Stage Reinforcement Learning Framework for Humanoid Robot Perceptive Locomotion11 Mar 2025
- 2024Learning Whole-Body Loco-Manipulation for Omni-Directional Task Space Pose Tracking with a Wheeled-Quadrupedal-Manipulator4 Dec 2024
- 2024Structural Optimization of Lightweight Bipedal Robot via SERL28 Aug 2024
- 2024Whole-body Humanoid Robot Locomotion with Human Reference28 Feb 2024
- 2024Learning Whole-Body Loco-Manipulation for Omni-Directional Task Space Pose Tracking with a Wheeled-Quadrupedal-Manipulatorcited by 10
- 2025Distillation-PPO: A Novel Two-Stage Reinforcement Learning Framework for Humanoid Robot Perceptive Locomotioncited by 10
- 2025CLF-RL: Control Lyapunov Function Guided Reinforcement Learningcited by 5
- 2024Structural Optimization of Lightweight Bipedal Robot via SERLcited by 3
- 2025Residual MPC: Blending Reinforcement Learning with GPU-Parallelized Model Predictive Controlcited by 3
- 2024Boosting Reinforcement Learning Algorithms in Continuous Robotic Reaching Tasks using Adaptive Potential Functionscited by 1
- 2026ECO: Energy-Constrained Optimization with Reinforcement Learning for Humanoid Walkingcited by 1
- 2026MPC-Injection: Biasing Off-Policy Locomotion RL Toward Controller-Induced Behavior Basinscited by 1
- 2025PTRL: Prior Transfer Deep Reinforcement Learning for Legged Robots Locomotioncited by 0
- 2026Adaptive Smooth Tchebycheff Attention for Multi-Objective Policy Optimizationcited by 0
- 2026Locally-Guided Actor-Critic: Training a Goal-conditioned Actor with a Subgoal-aware Criticcited by 0
- 2026Locally-Guided Actor-Critic: Training a Goal-conditioned Actor with a Subgoal-aware Critic31 Aug 2026
- 2026MPC-Injection: Biasing Off-Policy Locomotion RL Toward Controller-Induced Behavior Basins24 Jun 2026
- 2026Adaptive Smooth Tchebycheff Attention for Multi-Objective Policy Optimization12 May 2026
- 2026ECO: Energy-Constrained Optimization with Reinforcement Learning for Humanoid Walking6 Feb 2026
- 2025Residual MPC: Blending Reinforcement Learning with GPU-Parallelized Model Predictive Control14 Oct 2025
- 2025CLF-RL: Control Lyapunov Function Guided Reinforcement Learning12 Aug 2025
- 2025PTRL: Prior Transfer Deep Reinforcement Learning for Legged Robots Locomotion8 Apr 2025
- 2025Distillation-PPO: A Novel Two-Stage Reinforcement Learning Framework for Humanoid Robot Perceptive Locomotion11 Mar 2025
- 2024Learning Whole-Body Loco-Manipulation for Omni-Directional Task Space Pose Tracking with a Wheeled-Quadrupedal-Manipulator4 Dec 2024
- 2024Structural Optimization of Lightweight Bipedal Robot via SERL28 Aug 2024
- 2024Boosting Reinforcement Learning Algorithms in Continuous Robotic Reaching Tasks using Adaptive Potential Functions7 Feb 2024
- 2024Whole-body Humanoid Robot Locomotion with Human Referencecited by 29
- 2024Whole-body Humanoid Robot Locomotion with Human Reference28 Feb 2024
- 2025Natural Humanoid Robot Locomotion with Generative Motion Priorcited by 7
- 2023Fully Spiking Neural Network for Legged Robotscited by 6
- 2023Efficient Reinforcement Learning for Jumping Monopodscited by 1
- 2025Natural Humanoid Robot Locomotion with Generative Motion Prior12 Mar 2025
- 2023Fully Spiking Neural Network for Legged Robots8 Oct 2023
- 2023Efficient Reinforcement Learning for Jumping Monopods13 Sep 2023