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MPBRS: Multi-Potential-Based Reward Shaping for Unified Reward Configuration in Humanoid Locomotion

Summary

This paper introduces MPBRS, a multi-potential-based reward shaping approach for humanoid locomotion reinforcement learning. The authors propose a unified reward structure and weight set that is evaluated on nine humanoid robots using only robot-specific metadata such as joint/link mappings and default poses, yielding more consistent scaling and lower tuning sensitivity than standard reward shaping without altering the optimal policy.

SourcearXiv RoboticsAuthor: Van Chung Nguyen, Hung Manh La
MPBRS: Multi-Potential-Based Reward Shaping for Unified Reward Configuration in Humanoid Locomotion
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[Submitted on 21 Oct 2026]

Title:MPBRS: Multi-Potential-Based Reward Shaping for Unified Reward Configuration in Humanoid Locomotion

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Abstract:Designing and tuning reward functions remains one of the main challenges in building effective reinforcement learning (RL) pipelines for humanoid locomotion. While shaping rewards can accelerate learning, naively formulated terms often conflict with the desired behavior, overfit to a specific robot, or become unstable under small weight changes. Potential-Based Reward Shaping (PBRS) offers an alternative solution: shaping the reward via differences of a potential function to guide exploration without changing the optimal policy. In this paper, we study Multi-PBRS for humanoid locomotion and propose a unified reward configuration. We then evaluate the same reward structure and weights across nine humanoid robots, requiring only robot-specific metadata (joint/link mappings and default poses) rather than per-robot reward redesign. Our experiments show that, compared to standard shaping, MPBRS provides more consistent scaling behavior and reduced tuning sensitivity across robots, making it easier to tune without altering the optimal policy.

Subjects:

Robotics (cs.RO); Artificial Intelligence (cs.AI)

Cite as: arXiv:2610.30334 [cs.RO]

(or arXiv:2610.30334v1 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2610.30334

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Van Chung Nguyen [view email] [v1] Wed, 21 Oct 2026 18:52:28 UTC (4,035 KB)

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Key points

  • Proposes a unified reward configuration via Multi-Potential-Based Reward Shaping (MPBRS) that transfers across robots with the same reward structure and weights.
  • Evaluates the approach on nine humanoid robots, requiring only joint/link mappings and default poses instead of per-robot reward redesign.
  • Compared with standard shaping, MPBRS shows more consistent scaling behavior and reduced tuning sensitivity while preserving the optimal policy.

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