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Main Authors: Li, Fanxing, Sun, Fangyu, Zhang, Tianbao, Zou, Danping
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.14513
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author Li, Fanxing
Sun, Fangyu
Zhang, Tianbao
Zou, Danping
author_facet Li, Fanxing
Sun, Fangyu
Zhang, Tianbao
Zou, Danping
contents Quadrotor control policies can be trained with high performance using the exact gradients of the rewards to directly optimize policy parameters via backpropagation-through-time (BPTT). However, designing a fully differentiable reward architecture is often challenging. Partially differentiable rewards will result in biased gradient propagation that degrades training performance. To overcome this limitation, we propose Amended Backpropagation-through-Time (ABPT), a novel approach that mitigates gradient bias while preserving the training efficiency of BPTT. ABPT combines 0-step and N-step returns, effectively reducing the bias by leveraging value gradients from the learned Q-value function. Additionally, it adopts entropy regularization and state initialization mechanisms to encourage exploration during training. We evaluate ABPT on four representative quadrotor flight tasks \li{in both real world and simulation}. Experimental results demonstrate that ABPT converges significantly faster and achieves higher ultimate rewards than existing learning algorithms, particularly in tasks involving partially differentiable rewards. The code will be released at http://github.com/Fanxing-LI/ABPT.
format Preprint
id arxiv_https___arxiv_org_abs_2501_14513
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle ABPT: Amended Backpropagation through Time with Partially Differentiable Rewards
Li, Fanxing
Sun, Fangyu
Zhang, Tianbao
Zou, Danping
Robotics
Artificial Intelligence
Machine Learning
Quadrotor control policies can be trained with high performance using the exact gradients of the rewards to directly optimize policy parameters via backpropagation-through-time (BPTT). However, designing a fully differentiable reward architecture is often challenging. Partially differentiable rewards will result in biased gradient propagation that degrades training performance. To overcome this limitation, we propose Amended Backpropagation-through-Time (ABPT), a novel approach that mitigates gradient bias while preserving the training efficiency of BPTT. ABPT combines 0-step and N-step returns, effectively reducing the bias by leveraging value gradients from the learned Q-value function. Additionally, it adopts entropy regularization and state initialization mechanisms to encourage exploration during training. We evaluate ABPT on four representative quadrotor flight tasks \li{in both real world and simulation}. Experimental results demonstrate that ABPT converges significantly faster and achieves higher ultimate rewards than existing learning algorithms, particularly in tasks involving partially differentiable rewards. The code will be released at http://github.com/Fanxing-LI/ABPT.
title ABPT: Amended Backpropagation through Time with Partially Differentiable Rewards
topic Robotics
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2501.14513