Generalized Advantage Estimation for Distributional Policy Gradients

Fuente: arXiv
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Autores principales: Shaik, Shahil, Smereka, Jonathon M., Wang, Yue
Formato: Preprint
Publicado: 2025
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author Shaik, Shahil
Smereka, Jonathon M.
Wang, Yue
author_facet Shaik, Shahil
Smereka, Jonathon M.
Wang, Yue
contents Generalized Advantage Estimation (GAE) has been used to mitigate the computational complexity of reinforcement learning (RL) by employing an exponentially weighted estimation of the advantage function to reduce the variance in policy gradient estimates. Despite its effectiveness, GAE is not designed to handle value distributions integral to distributional RL, which can capture the inherent stochasticity in systems and is hence more robust to system noises. To address this gap, we propose a novel approach that utilizes the optimal transport theory to introduce a Wasserstein-like directional metric, which measures both the distance and the directional discrepancies between probability distributions. Using the exponentially weighted estimation, we leverage this Wasserstein-like directional metric to derive distributional GAE (DGAE). Similar to traditional GAE, our proposed DGAE provides a low-variance advantage estimate with controlled bias, making it well-suited for policy gradient algorithms that rely on advantage estimation for policy updates. We integrated DGAE into three different policy gradient methods. Algorithms were evaluated across various OpenAI Gym environments and compared with the baselines with traditional GAE to assess the performance.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17530
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generalized Advantage Estimation for Distributional Policy Gradients
Shaik, Shahil
Smereka, Jonathon M.
Wang, Yue
Machine Learning
Robotics
Generalized Advantage Estimation (GAE) has been used to mitigate the computational complexity of reinforcement learning (RL) by employing an exponentially weighted estimation of the advantage function to reduce the variance in policy gradient estimates. Despite its effectiveness, GAE is not designed to handle value distributions integral to distributional RL, which can capture the inherent stochasticity in systems and is hence more robust to system noises. To address this gap, we propose a novel approach that utilizes the optimal transport theory to introduce a Wasserstein-like directional metric, which measures both the distance and the directional discrepancies between probability distributions. Using the exponentially weighted estimation, we leverage this Wasserstein-like directional metric to derive distributional GAE (DGAE). Similar to traditional GAE, our proposed DGAE provides a low-variance advantage estimate with controlled bias, making it well-suited for policy gradient algorithms that rely on advantage estimation for policy updates. We integrated DGAE into three different policy gradient methods. Algorithms were evaluated across various OpenAI Gym environments and compared with the baselines with traditional GAE to assess the performance.
title Generalized Advantage Estimation for Distributional Policy Gradients
topic Machine Learning
Robotics
url https://arxiv.org/abs/2507.17530