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Model-free Policy Learning with Reward Gradients (2103.05147v4)

Published 9 Mar 2021 in cs.LG and cs.AI

Abstract: Despite the increasing popularity of policy gradient methods, they are yet to be widely utilized in sample-scarce applications, such as robotics. The sample efficiency could be improved by making best usage of available information. As a key component in reinforcement learning, the reward function is usually devised carefully to guide the agent. Hence, the reward function is usually known, allowing access to not only scalar reward signals but also reward gradients. To benefit from reward gradients, previous works require the knowledge of environment dynamics, which are hard to obtain. In this work, we develop the \textit{Reward Policy Gradient} estimator, a novel approach that integrates reward gradients without learning a model. Bypassing the model dynamics allows our estimator to achieve a better bias-variance trade-off, which results in a higher sample efficiency, as shown in the empirical analysis. Our method also boosts the performance of Proximal Policy Optimization on different MuJoCo control tasks.

Citations (5)

Summary

  • The paper proposes the novel Reward Policy Gradient (RPG) estimator that integrates reward gradients directly to enhance sample efficiency in policy learning.
  • It combines the likelihood ratio and reparameterization techniques to reduce variance while maintaining unbiased gradient estimates.
  • Empirical evaluations on bandit tasks and MuJoCo benchmarks demonstrate superior performance compared to traditional methods and PPO.

Model-free Policy Learning with Reward Gradients: A Scholarly Analysis

The paper entitled "Model-free Policy Learning with Reward Gradients," authored by Qingfeng Lan, Samuele Tosatto, Homayoon Farrahi, and A. Rupam Mahmood, addresses key inefficiencies in policy gradient methods used in reinforcement learning (RL). Despite the growing popularity and robustness of policy gradient methods in handling complex continuous action spaces, these methods often exhibit low sample efficiency. This inefficiency is particularly challenging in real-world, sample-scarce environments, such as robotics.

Introduction and Motivation

The authors propose a novel approach to enhance sample efficiency by capitalizing on the availability of reward gradients in reinforcement learning tasks where the reward function is known or can be approximated. Traditional methods utilizing reward gradients often rely on the complete knowledge of environment dynamics, which poses significant challenges when such dynamics are complex or unsure. In contrast, this paper seeks to exploit reward gradients without requiring an environmental model, aiming to bypass the limitations associated with learning transition models.

The Reward Policy Gradient Estimator

The cornerstone of the proposed method is the Reward Policy Gradient (RPG) estimator. This estimator integrates reward gradients directly into the policy gradient computation, thereby eliminating the need for modeling environment dynamics. The RPG estimator enhances the bias-variance trade-off in gradient estimation, achieving superior sample efficiency compared to conventional methods. The paper establishes this claim through theoretical derivations and empirical evaluations that substantiate the reduction in variance typically observed in reward-based estimations.

The RPG approach ingeniously combines two prevalent gradient estimation techniques used in RL: the likelihood ratio (LR) estimator and the reparameterization (RP) estimator. The LR estimator, noted for its general applicability, often suffers from high variance issues. Conversely, the RP estimator, though limited to continuous distributions, exhibits lower variance, thereby making them highly complementary. By integrating these two methods, the RPG estimator derives reward benefits while maintaining an unbiased and efficient estimation process.

Experimental Analysis and Results

The empirical analyses conducted in the paper demonstrate the practical efficacy of the RPG estimator. Tests on simple bandit tasks and complex Markov Decision Processes (MDPs) establish a notable reduction in both bias and variance of gradient estimation. The paper further validates its approach through comparisons against state-of-the-art methods such as Proximal Policy Optimization (PPO) on multiple MuJoCo control tasks. The RPG algorithm consistently outperformed traditional methods in sample efficiency across various benchmarks, highlighting its practical implications in enhancing learning performance.

Implications and Future Directions

The implications of this research traverse both theoretical and practical realms of reinforcement learning. Theoretically, the RPG theorem elucidates how incorporating reward information can refine policy gradients without necessitating transitions model knowledge. Practically, this research revives methods to reduce environment modeling efforts, thereby broadening the applicability of RL algorithms to more complex and realistic tasks where model uncertainty is significant.

Future research could focus on extending the RPG approach to discrete action spaces, potentially through techniques analogous to the Gumbel-Softmax reparameterization. Moreover, exploring hybrid models that utilize both RPG and conventional actor-critic architectures could improve robustness and efficiency further. The paper represents a significant stride towards a more adaptable, scalable approach for model-free policy learning in RL, suggesting promising research trajectories that leverage reward gradients across various domains.

Overall, "Model-free Policy Learning with Reward Gradients" presents technically rigorous and empirically substantiated advancements to the reinforcement learning community, providing a strong foundation for subsequent innovations in sample-efficient, model-free policy learning strategies.

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