LGAIMay 1, 2025

Wasserstein Policy Optimization

arXiv:2505.00663v16 citationsh-index: 16ICML
Originality Incremental advance
AI Analysis

This addresses the problem of efficient policy optimization for continuous control in reinforcement learning, offering a novel hybrid approach that combines benefits of deterministic and stochastic methods.

The paper tackles reinforcement learning in continuous action spaces by introducing Wasserstein Policy Optimization (WPO), an actor-critic algorithm that approximates Wasserstein gradient flow, resulting in favorable comparisons with state-of-the-art methods on tasks like the DeepMind Control Suite and magnetic confinement fusion.

We introduce Wasserstein Policy Optimization (WPO), an actor-critic algorithm for reinforcement learning in continuous action spaces. WPO can be derived as an approximation to Wasserstein gradient flow over the space of all policies projected into a finite-dimensional parameter space (e.g., the weights of a neural network), leading to a simple and completely general closed-form update. The resulting algorithm combines many properties of deterministic and classic policy gradient methods. Like deterministic policy gradients, it exploits knowledge of the gradient of the action-value function with respect to the action. Like classic policy gradients, it can be applied to stochastic policies with arbitrary distributions over actions -- without using the reparameterization trick. We show results on the DeepMind Control Suite and a magnetic confinement fusion task which compare favorably with state-of-the-art continuous control methods.

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