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Policy optimization is a core component of reinforcement learning (RL), and most existing RL methods directly optimize parameters of a policy based on maximizing the expected total reward, or its surrogate. Though often achieving…

机器学习 · 计算机科学 2018-08-10 Ruiyi Zhang , Changyou Chen , Chunyuan Li , Lawrence Carin

We present a geometric framework for Reinforcement Learning (RL) that views policies as maps into the Wasserstein space of action probabilities. First, we define a Riemannian structure induced by stationary distributions, proving its…

机器学习 · 计算机科学 2026-04-17 Mathias Dus

Reinforcement learning algorithms, though successful, tend to over-fit to training environments hampering their application to the real-world. This paper proposes $\text{W}\text{R}^{2}\text{L}$ -- a robust reinforcement learning algorithm…

We study policy gradient methods for continuous-action, entropy-regularized reinforcement learning through the lens of Wasserstein geometry. Starting from a Wasserstein proximal update, we derive Wasserstein Proximal Policy Gradient (WPPG)…

机器学习 · 计算机科学 2026-03-04 Zhaoyu Zhu , Shuhan Zhang , Rui Gao , Shuang Li

Offline reinforcement learning (RL) aims to learn an optimal policy from a static dataset, making it particularly valuable in scenarios where data collection is costly, such as robotics. A major challenge in offline RL is distributional…

机器学习 · 计算机科学 2025-07-16 Motoki Omura , Yusuke Mukuta , Kazuki Ota , Takayuki Osa , Tatsuya Harada

Robust Reinforcement Learning aims to find the optimal policy with some extent of robustness to environmental dynamics. Existing learning algorithms usually enable the robustness through disturbing the current state or simulating…

机器学习 · 计算机科学 2020-06-02 Linfang Hou , Liang Pang , Xin Hong , Yanyan Lan , Zhiming Ma , Dawei Yin

Wasserstein Policy Optimization (WPO) is a recently proposed reinforcement learning algorithm that leverages Wasserstein gradient flows to optimize stochastic policies in continuous action spaces. Despite its empirical success, the…

机器学习 · 计算机科学 2026-05-22 David Šiška , Yufei Zhang

Wasserstein policy gradient (WPG) is a policy optimization method for reinforcement learning (RL) that exploits the optimal-transport geometry of action distributions. For the entropy-regularized RL objective, WPG evolves each…

机器学习 · 计算机科学 2026-05-27 Zhaoyu Zhu , Rui Gao , Shuang Li

Recent advancements in reinforcement learning (RL) have achieved great success in fine-tuning diffusion-based generative models. However, fine-tuning continuous flow-based generative models to align with arbitrary user-defined reward…

机器学习 · 计算机科学 2025-02-11 Jiajun Fan , Shuaike Shen , Chaoran Cheng , Yuxin Chen , Chumeng Liang , Ge Liu

Reinforcement learning (RL) has been widely studied for improving sequence-generation models. However, the conventional rewards used for RL training typically cannot capture sufficient semantic information and therefore render model bias.…

计算与语言 · 计算机科学 2020-01-22 Ruiyi Zhang , Changyou Chen , Zhe Gan , Zheng Wen , Wenlin Wang , Lawrence Carin

Traditional policy gradient methods are fundamentally flawed. Natural gradients converge quicker and better, forming the foundation of contemporary Reinforcement Learning such as Trust Region Policy Optimization (TRPO) and Proximal Policy…

机器学习 · 计算机科学 2022-09-07 W. J. A. van Heeswijk

We introduce a new approach for comparing reinforcement learning policies, using Wasserstein distances (WDs) in a newly defined latent behavioral space. We show that by utilizing the dual formulation of the WD, we can learn score functions…

We show the convergence of Wasserstein inverse reinforcement learning for multi-objective optimizations with the projective subgradient method by formulating an inverse problem of the multi-objective optimization problem. In addition, we…

机器学习 · 计算机科学 2023-05-19 Akira Kitaoka , Riki Eto

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…

机器学习 · 计算机科学 2025-05-02 David Pfau , Ian Davies , Diana Borsa , Joao G. M. Araujo , Brendan Tracey , Hado van Hasselt

Gradient boosting is a sequential ensemble method that fits a new weaker learner to pseudo residuals at each iteration. We propose Wasserstein gradient boosting, a novel extension of gradient boosting that fits a new weak learner to…

统计方法学 · 统计学 2024-08-30 Takuo Matsubara

We propose efficient numerical schemes for implementing the natural gradient descent (NGD) for a broad range of metric spaces with applications to PDE-based optimization problems. Our technique represents the natural gradient direction as a…

最优化与控制 · 数学 2023-01-12 Levon Nurbekyan , Wanzhou Lei , Yunan Yang

This paper studies the optimization of the KL functional on the Wasserstein space of probability measures, and develops a sampling framework based on Wasserstein gradient descent (WGD). We identify two important subclasses of the…

统计计算 · 统计学 2026-02-04 Van Chien Ta , Thi Mai Hong Chu , Minh-Ngoc Tran

Many machine learning problems can be expressed as the optimization of some cost functional over a parametric family of probability distributions. It is often beneficial to solve such optimization problems using natural gradient methods.…

机器学习 · 统计学 2020-02-14 Michael Arbel , Arthur Gretton , Wuchen Li , Guido Montufar

Wasserstein gradient flow (WGF) is a common method to perform optimization over the space of probability measures. While WGF is guaranteed to converge to a first-order stationary point, for nonconvex functionals the converged solution does…

最优化与控制 · 数学 2025-09-23 Naoya Yamamoto , Juno Kim , Taiji Suzuki

Natural policy gradient (NPG) and its variants are widely-used policy search methods in reinforcement learning. Inspired by prior work, a new NPG variant coined NPG-HM is developed in this paper, which utilizes the Hessian-aided momentum…

机器学习 · 计算机科学 2024-01-23 Jie Feng , Ke Wei , Jinchi Chen
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