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We study the problem of computing deterministic optimal policies for constrained Markov decision processes (MDPs) with continuous state and action spaces, which are widely encountered in constrained dynamical systems. Designing…

人工智能 · 计算机科学 2025-04-07 Sergio Rozada , Dongsheng Ding , Antonio G. Marques , Alejandro Ribeiro

Gradient-based approaches to direct policy search in reinforcement learning have received much recent attention as a means to solve problems of partial observability and to avoid some of the problems associated with policy degradation in…

人工智能 · 计算机科学 2019-11-18 Jonathan Baxter , Peter L. Bartlett

Robust Markov decision processes (MDPs) allow to compute reliable solutions for dynamic decision problems whose evolution is modeled by rewards and partially-known transition probabilities. Unfortunately, accounting for uncertainty in the…

机器学习 · 计算机科学 2020-06-18 Chin Pang Ho , Marek Petrik , Wolfram Wiesemann

This work revisits standard policy gradient methods used on restricted policy classes, which are known to get stuck in suboptimal critical points. We identify an important cause for this phenomenon to be that the policy gradient is itself…

机器学习 · 计算机科学 2026-05-12 Alex DeWeese , Guannan Qu

We devise a control-theoretic reinforcement learning approach to support direct learning of the optimal policy. We establish various theoretical properties of our approach, such as convergence and optimality of our analog of the Bellman…

机器学习 · 计算机科学 2026-04-01 Weiqin Chen , Mark S. Squillante , Chai Wah Wu , Santiago Paternain

Policy gradient (PG) algorithms have been widely used in reinforcement learning (RL). However, PG algorithms rely on exploiting the value function being learned with the first-order update locally, which results in limited sample…

机器学习 · 计算机科学 2021-07-06 Hao Sun , Ziping Xu , Yuhang Song , Meng Fang , Jiechao Xiong , Bo Dai , Bolei Zhou

We propose empirical dynamic programming algorithms for Markov decision processes (MDPs). In these algorithms, the exact expectation in the Bellman operator in classical value iteration is replaced by an empirical estimate to get `empirical…

最优化与控制 · 数学 2013-11-26 William B. Haskell , Rahul Jain , Dileep Kalathil

Direct optimization is an appealing framework that replaces integration with optimization of a random objective for approximating gradients in models with discrete random variables. A$^\star$ sampling is a framework for optimizing such…

机器学习 · 计算机科学 2020-10-26 Guy Lorberbom , Chris J. Maddison , Nicolas Heess , Tamir Hazan , Daniel Tarlow

We consider challenging dynamic programming models where the associated Bellman equation, and the value and policy iteration algorithms commonly exhibit complex and even pathological behavior. Our analysis is based on the new notion of…

最优化与控制 · 数学 2016-09-13 Dimitri P. Bertsekas

Distributional Reinforcement Learning (RL) maintains the entire probability distribution of the reward-to-go, i.e. the return, providing more learning signals that account for the uncertainty associated with policy performance, which may be…

机器学习 · 计算机科学 2021-03-24 Luchen Li , A. Aldo Faisal

This paper discusses theoretical and experimental aspects of gradient-based approaches to the direct optimization of policy performance in controlled POMDPs. We introduce GPOMDP, a REINFORCE-like algorithm for estimating an approximation to…

机器学习 · 计算机科学 2025-12-08 Jonathan Baxter , Peter L. Bartlett

We study a reinforcement learning setting, where the state transition function is a convex combination of a stochastic continuous function and a deterministic function. Such a setting generalizes the widely-studied stochastic state…

机器学习 · 计算机科学 2018-10-03 Qingpeng Cai , Ling Pan , Pingzhong Tang

Recent policy optimization approaches have achieved substantial empirical success by constructing surrogate optimization objectives. The Approximate Policy Iteration objective (Schulman et al., 2015a; Kakade and Langford, 2002) has become a…

机器学习 · 计算机科学 2019-10-31 Marcin B. Tomczak , Sergio Valcarcel Macua , Enrique Munoz de Cote , Peter Vrancx

This work adopts the very successful distributional perspective on reinforcement learning and adapts it to the continuous control setting. We combine this within a distributed framework for off-policy learning in order to develop what we…

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 study a new two-time-scale stochastic gradient method for solving optimization problems, where the gradients are computed with the aid of an auxiliary variable under samples generated by time-varying MDPs controlled by the underlying…

最优化与控制 · 数学 2024-08-27 Sihan Zeng , Thinh T. Doan , Justin Romberg

This paper develops the first policy gradient method with global optimality guarantee and complexity analysis for robust reinforcement learning under model mismatch. Robust reinforcement learning is to learn a policy robust to model…

机器学习 · 计算机科学 2022-05-17 Yue Wang , Shaofeng Zou

Recent progress in randomized motion planners has led to the development of a new class of sampling-based algorithms that provide asymptotic optimality guarantees, notably the RRT* and the PRM* algorithms. Careful analysis reveals that the…

机器人学 · 计算机科学 2016-09-21 Oktay Arslan , Panagiotis Tsiotras

Robust Markov decision processes (RMDPs) provide a promising framework for computing reliable policies in the face of model errors. Many successful reinforcement learning algorithms build on variations of policy-gradient methods, but…

机器学习 · 计算机科学 2024-05-15 Qiuhao Wang , Chin Pang Ho , Marek Petrik

We develop an optimization framework centered around a core idea: once a (parametric) policy is specified, control authority is transferred to the policy, resulting in an autonomous dynamical system. Thus we should be able to optimize…

机器学习 · 计算机科学 2025-06-11 Emo Todorov