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Reinforcement learning is a widely used approach to autonomous navigation, showing potential in various tasks and robotic setups. Still, it often struggles to reach distant goals when safety constraints are imposed (e.g., the wheeled robot…

Robotics · Computer Science 2024-08-27 Brian Angulo , Gregory Gorbov , Aleksandr Panov , Konstantin Yakovlev

In this paper, we consider a class of continuous-time, continuous-space stochastic optimal control problems. Building upon recent advances in Markov chain approximation methods and sampling-based algorithms for deterministic path planning,…

Robotics · Computer Science 2012-02-27 Vu Anh Huynh , Sertac Karaman , Emilio Frazzoli

The policy gradient theorem is defined based on an objective with respect to the initial distribution over states. In the discounted case, this results in policies that are optimal for one distribution over initial states, but may not be…

Machine Learning · Computer Science 2019-12-12 Riashat Islam , Raihan Seraj , Pierre-Luc Bacon , Doina Precup

Directed exploration strategies for reinforcement learning are critical for learning an optimal policy in a minimal number of interactions with the environment. Many algorithms use optimism to direct exploration, either through visitation…

Machine Learning · Computer Science 2021-04-07 Raksha Kumaraswamy , Matthew Schlegel , Adam White , Martha White

We present Memory Augmented Policy Optimization (MAPO), a simple and novel way to leverage a memory buffer of promising trajectories to reduce the variance of policy gradient estimate. MAPO is applicable to deterministic environments with…

Machine Learning · Computer Science 2019-01-15 Chen Liang , Mohammad Norouzi , Jonathan Berant , Quoc Le , Ni Lao

Differentiable planning enables gradient-based optimization of decision-making problems by leveraging differentiable models of system dynamics. However, in highly nonlinear and hybrid discrete-continuous domains, the resulting optimization…

Artificial Intelligence · Computer Science 2026-05-11 Yuval Aroosh , Ayal Taitler

Recent research in robot exploration and mapping has focused on sampling environmental hotspot fields. This exploration task is formalized by Low, Dolan, and Khosla (2008) in a sequential decision-theoretic planning under uncertainty…

Machine Learning · Computer Science 2013-05-28 Kian Hsiang Low , John M. Dolan , Pradeep Khosla

Improving sample efficiency has been a longstanding goal in reinforcement learning. This paper proposes $\mathtt{VRMPO}$ algorithm: a sample efficient policy gradient method with stochastic mirror descent. In $\mathtt{VRMPO}$, a novel…

Machine Learning · Computer Science 2022-02-10 Long Yang , Yu Zhang , Gang Zheng , Qian Zheng , Pengfei Li , Jianhang Huang , Jun Wen , Gang Pan

We study the problem of exploration in Reinforcement Learning and present a novel model-free solution. We adopt an information-theoretical viewpoint and start from the instance-specific lower bound of the number of samples that have to be…

Machine Learning · Computer Science 2024-07-02 Alessio Russo , Alexandre Proutiere

This paper studies reward-agnostic exploration in reinforcement learning (RL) -- a scenario where the learner is unware of the reward functions during the exploration stage -- and designs an algorithm that improves over the state of the…

Machine Learning · Computer Science 2024-05-24 Gen Li , Yuling Yan , Yuxin Chen , Jianqing Fan

We consider the joint design and control of discrete-time stochastic dynamical systems over a finite time horizon. We formulate the problem as a multi-step optimization problem under uncertainty seeking to identify a system design and a…

Machine Learning · Computer Science 2022-01-07 Adrien Bolland , Ioannis Boukas , Mathias Berger , Damien Ernst

Having access to an exploring restart distribution (the so-called wide coverage assumption) is critical with policy gradient methods. This is due to the fact that, while the objective function is insensitive to updates in unlikely states,…

Machine Learning · Computer Science 2021-06-30 Marco Miani , Maurizio Parton , Marco Romito

We consider the optimal sample complexity theory of tabular reinforcement learning (RL) for maximizing the infinite horizon discounted reward in a Markov decision process (MDP). Optimal worst-case complexity results have been developed for…

Machine Learning · Computer Science 2023-10-03 Shengbo Wang , Jose Blanchet , Peter Glynn

We consider a discounted infinite horizon optimal stopping problem. If the underlying distribution is known a priori, the solution of this problem is obtained via dynamic programming (DP) and is given by a well known threshold rule. When…

Machine Learning · Computer Science 2021-02-23 Daniel Russo , Assaf Zeevi , Tianyi Zhang

We propose MDP-GapE, a new trajectory-based Monte-Carlo Tree Search algorithm for planning in a Markov Decision Process in which transitions have a finite support. We prove an upper bound on the number of calls to the generative models…

Machine Learning · Computer Science 2020-06-11 Anders Jonsson , Emilie Kaufmann , Pierre Ménard , Omar Darwiche Domingues , Edouard Leurent , Michal Valko

Current state-of-the-art multi-objective optimization solvers, by computing gradients of all $m$ objective functions per iteration, produce after $k$ iterations a measure of proximity to critical conditions that is upper-bounded by…

Optimization and Control · Mathematics 2021-05-26 I. F. D. Oliveira , R. H. C. Takahashi

We establish an optimal sample complexity of $O(\epsilon^{-2})$ for obtaining an $\epsilon$-optimal global policy using a single-timescale actor-critic (AC) algorithm in infinite-horizon discounted Markov decision processes (MDPs) with…

Machine Learning · Computer Science 2026-05-08 Navdeep Kumar , Tehila Dahan , Lior Cohen , Ananyabrata Barua , Giorgia Ramponi , Kfir Yehuda Levy , Shie Mannor

We study the optimal sample complexity in large-scale Reinforcement Learning (RL) problems with policy space generalization, i.e. the agent has a prior knowledge that the optimal policy lies in a known policy space. Existing results show…

Machine Learning · Computer Science 2020-08-18 Wenlong Mou , Zheng Wen , Xi Chen

We consider infinite-horizon $\gamma$-discounted (linear) constrained Markov decision processes (CMDPs) where the objective is to find a policy that maximizes the expected cumulative reward subject to expected cumulative constraints. Given…

Machine Learning · Computer Science 2025-10-29 Xingtu Liu , Lin F. Yang , Sharan Vaswani

Bugs in popular distributed protocol implementations have been the source of many downtimes in popular internet services. We describe a randomized testing approach for distributed protocol implementations based on reinforcement learning.…

Software Engineering · Computer Science 2024-09-05 Andrea Borgarelli , Constantin Enea , Rupak Majumdar , Srinidhi Nagendra