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We consider inexact policy iteration methods for large-scale infinite-horizon discounted MDPs with finite spaces, a variant of policy iteration where the policy evaluation step is implemented inexactly using an iterative solver for linear…

Optimization and Control · Mathematics 2024-04-10 Matilde Gargiani , Robin Sieber , Efe Balta , Dominic Liao-McPherson , John Lygeros

This work introduces a novel deep learning-based architecture, termed the Deep Belief Markov Model (DBMM), which provides efficient, model-formulation agnostic inference in Partially Observable Markov Decision Process (POMDP) problems. The…

Machine Learning · Computer Science 2025-03-18 Giacomo Arcieri , Konstantinos G. Papakonstantinou , Daniel Straub , Eleni Chatzi

A novel reinforcement learning scheme to synthesize policies for continuous-space Markov decision processes (MDPs) is proposed. This scheme enables one to apply model-free, off-the-shelf reinforcement learning algorithms for finite MDPs to…

Systems and Control · Electrical Eng. & Systems 2020-03-03 Abolfazl Lavaei , Fabio Somenzi , Sadegh Soudjani , Ashutosh Trivedi , Majid Zamani

The current dominant paradigm in sensorimotor control, whether imitation or reinforcement learning, is to train policies directly in raw action spaces such as torque, joint angle, or end-effector position. This forces the agent to make…

Machine Learning · Computer Science 2020-12-07 Shikhar Bahl , Mustafa Mukadam , Abhinav Gupta , Deepak Pathak

This paper studies the sample-efficiency of learning in Partially Observable Markov Decision Processes (POMDPs), a challenging problem in reinforcement learning that is known to be exponentially hard in the worst-case. Motivated by…

Machine Learning · Computer Science 2023-07-07 Jiacheng Guo , Minshuo Chen , Huan Wang , Caiming Xiong , Mengdi Wang , Yu Bai

Partially observable Markov decision processes (POMDPs) form a prominent model for uncertainty in sequential decision making. We are interested in constructing algorithms with theoretical guarantees to determine whether the agent has a…

Artificial Intelligence · Computer Science 2024-12-17 Marius Belly , Nathanaël Fijalkow , Hugo Gimbert , Florian Horn , Guillermo A. Pérez , Pierre Vandenhove

We consider the problem of controlling a fully specified Markov decision process (MDP), also known as the planning problem, when the state space is very large and calculating the optimal policy is intractable. Instead, we pursue the more…

Optimization and Control · Mathematics 2019-01-09 Yasin Abbasi-Yadkori , Peter L. Bartlett , Xi Chen , Alan Malek

A Budgeted Markov Decision Process (BMDP) is an extension of a Markov Decision Process to critical applications requiring safety constraints. It relies on a notion of risk implemented in the shape of a cost signal constrained to lie below…

Machine Learning · Computer Science 2019-05-29 Nicolas Carrara , Edouard Leurent , Romain Laroche , Tanguy Urvoy , Odalric-Ambrym Maillard , Olivier Pietquin

Imitation learning is a control design paradigm that seeks to learn a control policy reproducing demonstrations from expert agents. By substituting expert demonstrations for optimal behaviours, the same paradigm leads to the design of…

Machine Learning · Computer Science 2024-12-20 Dharmesh Tailor , Dario Izzo

Recent works have studied *state entropy maximization* in reinforcement learning, in which the agent's objective is to learn a policy inducing high entropy over states visitation (Hazan et al., 2019). They typically assume full…

Machine Learning · Computer Science 2024-06-05 Riccardo Zamboni , Duilio Cirino , Marcello Restelli , Mirco Mutti

Safety and robustness are two desired properties for any reinforcement learning algorithm. CMDPs can handle additional safety constraints and RMDPs can perform well under model uncertainties. In this paper, we propose to unite these two…

Machine Learning · Computer Science 2021-08-21 Reazul Hasan Russel , Mouhacine Benosman , Jeroen Van Baar , Radu Corcodel

In most real-world reinforcement learning applications, state information is only partially observable, which breaks the Markov decision process assumption and leads to inferior performance for algorithms that conflate observations with…

Machine Learning · Computer Science 2024-06-12 Hongming Zhang , Tongzheng Ren , Chenjun Xiao , Dale Schuurmans , Bo Dai

We propose an actor-critic, model-free, and online Reinforcement Learning (RL) framework for continuous-state continuous-action Markov Decision Processes (MDPs) when the reward is highly sparse but encompasses a high-level temporal…

Machine Learning · Computer Science 2019-11-26 Lim Zun Yuan , Mohammadhosein Hasanbeig , Alessandro Abate , Daniel Kroening

Model predictive control (MPC) is a powerful, optimization-based approach for controlling dynamical systems. However, the computational complexity of online optimization can be problematic on embedded devices. Especially, when we need to…

A robust Learning Model Predictive Controller (LMPC) for uncertain systems performing iterative tasks is presented. At each iteration of the control task the closed-loop state, input and cost are stored and used in the controller design.…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Ugo Rosolia , Xiaojing Zhang , Francesco Borrelli

We consider a partially observable Markov decision problem (POMDP) that models a class of sequencing problems. Although POMDPs are typically intractable, our formulation admits tractable solution. Instead of maintaining a value function…

Artificial Intelligence · Computer Science 2013-01-14 Paat Rusmevichientong , Benjamin van Roy

Partially Observable Markov Decision Processes (POMDPs) provide a principled mathematical framework for decision-making under uncertainty. However, the exact solution to POMDPs is computationally intractable. In this paper, we address the…

Robotics · Computer Science 2026-04-03 Da Kong , Vadim Indelman

Control applications often feature tasks with similar, but not identical, dynamics. We introduce the Hidden Parameter Markov Decision Process (HiP-MDP), a framework that parametrizes a family of related dynamical systems with a…

Machine Learning · Computer Science 2013-08-19 Finale Doshi-Velez , George Konidaris

We consider finite model approximations of discrete-time partially observed Markov decision processes (POMDPs) under the discounted cost criterion. After converting the original partially observed stochastic control problem to a fully…

Systems and Control · Computer Science 2017-10-20 Naci Saldi , Serdar Yüksel , Tamás Linder

We present differentiable predictive control (DPC), a method for learning constrained neural control policies for linear systems with probabilistic performance guarantees. We employ automatic differentiation to obtain direct policy…

Systems and Control · Electrical Eng. & Systems 2022-01-28 Jan Drgona , Aaron Tuor , Draguna Vrabie
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