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We present metrics for measuring the similarity of states in a finite Markov decision process (MDP). The formulation of our metrics is based on the notion of bisimulation for MDPs, with an aim towards solving discounted infinite horizon…

Artificial Intelligence · Computer Science 2012-07-19 Norman Ferns , Prakash Panangaden , Doina Precup

Due to information asymmetry, finding optimal policies for Decentralized Partially Observable Markov Decision Processes (Dec-POMDPs) is hard with the complexity growing doubly exponentially in the horizon length. The challenge increases…

Machine Learning · Computer Science 2021-10-26 Hsu Kao , Vijay Subramanian

We study upper and lower bounds on the sample-complexity of learning near-optimal behaviour in finite-state discounted Markov Decision Processes (MDPs). For the upper bound we make the assumption that each action leads to at most two…

Machine Learning · Computer Science 2013-05-17 Tor Lattimore , Marcus Hutter

While reinforcement learning has achieved considerable successes in recent years, state-of-the-art models are often still limited by the size of state and action spaces. Model-free reinforcement learning approaches use some form of state…

Machine Learning · Computer Science 2021-08-23 Paul J. Pritz , Liang Ma , Kin K. Leung

We introduce a new formulation of the Hidden Parameter Markov Decision Process (HiP-MDP), a framework for modeling families of related tasks using low-dimensional latent embeddings. Our new framework correctly models the joint uncertainty…

Machine Learning · Statistics 2017-11-01 Taylor Killian , Samuel Daulton , George Konidaris , Finale Doshi-Velez

Deep reinforcement learning (RL) algorithms have achieved great success on a wide variety of sequential decision-making tasks. However, many of these algorithms suffer from high sample complexity when learning from scratch using…

Machine Learning · Statistics 2020-06-15 Michael Wan , Tanmay Gangwani , Jian Peng

Imitation Learning (IL) is a popular paradigm for training agents to achieve complicated goals by leveraging expert behavior, rather than dealing with the hardships of designing a correct reward function. With the environment modeled as a…

Machine Learning · Statistics 2020-02-28 Tanmay Gangwani , Jian Peng

The key assumption underlying linear Markov Decision Processes (MDPs) is that the learner has access to a known feature map $\phi(x, a)$ that maps state-action pairs to $d$-dimensional vectors, and that the rewards and transitions are…

Machine Learning · Computer Science 2023-09-20 Noah Golowich , Ankur Moitra , Dhruv Rohatgi

We consider an agent interacting with an environment in a single stream of actions, observations, and rewards, with no reset. This process is not assumed to be a Markov Decision Process (MDP). Rather, the agent has several representations…

Machine Learning · Computer Science 2013-03-19 Odalric-Ambrym Maillard , Phuong Nguyen , Ronald Ortner , Daniil Ryabko

Imitation learning seeks to circumvent the difficulty in designing proper reward functions for training agents by utilizing expert behavior. With environments modeled as Markov Decision Processes (MDP), most of the existing imitation…

Machine Learning · Computer Science 2021-05-24 Dripta S. Raychaudhuri , Sujoy Paul , Jeroen van Baar , Amit K. Roy-Chowdhury

Advances in reinforcement learning have led to its successful application in complex tasks with continuous state and action spaces. Despite these advances in practice, most theoretical work pertains to finite state and action spaces. We…

Machine Learning · Computer Science 2024-08-13 Saket Tiwari , Omer Gottesman , George Konidaris

To realize autonomous collaborative robots, it is important to increase the trust that users have in them. Toward this goal, this paper proposes an algorithm which endows an autonomous agent with the ability to explain the transition from…

Artificial Intelligence · Computer Science 2021-05-07 Tatsuya Sakai , Kazuki Miyazawa , Takato Horii , Takayuki Nagai

Many control tasks exhibit similar dynamics that can be modeled as having common latent structure. Hidden-Parameter Markov Decision Processes (HiP-MDPs) explicitly model this structure to improve sample efficiency in multi-task settings.…

Machine Learning · Computer Science 2021-02-15 Amy Zhang , Shagun Sodhani , Khimya Khetarpal , Joelle Pineau

Within the framework of probably approximately correct Markov decision processes (PAC-MDP), much theoretical work has focused on methods to attain near optimality after a relatively long period of learning and exploration. However,…

Artificial Intelligence · Computer Science 2016-04-06 Kenji Kawaguchi

This work exploits action equivariance for representation learning in reinforcement learning. Equivariance under actions states that transitions in the input space are mirrored by equivalent transitions in latent space, while the map and…

Machine Learning · Computer Science 2020-02-28 Elise van der Pol , Thomas Kipf , Frans A. Oliehoek , Max Welling

General-purpose agents require fine-grained controls and rich sensory inputs to perform a wide range of tasks. However, this complexity often leads to intractable decision-making. Traditionally, agents are provided with task-specific action…

Machine Learning · Computer Science 2024-06-25 Rafael Rodriguez-Sanchez , George Konidaris

Learning a near optimal policy in a partially observable system remains an elusive challenge in contemporary reinforcement learning. In this work, we consider episodic reinforcement learning in a reward-mixing Markov decision process (MDP).…

Machine Learning · Computer Science 2022-02-01 Jeongyeol Kwon , Yonathan Efroni , Constantine Caramanis , Shie Mannor

Estimating the state of an environment from high-dimensional, multimodal, and noisy observations is a fundamental challenge in reinforcement learning (RL). Traditional approaches rely on probabilistic models to account for the uncertainty,…

Machine Learning · Computer Science 2026-02-13 Alfredo Reichlin , Adriano Pacciarelli , Danica Kragic , Miguel Vasco

Matrix product operators allow efficient descriptions (or realizations) of states on a 1D lattice. We consider the task of learning a realization of minimal dimension from copies of an unknown state, such that the resulting operator is…

Quantum Physics · Physics 2025-03-07 Marco Fanizza , Niklas Galke , Josep Lumbreras , Cambyse Rouzé , Andreas Winter

In many practical sequential decision-making problems, tracking the state of the environment incurs a sensing/communication/computation cost. In these settings, the agent's interaction with its environment includes the additional component…

Machine Learning · Computer Science 2026-04-16 Vansh Kapoor , Jayakrishnan Nair