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Learning the continuous dynamics of a system from snapshots of its temporal marginals is a problem which appears throughout natural sciences and machine learning, including in quantum systems, single-cell biological data, and generative…

Machine Learning · Computer Science 2023-06-12 Kirill Neklyudov , Rob Brekelmans , Daniel Severo , Alireza Makhzani

We study reinforcement learning in MDPs whose transition function is stochastic at most steps but may behave adversarially at a fixed subset of $\Lambda$ steps per episode. This model captures environments that are stable except at a few…

Machine Learning · Computer Science 2026-02-11 Ofir Schlisselberg , Tal Lancewicki , Yishay Mansour

Learning is usually performed by observing real robot executions. Physics-based simulators are a good alternative for providing highly valuable information while avoiding costly and potentially destructive robot executions. We present a…

Modeling unknown systems from data is a precursor of system optimization and sequential decision making. In this paper, we focus on learning a Markov model from a single trajectory of states. Suppose that the transition model has a small…

Methodology · Statistics 2020-11-30 Ziwei Zhu , Xudong Li , Mengdi Wang , Anru Zhang

Markov decision processes (MDPs) are widely used for modeling decision-making problems in robotics, automated control, and economics. Traditional MDPs assume that the decision maker (DM) knows all states and actions. However, this may not…

Artificial Intelligence · Computer Science 2014-07-29 Joseph Y. Halpern , Nan Rong , Ashutosh Saxena

Markov decision processes (MDPs) are widely used for modeling decision-making problems in robotics, automated control, and economics. Traditional MDPs assume that the decision maker (DM) knows all states and actions. However, this may not…

Artificial Intelligence · Computer Science 2010-06-14 Joseph Y. Halpern , Nan Rong , Ashutosh Saxena

We present metrics for measuring state similarity in Markov decision processes (MDPs) with infinitely many states, including MDPs with continuous state spaces. Such metrics provide a stable quantitative analogue of the notion of…

Artificial Intelligence · Computer Science 2012-07-09 Norman Ferns , Prakash Panangaden , Doina Precup

We study a system with finitely many groups of multi-action bandit processes, each of which is a Markov decision process (MDP) with finite state and action spaces and potentially different transition matrices when taking different actions.…

Optimization and Control · Mathematics 2024-12-05 Jing Fu , Bill Moran , José Niño-Mora

This paper investigates MDPs with intermittent state information. We consider a scenario where the controller perceives the state information of the process via an unreliable communication channel. The transmissions of state information…

Artificial Intelligence · Computer Science 2025-02-17 Gongpu Chen , Soung-Chang Liew

A dynamical system may be defined by a simple transition law - such as a map or a vector field. The objective of most learning techniques is to reconstruct this dynamic transition law. This is a major shortcoming, as most dynamic properties…

Dynamical Systems · Mathematics 2024-09-10 Suddhasattwa Das

Behavioural distances provide a robust alternative to notions of equivalence such as bisimilarity in the context of probabilistic transition systems. They can be defined as least fixed points, whose universal property allows us to exhibit…

Logic in Computer Science · Computer Science 2025-10-14 Ruben Turkenburg , Harsh Beohar , Franck van Breugel , Clemens Kupke , Jurriaan Rot

The sense of touch, being the earliest sensory system to develop in a human body [1], plays a critical part of our daily interaction with the environment. In order to successfully complete a task, many manipulation interactions require…

Robotics · Computer Science 2017-05-18 Jaeyong Sung , J. Kenneth Salisbury , Ashutosh Saxena

Mapping the surrounding environment is essential for the successful operation of autonomous robots. While extensive research has focused on mapping geometric structures and static objects, the environment is also influenced by the movement…

Robotics · Computer Science 2023-09-04 Junyi Shi , Tomasz Piotr Kucner

Policy Mirror Descent (PMD) is a powerful and theoretically sound methodology for sequential decision-making. However, it is not directly applicable to Reinforcement Learning (RL) due to the inaccessibility of explicit action-value…

Machine Learning · Computer Science 2024-11-01 Pietro Novelli , Marco Pratticò , Massimiliano Pontil , Carlo Ciliberto

We address the problem of approximate model minimization for MDPs in which the state is partitioned into endogenous and (much larger) exogenous components. An exogenous state variable is one whose dynamics are independent of the agent's…

Machine Learning · Computer Science 2019-10-01 Rohan Chitnis , Tomás Lozano-Pérez

We present a new geometric interpretation of Markov Decision Processes (MDPs) with a natural normalization procedure that allows us to adjust the value function at each state without altering the advantage of any action with respect to any…

Machine Learning · Computer Science 2025-03-06 Arsenii Mustafin , Aleksei Pakharev , Alex Olshevsky , Ioannis Ch. Paschalidis

We consider controller synthesis for stochastic and partially unknown environments in which safety is essential. Specifically, we abstract the problem as a Markov decision process in which the expected performance is measured using a cost…

Software Engineering · Computer Science 2015-10-21 Sebastian Junges , Nils Jansen , Christian Dehnert , Ufuk Topcu , Joost-Pieter Katoen

Policy gradient methods are among the most effective methods in challenging reinforcement learning problems with large state and/or action spaces. However, little is known about even their most basic theoretical convergence properties,…

Machine Learning · Computer Science 2020-10-16 Alekh Agarwal , Sham M. Kakade , Jason D. Lee , Gaurav Mahajan

We consider a finite number of $N$ statistically equal agents, each moving on a finite set of states according to a continuous-time Markov Decision Process (MDP). Transition intensities of the agents and generated rewards depend not only on…

Probability · Mathematics 2025-09-23 Nicole Bäuerle , Sebastian Höfer

A key approach to state abstraction is approximating behavioral metrics (notably, bisimulation metrics) in the observation space and embedding these learned distances in the representation space. While promising for robustness to…

Machine Learning · Computer Science 2025-09-10 Ziyan Luo , Tianwei Ni , Pierre-Luc Bacon , Doina Precup , Xujie Si