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In many real-world decision problems there is partially observed, hidden or latent information that remains fixed throughout an interaction. Such decision problems can be modeled as Latent Markov Decision Processes (LMDPs), where a latent…

Machine Learning · Computer Science 2024-06-27 Jeongyeol Kwon , Shie Mannor , Constantine Caramanis , Yonathan Efroni

Probabilistic hyperproperties specify quantitative relations between the probabilities of reaching different target sets of states from different initial sets of states. This class of behavioral properties is suitable for capturing…

Logic in Computer Science · Computer Science 2023-07-11 Roman Andriushchenko , Ezio Bartocci , Milan Ceska , Francesco Pontiggia , Sarah Sallinger

Autonomous agents often operate in scenarios where the state is partially observed. In addition to maximizing their cumulative reward, agents must execute complex tasks with rich temporal and logical structures. These tasks can be expressed…

Systems and Control · Electrical Eng. & Systems 2022-03-18 Krishna C. Kalagarla , Dhruva Kartik , Dongming Shen , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

This paper presents an automatic formal controller synthesis method for nonlinear sampled-data systems with safety and reachability specifications. Fundamentally, the presented method is not restricted to polynomial systems and controllers.…

Systems and Control · Computer Science 2018-12-07 Cees F. Verdier , Manuel Mazo

We study the problem of synthesizing a controller that maximizes the entropy of a partially observable Markov decision process (POMDP) subject to a constraint on the expected total reward. Such a controller minimizes the predictability of…

Optimization and Control · Mathematics 2021-05-18 Yagiz Savas , Michael Hibbard , Bo Wu , Takashi Tanaka , Ufuk Topcu

Given a Markov decision process (MDP) and a linear-time ($\omega$-regular or LTL) specification, the controller synthesis problem aims to compute the optimal policy that satisfies the specification. More recently, problems that reason over…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Alvaro Velasquez , Ismail Alkhouri , Andre Beckus , Ashutosh Trivedi , George Atia

Standard value function approaches to finding policies for Partially Observable Markov Decision Processes (POMDPs) are generally considered to be intractable for large models. The intractability of these algorithms is to a large extent a…

Artificial Intelligence · Computer Science 2011-10-05 N. Roy , G. Gordon , S. Thrun

Autonomous agents are limited in their ability to observe the world state. Partially observable Markov decision processes (POMDPs) formally model the problem of planning under world state uncertainty, but POMDPs with continuous actions and…

Robotics · Computer Science 2020-07-08 Dicong Qiu , Yibiao Zhao , Chris L. Baker

In off policy evaluation (OPE) for partially observable Markov decision processes (POMDPs), an agent must infer hidden states from past observations, which exacerbates both the curse of horizon and the curse of memory in existing OPE…

Machine Learning · Statistics 2026-03-04 Youheng Zhu , Yiping Lu

Partially Observable Markov Decision Processes (POMDPs) are rich environments often used in machine learning. But the issue of information and causal structures in POMDPs has been relatively little studied. This paper presents the concepts…

Artificial Intelligence · Computer Science 2018-01-16 Stuart Armstrong

We present a technique for speeding up the convergence of value iteration for partially observable Markov decisions processes (POMDPs). The underlying idea is similar to that behind modified policy iteration for fully observable Markov…

Artificial Intelligence · Computer Science 2013-01-30 Nevin Lianwen Zhang , Stephen S. Lee , Weihong Zhang

We consider off-policy evaluation (OPE) in Partially Observable Markov Decision Processes, where the evaluation policy depends only on observable variables but the behavior policy depends on latent states (Tennenholtz et al. (2020a)). Prior…

Machine Learning · Computer Science 2021-09-23 Yash Nair , Nan Jiang

This paper introduces a simple efficient learning algorithms for general sequential decision making. The algorithm combines Optimism for exploration with Maximum Likelihood Estimation for model estimation, which is thus named OMLE. We prove…

Machine Learning · Computer Science 2022-11-24 Qinghua Liu , Praneeth Netrapalli , Csaba Szepesvári , Chi Jin

This paper presents a feature-based Partially Observable Markov Decision Process (POMDP) framework for quantum network routing, combining belief-state planning with Graph Neural Networks (GNNs) to address partial observability, decoherence,…

Quantum Physics · Physics 2025-09-11 Amirhossein Taherpour , Abbas Taherpour , Tamer Khattab

Hidden Markov models (HMMs) and partially observable Markov decision processes (POMDPs) form a useful tool for modeling dynamical systems. They are particularly useful for representing environments such as road networks and office…

Artificial Intelligence · Computer Science 2013-01-30 Hagit Shatkay

Deciding which sensing capabilities to deploy on an agent in uncertain domains is a fundamental engineering challenge, in which one balances task achievability against the high costs of hardware and processing. This problem has previously…

Artificial Intelligence · Computer Science 2026-05-22 Adrian Zvizdenco , Arthur Conrado Veiga Bosquetti , Alberto Lluch Lafuente , Christoph Matheja

We consider off-policy evaluation of dynamic treatment rules under sequential ignorability, given an assumption that the underlying system can be modeled as a partially observed Markov decision process (POMDP). We propose an estimator,…

Machine Learning · Computer Science 2023-05-10 Yuchen Hu , Stefan Wager

Planning under partial obervability is essential for autonomous robots. A principled way to address such planning problems is the Partially Observable Markov Decision Process (POMDP). Although solving POMDPs is computationally intractable,…

Robotics · Computer Science 2019-07-24 Marcus Hoerger , Hanna Kurniawati , Alberto Elfes

Markov decision processes (MDP) are useful to model optimisation problems in concurrent systems. To verify MDPs with efficient Monte Carlo techniques requires that their nondeterminism be resolved by a scheduler. Recent work has introduced…

Data Structures and Algorithms · Computer Science 2016-11-15 Pedro D'Argenio , Axel Legay , Sean Sedwards , Louis-Marie Traonouez

We propose a new approach to the problem of searching a space of policies for a Markov decision process (MDP) or a partially observable Markov decision process (POMDP), given a model. Our approach is based on the following observation: Any…

Artificial Intelligence · Computer Science 2013-01-18 Andrew Y. Ng , Michael I. Jordan
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