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Decision-making under uncertainty is a crucial ability for autonomous systems. In its most general form, this problem can be formulated as a Partially Observable Markov Decision Process (POMDP). The solution policy of a POMDP can be…

Robotics · Computer Science 2019-04-09 Sung-Kyun Kim , Rohan Thakker , Ali-akbar Agha-mohammadi

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

When human operators of cyber-physical systems encounter surprising behavior, they often consider multiple hypotheses that might explain it. In some cases, taking information-gathering actions such as additional measurements or control…

Artificial Intelligence · Computer Science 2024-11-22 Ofer Dagan , Tyler Becker , Zachary N. Sunberg

We consider the problem of planning under observation and motion uncertainty for nonlinear robotics systems. Determining the optimal solution to this problem, generally formulated as a Partially Observed Markov Decision Process (POMDP), is…

Robotics · Computer Science 2017-07-11 Mohammadhussein Rafieisakhaei , Suman Chakravorty , P. R. Kumar

Partially-Observable Markov Decision Processes (POMDPs) are typically solved by finding an approximate global solution to a corresponding belief-MDP. In this paper, we offer a new planning algorithm for POMDPs with continuous state, action…

Artificial Intelligence · Computer Science 2012-03-19 Tom Erez , William D. Smart

We present an alternative view for the study of optimal control of partially observed Markov Decision Processes (POMDPs). We first revisit the traditional (and by now standard) separated-design method of reducing the problem to fully…

Optimization and Control · Mathematics 2024-12-20 Serdar Yüksel

Ensuring safety in real-world robotic systems is often challenging due to unmodeled disturbances and noisy sensor measurements. To account for such stochastic uncertainties, many robotic systems leverage probabilistic state estimators such…

Robotics · Computer Science 2023-09-14 Matti Vahs , Christian Pek , Jana Tumova

We consider the problem of imitation learning from expert demonstrations in partially observable Markov decision processes (POMDPs). Belief representations, which characterize the distribution over the latent states in a POMDP, have been…

Machine Learning · Computer Science 2019-06-25 Tanmay Gangwani , Joel Lehman , Qiang Liu , Jian Peng

Partially Observable Markov Decision Processes (POMDPs) provide a robust framework for decision-making under uncertainty in applications such as autonomous driving and robotic exploration. Their extension, $\rho$POMDPs, introduces…

Artificial Intelligence · Computer Science 2025-02-05 Ron Benchetrit , Idan Lev-Yehudi , Andrey Zhitnikov , Vadim Indelman

To assist humans in open-world environments, robots must interpret ambiguous instructions to locate desired objects. Foundation model-based approaches excel at multimodal grounding, but they lack a principled mechanism for modeling…

Robotics · Computer Science 2026-03-06 Ivy Xiao He , Stefanie Tellex , Jason Xinyu Liu

Uncertain partially observable Markov decision processes (uPOMDPs) allow the probabilistic transition and observation functions of standard POMDPs to belong to a so-called uncertainty set. Such uncertainty, referred to as epistemic…

Artificial Intelligence · Computer Science 2021-11-02 Murat Cubuktepe , Nils Jansen , Sebastian Junges , Ahmadreza Marandi , Marnix Suilen , Ufuk Topcu

We study planning problems where autonomous agents operate inside environments that are subject to uncertainties and not fully observable. Partially observable Markov decision processes (POMDPs) are a natural formal model to capture such…

Artificial Intelligence · Computer Science 2018-02-28 Steven Carr , Nils Jansen , Ralf Wimmer , Jie Fu , Ufuk Topcu

This paper proposes a reinforcement learning method for controller synthesis of autonomous systems in unknown and partially-observable environments with subjective time-dependent safety constraints. Mathematically, we model the system…

Robotics · Computer Science 2021-04-06 Yu Wang , Alper Kamil Bozkurt , Miroslav Pajic

Mixed observable Markov decision processes (MOMDPs) are a modeling framework for autonomous systems described by both fully and partially observable states. In this work, we study the problem of synthesizing a control policy for MOMDPs that…

Systems and Control · Electrical Eng. & Systems 2021-03-03 Ugo Rosolia , Mohamadreza Ahmadi , Richard M. Murray , Aaron D. Ames

Many safety-critical control problems are modeled as risk-sensitive partially observable Markov decision processes, where the controller must make decisions from incomplete observations while balancing task performance against safety risk.…

Machine Learning · Computer Science 2026-05-15 Yushen Liu , Yin-Jen Chen , Ziyi Chen , Tao Wang , Heng Huang , Xugui Zhou , Yanfu Zhang

Partially-Observable Markov Decision Processes (POMDPs) are a well-known stochastic model for sequential decision making under limited information. We consider the EXPTIME-hard problem of synthesising policies that almost-surely reach some…

Artificial Intelligence · Computer Science 2021-03-22 Sebastian Junges , Nils Jansen , Sanjit A. Seshia

We consider the problem belief-state monitoring for the purposes of implementing a policy for a partially-observable Markov decision process (POMDP), specifically how one might approximate the belief state. Other schemes for belief-state…

Artificial Intelligence · Computer Science 2013-01-18 Pascal Poupart , Craig Boutilier

Accurate system modeling is crucial for safe, effective control, as misidentification can lead to accumulated errors, especially under partial observability. We address this problem by formulating informative input design and model…

Robotics · Computer Science 2025-05-26 Michelle Ho , Arec Jamgochian , Mykel J. Kochenderfer

Partially Observable Markov Decision Processes (POMDPs) model decision making under uncertainty. While there are many approaches to approximately solving POMDPs, we aim to address the problem of learning such models. In particular, we are…

Artificial Intelligence · Computer Science 2025-05-13 Aidan Curtis , Hao Tang , Thiago Veloso , Kevin Ellis , Joshua Tenenbaum , Tomás Lozano-Pérez , Leslie Pack Kaelbling

We study an optimal process control problem with multiple assignable causes. The process is initially in-control but is subject to random transition to one of multiple out-of-control states due to assignable causes. The objective is to find…

Optimization and Control · Mathematics 2012-12-12 Jue Wang , Chi-Guhn Lee