English
Related papers

Related papers: Verification of Uncertain POMDPs Using Barrier Cer…

200 papers

Verifying the behaviors of autonomous systems with learned perception components is a challenging problem due to the complexity of the perception and the uncertainty of operating environments. Probabilistic model checking is a powerful tool…

Formal Languages and Automata Theory · Computer Science 2025-07-30 Matthew Cleaveland , Pengyuan Lu , Oleg Sokolsky , Insup Lee , Ivan Ruchkin

This work examines the hypothesis that partially observable Markov decision process (POMDP) planning with human driver internal states can significantly improve both safety and efficiency in autonomous freeway driving. We evaluate this…

Artificial Intelligence · Computer Science 2022-06-13 Zachary Sunberg , Mykel Kochenderfer

The threats posed by evolving cyberattacks have led to increased research related to software systems that can self-protect. One topic in this domain is Moving Target Defense (MTD), which changes software characteristics in the protected…

Software Engineering · Computer Science 2023-08-10 Ryan Liu , Ladan Tahvildari

Partially observable Markov decision processes (POMDPs) are a principled planning model for sequential decision-making under uncertainty. Yet, real-world problems with high-dimensional observations, such as camera images, remain intractable…

Machine Learning · Computer Science 2026-02-06 Miriam Schäfers , Merlijn Krale , Thiago D. Simão , Nils Jansen , Maximilian Weininger

In this paper, we revisit the formal verification problem for stochastic dynamical systems over finite horizon using barrier certificates. Most existing work on this topic focuses on safety properties by constructing barrier certificates…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Yu Chen , Shaoyuan Li , Xiang Yin

This paper investigates the problem of safety certification for black-box discrete-time stochastic systems, where both the system dynamics and disturbance distributions are unknown, and only sampled data are available. Under such limited…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Taoran Wu , Dominik Wagner , Jingduo Pan , Luke Ong , Arvind Easwaran , Bai Xue

Recent advances in Deep Machine Learning have shown promise in solving complex perception and control loops via methods such as reinforcement and imitation learning. However, guaranteeing safety for such learned deep policies has been a…

Robotics · Computer Science 2020-03-03 Tom Hirshberg , Sai Vemprala , Ashish Kapoor

A large class of decision making under uncertainty problems can be described via Markov decision processes (MDPs) or partially observable MDPs (POMDPs), with application to artificial intelligence and operations research, among others.…

Artificial Intelligence · Computer Science 2021-09-10 Mohamadreza Ahmadi , Ugo Rosolia , Michel D. Ingham , Richard M. Murray , Aaron D. Ames

The partially observable Markov decision process (POMDP) provides a principled general model for planning under uncertainty. However, solving a general POMDP is computationally intractable in the worst case. This paper introduces…

Artificial Intelligence · Computer Science 2016-02-24 Min Chen , Emilio Frazzoli , David Hsu , Wee Sun Lee

Partially observable Markov decision processes (POMDPs) are a natural model for planning problems where effects of actions are nondeterministic and the state of the world is not completely observable. It is difficult to solve POMDPs…

Artificial Intelligence · Computer Science 2009-09-25 N. L. Zhang , W. Liu

This paper is on decision making of autonomous vehicles for handling roundabouts. The round intersection is introduced first followed by the Markov Decision Processes (MDP), the Partially Observable Markov Decision Processes (POMDP) and the…

Systems and Control · Electrical Eng. & Systems 2023-04-28 Xinchen Li , Levent Guvenc , Bilin Aksun-Guvenc

Markov decision processes (MDPs) are a standard model for sequential decision-making problems and are widely used across many scientific areas, including formal methods and artificial intelligence (AI). MDPs do, however, come with the…

Artificial Intelligence · Computer Science 2024-12-11 Marnix Suilen , Thom Badings , Eline M. Bovy , David Parker , Nils Jansen

Partially Observable Markov Decision Processes (POMDPs) offer a promising world representation for autonomous agents, as they can model both transitional and perceptual uncertainties. Calculating the optimal solution to POMDP problems can…

Artificial Intelligence · Computer Science 2022-10-25 Sigurdur Orn Adalgeirsson , Cynthia Breazeal

We consider a class of sequential decision-making problems under uncertainty that can encompass various types of supervised learning concepts. These problems have a completely observed state process and a partially observed modulation…

Optimization and Control · Mathematics 2021-08-24 R. Reid Bishop , Chelsea C. White

We consider partially observable Markov decision processes (POMDPs), that are a standard framework for robotics applications to model uncertainties present in the real world, with temporal logic specifications. All temporal logic…

Logic in Computer Science · Computer Science 2015-02-19 Krishnendu Chatterjee , Martin Chmelík , Raghav Gupta , Ayush Kanodia

Markov Decision Processes (MDPs) have been used to formulate many decision-making problems in science and engineering. The objective is to synthesize the best decision (action selection) policies to maximize expected rewards (or minimize…

Optimization and Control · Mathematics 2015-07-07 Mahmoud El Chamie , Behcet Acikmese

In this letter, we detail our randomized approach to safety-critical system verification. Our method requires limited system data to make a strong verification statement. Specifically, our method first randomly samples initial conditions…

Systems and Control · Electrical Eng. & Systems 2022-02-24 Prithvi Akella , Aaron D. Ames

Autonomous agents that drive on roads shared with human drivers must reason about the nuanced interactions among traffic participants. This poses a highly challenging decision making problem since human behavior is influenced by a multitude…

Robotics · Computer Science 2023-03-30 Salar Arbabi , Davide Tavernini , Saber Fallah , Richard Bowden

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

We are interested in enabling autonomous agents to learn and reason about systems with hidden states, such as locking mechanisms. We cast this problem as learning the parameters of a discrete Partially Observable Markov Decision Process…

Machine Learning · Computer Science 2026-02-04 Seiji Shaw , Travis Manderson , Chad Kessens , Nicholas Roy