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Capturing uncertainty in models of complex dynamical systems is crucial to designing safe controllers. Stochastic noise causes aleatoric uncertainty, whereas imprecise knowledge of model parameters leads to epistemic uncertainty. Several…

系统与控制 · 电气工程与系统科学 2022-12-08 Thom Badings , Licio Romao , Alessandro Abate , Nils Jansen

In this paper, we present a unified framework for decision making under uncertainty. Our framework is based on the composite of two risk measures, where the inner risk measure accounts for the risk of decision given the exact distribution…

最优化与控制 · 数学 2015-01-07 Pengyu Qian , Zizhuo Wang , Zaiwen Wen

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…

机器学习 · 计算机科学 2024-06-27 Jeongyeol Kwon , Shie Mannor , Constantine Caramanis , Yonathan Efroni

We study robust Markov decision processes (RMDPs) with non-rectangular uncertainty sets, which capture interdependencies across states unlike traditional rectangular models. While non-rectangular robust policy evaluation is generally…

In high-stake scenarios like medical treatment and auto-piloting, it's risky or even infeasible to collect online experimental data to train the agent. Simulation-based training can alleviate this issue, but may suffer from its inherent…

机器学习 · 计算机科学 2022-03-16 Jialian Li , Tongzheng Ren , Dong Yan , Hang Su , Jun Zhu

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…

人工智能 · 计算机科学 2024-12-11 Marnix Suilen , Thom Badings , Eline M. Bovy , David Parker , Nils Jansen

Deterministic model predictive control (MPC), while powerful, is often insufficient for effectively controlling autonomous systems in the real-world. Factors such as environmental noise and model error can cause deviations from the expected…

最优化与控制 · 数学 2024-07-29 Alex Oshin , Hassan Almubarak , Evangelos A. Theodorou

As robotic systems move from highly structured environments to open worlds, incorporating uncertainty from dynamics learning or state estimation into the control pipeline is essential for robust performance. In this paper we present a…

系统与控制 · 电气工程与系统科学 2021-09-14 Robert Dyro , James Harrison , Apoorva Sharma , Marco Pavone

Partial observability and uncertainty are common problems in sequential decision-making that particularly impede the use of formal models such as Markov decision processes (MDPs). However, in practice, agents may be able to employ costly…

机器学习 · 计算机科学 2023-12-19 Merlijn Krale , Thiago D. Simão , Jana Tumova , Nils Jansen

Safety in stochastic control systems, which are subject to random noise with a known probability distribution, aims to compute policies that satisfy predefined operational constraints with high confidence throughout the uncertain evolution…

系统与控制 · 电气工程与系统科学 2025-11-12 Saber Omidi , Marek Petrik , Se Young Yoon , Momotaz Begum

Deep reinforcement learning is an increasingly popular technique for synthesising policies to control an agent's interaction with its environment. There is also growing interest in formally verifying that such policies are correct and…

人工智能 · 计算机科学 2022-06-02 Edoardo Bacci , David Parker

We consider a class of partially observable Markov decision processes (POMDPs) with uncertain transition and/or observation probabilities. The uncertainty takes the form of probability intervals. Such uncertain POMDPs can be used, for…

系统与控制 · 计算机科学 2018-07-12 Mohamadreza Ahmadi , Murat Cubuktepe , Nils Jansen , Ufuk Topcu

Robust Markov decision processes (MDPs) aim to handle changing or partially known system dynamics. To solve them, one typically resorts to robust optimization methods. However, this significantly increases computational complexity and…

机器学习 · 计算机科学 2021-10-14 Esther Derman , Matthieu Geist , Shie Mannor

Robust Markov decision processes (MDPs) aim to handle changing or partially known system dynamics. To solve them, one typically resorts to robust optimization methods. However, this significantly increases computational complexity and…

机器学习 · 计算机科学 2023-03-14 Esther Derman , Yevgeniy Men , Matthieu Geist , Shie Mannor

Automated synthesis of correct-by-construction controllers for autonomous systems is crucial for their deployment in safety-critical scenarios. Such autonomous systems are naturally modeled as stochastic dynamical models. The general…

系统与控制 · 电气工程与系统科学 2023-11-17 Thom Badings , Nils Jansen , Licio Romao , Alessandro Abate

Robust Markov Decision Processes (MDPs) are receiving much attention in learning a robust policy which is less sensitive to environment changes. There are an increasing number of works analyzing sample-efficiency of robust MDPs. However,…

机器学习 · 统计学 2023-09-13 Wenhao Yang , Han Wang , Tadashi Kozuno , Scott M. Jordan , Zhihua Zhang

Fueled by advances in both robust optimization theory and reinforcement learning (RL), robust Markov Decision Processes (RMDPs) have garnered increasing attention due to their powerful capability for sequential decision-making under…

最优化与控制 · 数学 2025-07-08 Wenfan Ou , Sheng Bi

In classical Markov Decision Processes (MDPs), action costs and transition probabilities are assumed to be known, although an accurate estimation of these parameters is often not possible in practice. This study addresses MDPs under cost…

最优化与控制 · 数学 2019-06-24 Merve Merakli , Simge Kucukyavuz

Stochastic model predictive control (SMPC) has been a promising solution to complex control problems under uncertain disturbances. However, traditional SMPC approaches either require exact knowledge of probabilistic distributions, or rely…

最优化与控制 · 数学 2020-01-03 Chao Shang , Fengqi You

The deployment of autonomous systems that operate in unstructured environments necessitates algorithms to verify their safety. This can be challenging due to, e.g., black-box components in the control software, or undermodelled dynamics…

系统与控制 · 电气工程与系统科学 2020-06-17 John Jackson , Luca Laurenti , Eric Frew , Morteza Lahijanian