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We consider the stochastic shortest path (SSP) problem for succinct Markov decision processes (MDPs), where the MDP consists of a set of variables, and a set of nondeterministic rules that update the variables. First, we show that several…

编程语言 · 计算机科学 2018-07-18 Krishnendu Chatterjee , Hongfei Fu , Amir Kafshdar Goharshady , Nastaran Okati

In hierarchical planning for Markov decision processes (MDPs), temporal abstraction allows planning with macro-actions that take place at different time scale in form of sequential composition. In this paper, we propose a novel approach to…

最优化与控制 · 数学 2019-07-24 Xuan Liu , Jie Fu

Iterative learning control (ILC) improves the performance of a repetitive system by learning from previous trials. ILC can be combined with Model Predictive Control (MPC) to mitigate non-repetitive disturbances, thus improving overall…

系统与控制 · 电气工程与系统科学 2025-03-26 Riccardo Zuliani , Efe C. Balta , Alisa Rupenyan , John Lygeros

A matrix optimization problem over an uncertain linear system on finite horizon (abbreviated as MOPUL) is studied, in which the uncertain transition matrix is regarded as a decision variable. This problem is in general NP-hard. By using the…

最优化与控制 · 数学 2023-10-31 Jintao Xu , Shu-Cherng Fang , Wenxun Xing

Certifying the safety or robustness of neural networks against input uncertainties and adversarial attacks is an emerging challenge in the area of safe machine learning and control. To provide such a guarantee, one must be able to bound the…

最优化与控制 · 数学 2021-09-16 Mahyar Fazlyab , Manfred Morari , George J. Pappas

Recent works in Learning-Based Model Predictive Control of dynamical systems show impressive sample complexity performances using criteria from Information Theory to accelerate the learning procedure. However, the sequential exploration…

机器学习 · 计算机科学 2026-02-25 Rémy Hosseinkhan-Boucher , Onofrio Semeraro , Lionel Mathelin

Designing control policies for large, distributed systems is challenging, especially in the context of critical, temporal logic based specifications (e.g., safety) that must be met with high probability. Compositional methods for such…

系统与控制 · 电气工程与系统科学 2024-10-08 Krishna C. Kalagarla , Matthew Low , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

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…

人工智能 · 计算机科学 2018-02-28 Steven Carr , Nils Jansen , Ralf Wimmer , Jie Fu , Ufuk Topcu

Practical reinforcement learning problems are often formulated as constrained Markov decision process (CMDP) problems, in which the agent has to maximize the expected return while satisfying a set of prescribed safety constraints. In this…

机器学习 · 计算机科学 2019-09-23 Shin-ichi Maeda , Hayato Watahiki , Shintarou Okada , Masanori Koyama

We present a method to generate a robot control strategy that maximizes the probability to accomplish a task. The task is given as a Linear Temporal Logic (LTL) formula over a set of properties that can be satisfied at the regions of a…

最优化与控制 · 数学 2015-03-19 Xu Chu Ding , Stephen L. Smith , Calin Belta , Daniela Rus

Preferences play a key role in determining what goals/constraints to satisfy when not all constraints can be satisfied simultaneously. In this paper, we study how to synthesize preference satisfying plans in stochastic systems, modeled as…

人工智能 · 计算机科学 2022-10-06 Abhishek N. Kulkarni , Jie Fu

Automated synthesis of provably correct controllers for cyber-physical systems is crucial for deployment in safety-critical scenarios. However, hybrid features and stochastic or unknown behaviours make this problem challenging. We propose a…

系统与控制 · 电气工程与系统科学 2023-08-07 Luke Rickard , Thom Badings , Licio Romao , Alessandro Abate

Markov Decision Processes (MDPs) are a popular class of models suitable for solving control decision problems in probabilistic reactive systems. We consider parametric MDPs (pMDPs) that include parameters in some of the transition…

计算机科学中的逻辑 · 计算机科学 2018-06-14 Sebastian Arming , Ezio Bartocci , Krishnendu Chatterjee , Joost-Pieter Katoen , Ana Sokolova

We present the problem of reinforcement learning with exogenous termination. We define the Termination Markov Decision Process (TerMDP), an extension of the MDP framework, in which episodes may be interrupted by an external non-Markovian…

机器学习 · 计算机科学 2023-10-09 Guy Tennenholtz , Nadav Merlis , Lior Shani , Shie Mannor , Uri Shalit , Gal Chechik , Assaf Hallak , Gal Dalal

Integrated task and motion planning has emerged as a challenging problem in sequential decision making, where a robot needs to compute high-level strategy and low-level motion plans for solving complex tasks. While high-level strategies…

人工智能 · 计算机科学 2018-02-19 Siddharth Srivastava , Nishant Desai , Richard Freedman , Shlomo Zilberstein

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…

最优化与控制 · 数学 2021-08-24 R. Reid Bishop , Chelsea C. White

Imitation learning (IL) provides a data-driven framework for approximating policies for large-scale combinatorial optimisation problems formulated as sequential decision problems (SDPs), where exact solution methods are computationally…

机器学习 · 计算机科学 2026-04-13 Prakash Gawas , Antoine Legrain , Louis-Martin Rousseau

Partially observable Markov decision processes (POMDPs) are a powerful abstraction for tasks that require decision making under uncertainty, and capture a wide range of real world tasks. Today, effective planning approaches exist that…

机器学习 · 统计学 2018-05-24 Sebastian Tschiatschek , Kai Arulkumaran , Jan Stühmer , Katja Hofmann

Markov decision processes (MDPs) are a popular model for performance analysis and optimization of stochastic systems. The parameters of stochastic behavior of MDPs are estimates from empirical observations of a system; their values are not…

人工智能 · 计算机科学 2017-10-26 Dimitri Scheftelowitsch , Peter Buchholz , Vahid Hashemi , Holger Hermanns

This paper proposes a formal approach to online learning and planning for agents operating in a priori unknown, time-varying environments. The proposed method computes the maximally likely model of the environment, given the observations…

机器学习 · 计算机科学 2021-02-09 Melkior Ornik , Ufuk Topcu