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The standard formulation of Markov decision processes (MDPs) assumes that the agent's decisions are executed immediately. However, in numerous realistic applications such as robotics or healthcare, actions are performed with a delay whose…

人工智能 · 计算机科学 2024-04-09 David Valensi , Esther Derman , Shie Mannor , Gal Dalal

Many problems in sequential decision making and stochastic control often have natural multiscale structure: sub-tasks are assembled together to accomplish complex goals. Systematically inferring and leveraging hierarchical structure,…

人工智能 · 计算机科学 2012-12-06 Jake Bouvrie , Mauro Maggioni

We study model-based learning of finite-window policies in tabular partially observable Markov decision processes (POMDPs). A common approach to learning under partial observability is to approximate unbounded history dependencies using…

机器学习 · 计算机科学 2026-04-02 Philip Jordan , Maryam Kamgarpour

We study and provide efficient algorithms for multi-objective model checking problems for Markov Decision Processes (MDPs). Given an MDP, M, and given multiple linear-time (\omega -regular or LTL) properties \varphi\_i, and probabilities…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Kousha Etessami , Marta Kwiatkowska , Moshe Y. Vardi , Mihalis Yannakakis

We consider synthesis of control policies that maximize the probability of satisfying given temporal logic specifications in unknown, stochastic environments. We model the interaction between the system and its environment as a Markov…

系统与控制 · 计算机科学 2014-05-01 Jie Fu , Ufuk Topcu

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

Graph games and Markov decision processes (MDPs) are standard models in reactive synthesis and verification of probabilistic systems with nondeterminism. The class of $\omega$-regular winning conditions; e.g., safety, reachability,…

计算机科学中的逻辑 · 计算机科学 2019-06-28 Pranav Ashok , Tomáš Brázdil , Krishnendu Chatterjee , Jan Křetínský , Christoph H. Lampert , Viktor Toman

Policy-based algorithms are among the most widely adopted techniques in model-free RL, thanks to their strong theoretical groundings and good properties in continuous action spaces. Unfortunately, these methods require precise and…

机器学习 · 计算机科学 2023-06-14 Luca Sabbioni , Francesco Corda , Marcello Restelli

Probabilistic Computation Tree Logic (PCTL) is frequently used to formally specify control objectives such as probabilistic reachability and safety. In this work, we focus on model checking PCTL specifications statistically on Markov…

机器学习 · 计算机科学 2020-04-23 Yu Wang , Nima Roohi , Matthew West , Mahesh Viswanathan , Geir E. Dullerud

We introduce a method to verify stochastic reinforcement learning (RL) policies. This approach is compatible with any RL algorithm as long as the algorithm and its corresponding environment collectively adhere to the Markov property. In…

人工智能 · 计算机科学 2024-03-28 Dennis Gross , Helge Spieker

Probabilistic model checking can provide formal guarantees on the behavior of stochastic models relating to a wide range of quantitative properties, such as runtime, energy consumption or cost. But decision making is typically with respect…

计算机科学中的逻辑 · 计算机科学 2024-03-19 Ingy Elsayed-Aly , David Parker , Lu Feng

Decentralized partially observable Markov decision processes (Dec-POMDPs) are rich models for cooperative decision-making under uncertainty, but are often intractable to solve optimally (NEXP-complete). The transition and observation…

人工智能 · 计算机科学 2012-10-19 Jilles S. Dibangoye , Christopher Amato , Arnoud Doniec

Interpretability of AI models allows for user safety checks to build trust in such AIs. In particular, Decision Trees (DTs) provide a global look at the learned model and transparently reveal which features of the input are critical for…

机器学习 · 计算机科学 2024-01-23 Hector Kohler , Riad Akrour , Philippe Preux

Value iteration is a well-known method of solving Markov Decision Processes (MDPs) that is simple to implement and boasts strong theoretical convergence guarantees. However, the computational cost of value iteration quickly becomes…

机器学习 · 计算机科学 2021-07-26 Guanting Chen , Johann Demetrio Gaebler , Matt Peng , Chunlin Sun , Yinyu Ye

It is well known that for any finite state Markov decision process (MDP) there is a memoryless deterministic policy that maximizes the expected reward. For partially observable Markov decision processes (POMDPs), optimal memoryless policies…

最优化与控制 · 数学 2016-02-16 Guido Montufar , Keyan Ghazi-Zahedi , Nihat Ay

Stochastic and soft optimal policies resulting from entropy-regularized Markov decision processes (ER-MDP) are desirable for exploration and imitation learning applications. Motivated by the fact that such policies are sensitive with…

机器学习 · 计算机科学 2022-01-03 Tien Mai , Patrick Jaillet

Bayesian approaches developed to solve the optimal design of sequential experiments are mathematically elegant but computationally challenging. Recently, techniques using amortization have been proposed to make these Bayesian approaches…

机器学习 · 计算机科学 2022-06-20 Tom Blau , Edwin V. Bonilla , Iadine Chades , Amir Dezfouli

To overcome the curses of dimensionality and modeling of Dynamic Programming (DP) methods to solve Markov Decision Process (MDP) problems, Reinforcement Learning (RL) methods are adopted in practice. Contrary to traditional RL algorithms…

机器学习 · 计算机科学 2021-08-24 Arghyadip Roy , Vivek Borkar , Abhay Karandikar , Prasanna Chaporkar

Reinforcement learning in environments with many action-state pairs is challenging. At issue is the number of episodes needed to thoroughly search the policy space. Most conventional heuristics address this search problem in a stochastic…

人工智能 · 计算机科学 2018-03-06 Isaac J. Sledge , Matthew S. Emigh , Jose C. Principe

In this paper, we consider solving discounted Markov Decision Processes (MDPs) under the constraint that the resulting policy is stabilizing. In practice MDPs are solved based on some form of policy approximation. We will leverage recent…

机器学习 · 计算机科学 2021-02-03 Mario Zanon , Sébastien Gros , Michele Palladino