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Feature selection is a widely used dimension reduction technique to select feature subsets because of its interpretability. Many methods have been proposed and achieved good results, in which the relationships between adjacent data points…

机器学习 · 计算机科学 2020-06-01 Yan Min , Mao Ye , Liang Tian , Yulin Jian , Ce Zhu , Shangming Yang

We consider large-scale Markov decision processes (MDPs) with parameter uncertainty, under the robust MDP paradigm. Previous studies showed that robust MDPs, based on a minimax approach to handle uncertainty, can be solved using dynamic…

机器学习 · 计算机科学 2013-06-27 Aviv Tamar , Huan Xu , Shie Mannor

We present a general framework for applying learning algorithms and heuristical guidance to the verification of Markov decision processes (MDPs). The primary goal of our techniques is to improve performance by avoiding an exhaustive…

This work targets the development of an efficient abstraction method for formal analysis and control synthesis of discrete-time stochastic hybrid systems (SHS) with linear dynamics. The focus is on temporal logic specifications, both over…

系统与控制 · 电气工程与系统科学 2024-12-20 Nathalie Cauchi , Luca Laurenti , Morteza Lahijanian , Alessandro Abate , Marta Kwiatkowska , Luca Cardelli

Solving large-scale multistage stochastic programming (MSP) problems poses a significant challenge as commonly used stagewise decomposition algorithms, including stochastic dual dynamic programming (SDDP), face growing time complexity as…

机器学习 · 计算机科学 2025-02-12 Chanyeong Kim , Jongwoong Park , Hyunglip Bae , Woo Chang Kim

We study stochastic planning problems in Markov Decision Processes (MDPs) with goals specified in Linear Temporal Logic (LTL). The state-of-the-art approach transforms LTL formulas into good-for-MDP (GFM) automata, which feature a…

形式语言与自动机理论 · 计算机科学 2025-11-18 Christoph Weinhuber , Giuseppe De Giacomo , Yong Li , Sven Schewe , Qiyi Tang

We study an approximation method for partially observed Markov decision processes (POMDPs) with continuous spaces. Belief MDP reduction, which has been the standard approach to study POMDPs requires rigorous approximation methods for…

最优化与控制 · 数学 2025-01-20 Ali Devran Kara , Erhan Bayraktar , Serdar Yuksel

Consider a transmission scheme with a single transmitter and multiple receivers over a faulty broadcast channel. For each receiver, the transmitter has a unique infinite stream of packets, and its goal is to deliver them at the highest…

信息论 · 计算机科学 2015-10-27 Mark Shifrin , Asaf Cohen , Omer Gurewitz , Olga Weisman

A labelled Markov decision process (MDP) is a labelled Markov chain with nondeterminism; i.e., together with a strategy a labelled MDP induces a labelled Markov chain. The model is related to interval Markov chains. Motivated by…

形式语言与自动机理论 · 计算机科学 2024-07-01 Stefan Kiefer , Qiyi Tang

Planning under uncertainty is a central problem in the study of automated sequential decision making, and has been addressed by researchers in many different fields, including AI planning, decision analysis, operations research, control…

人工智能 · 计算机科学 2011-05-30 C. Boutilier , T. Dean , S. Hanks

Markov Decision Processes (MDPs) are stochastic optimization problems that model situations where a decision maker controls a system based on its state. Partially observed Markov decision processes (POMDPs) are generalizations of MDPs where…

最优化与控制 · 数学 2019-03-26 Victor Cohen , Axel Parmentier

We study infinite-horizon robust Markov decision processes (MDPs) on continuous state spaces with structured rectangular ambiguity set. The proposed ambiguity set falls within the convex hull of unknown generating kernels. We utilize the…

最优化与控制 · 数学 2026-05-28 Mengmeng Li , Yifan Hu , Daniel Kuhn , Yan Li

In this paper, we present a novel data-driven approach to quantify safety for non-linear, discrete-time stochastic systems with unknown noise distribution. We define safety as the probability that the system remains in a given region of the…

系统与控制 · 电气工程与系统科学 2024-10-10 Frederik Baymler Mathiesen , Licio Romao , Simeon C. Calvert , Luca Laurenti , Alessandro Abate

We study the offline data-driven sequential decision making problem in the framework of Markov decision process (MDP). In order to enhance the generalizability and adaptivity of the learned policy, we propose to evaluate each policy by a…

统计理论 · 数学 2021-11-11 Zhengling Qi , Peng Liao

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

Leveraging autonomous systems in safety-critical scenarios requires verifying their behaviors in the presence of uncertainties and black-box components that influence the system dynamics. In this work, we develop a framework for verifying…

系统与控制 · 电气工程与系统科学 2024-07-17 John Skovbekk , Luca Laurenti , Eric Frew , Morteza Lahijanian

Reinforcement learning in non-stationary environments is challenging due to abrupt and unpredictable changes in dynamics, often causing traditional algorithms to fail to converge. However, in many real-world cases, non-stationarity has some…

机器学习 · 计算机科学 2025-03-25 Mohsen Amiri , Sindri Magnússon

Thought to be responsible for memory, synaptic plasticity has been widely studied in the past few decades. One example of plasticity models is the popular Spike Timing Dependent Plasticity (STDP). The huge litterature of STDP models are…

概率论 · 数学 2018-03-02 Pascal Helson

We study Exo-MDPs, a structured class of Markov Decision Processes (MDPs) where the state space is partitioned into exogenous and endogenous components. Exogenous states evolve stochastically, independent of the agent's actions, while…

机器学习 · 统计学 2025-02-06 Jia Wan , Sean R. Sinclair , Devavrat Shah , Martin J. Wainwright

Markov decision process over vector addition system with states (VASS MDP) is a finite state model combining non-deterministic and probabilistic behavior, augmented with non-negative integer counters that can be incremented or decremented…

形式语言与自动机理论 · 计算机科学 2025-03-10 Michal Ajdarów