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Random networks with specified degree distributions have been proposed as realistic models of population structure, yet the problem of dynamically modeling SIR-type epidemics in random networks remains complex. I resolve this dilemma by…

种群与进化 · 定量生物学 2007-05-23 Erik Volz

We propose a novel generalization of constrained Markov decision processes (CMDPs) that we call the \emph{semi-infinitely constrained Markov decision process} (SICMDP). Particularly, we consider a continuum of constraints instead of a…

机器学习 · 计算机科学 2023-05-02 Liangyu Zhang , Yang Peng , Wenhao Yang , Zhihua Zhang

We study a dynamic infection spread model, inspired by the discrete time SIR model, where infections are spread via non-isolated infected individuals. While infection keeps spreading over time, a limited capacity testing is performed at…

统计方法学 · 统计学 2022-01-25 Batuhan Arasli , Sennur Ulukus

Markov decision processes (MDPs) are known to be sensitive to parameter specification. Distributionally robust MDPs alleviate this issue by allowing for \emph{ambiguity sets} which give a set of possible distributions over parameter sets.…

最优化与控制 · 数学 2021-05-05 Julien Grand-Clément , Christian Kroer

Recently, Masked Diffusion Models (MDMs) have shown promising potential across vision, language, and cross-modal generation. However, a notable discrepancy exists between their training and inference procedures. In particular, MDM inference…

机器学习 · 计算机科学 2025-12-30 Renping Zhou , Zanlin Ni , Tianyi Chen , Zeyu Liu , Yang Yue , Yulin Wang , Yuxuan Wang , Jingshu Liu , Gao Huang

Understanding infectious disease spread remains a critical public health challenge, particularly given the interplay between household dynamics and community transmission patterns. Traditional epidemiological models often oversimplify these…

种群与进化 · 定量生物学 2026-01-21 Houda Yaqine , Christiane Fuchs

In this work, we study discrete-time Markov decision processes (MDPs) under constraints with Borel state and action spaces and where all the performance functions have the same form of the expected total reward (ETR) criterion over the…

概率论 · 数学 2019-05-10 F. Dufour , Alexandre Genadot

Although modeling studies are focused on the control of SIR-based systems describing epidemic data sets (particularly the COVID-19), few of them present a formal dynamic characterization in terms of equilibrium sets and stability. Such…

最优化与控制 · 数学 2021-06-03 A. H. González , A. L. Anderson , A. Ferramosca , E. A. Hernandez-Vargas

In this paper, we propose a new real-time differential virus transmission model, which can give more accurate and robust short-term predictions of COVID-19 transmitted infectious disease with benefits of near-term trend projection.…

种群与进化 · 定量生物学 2020-05-05 Sheldon X. D. Tan , Liang Chen

Risk-sensitive planning aims to identify policies maximizing some tail-focused metrics in Markov Decision Processes (MDPs). Such an optimization task can be very costly for the most widely used and interpretable metrics such as threshold…

机器学习 · 统计学 2025-07-09 Alexandre Marthe , Samuel Bounan , Aurélien Garivier , Claire Vernade

Robust Markov Decision Processes (RMDPs) provide a framework for sequential decision-making that is robust to perturbations on the transition kernel. However, current RMDP methods are often limited to small-scale problems, hindering their…

机器学习 · 计算机科学 2024-02-13 Kaixin Wang , Uri Gadot , Navdeep Kumar , Kfir Levy , Shie Mannor

In this work, we study dynamic programming (DP) algorithms for partially observable Markov decision processes with jointly continuous and discrete state-spaces. We consider a class of stochastic systems which have coupled discrete and…

最优化与控制 · 数学 2019-03-07 Donghwan Lee , Niao He , Jianghai Hu

This paper considers a risk-constrained infinite-horizon optimal control problem and proposes to solve it in an iterative manner. Each iteration of the algorithm generates a trajectory from the starting point to the target equilibrium state…

最优化与控制 · 数学 2021-11-29 Alireza Zolanvari , Ashish Cherukuri

Distributed model predictive control methods for uncertain systems often suffer from considerable conservatism and can tolerate only small uncertainties due to the use of robust formulations that are amenable to distributed design and…

系统与控制 · 电气工程与系统科学 2022-03-03 Simon Muntwiler , Kim P. Wabersich , Lukas Hewing , Melanie N. Zeilinger

We introduce a novel class of algorithms to efficiently approximate the unknown return distributions in policy evaluation problems from distributional reinforcement learning (DRL). The proposed distributional dynamic programming algorithms…

机器学习 · 统计学 2024-07-22 Julian Gerstenberg , Ralph Neininger , Denis Spiegel

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

Moment-based distributionally robust optimization (DRO) provides an optimization framework to integrate statistical information with traditional optimization approaches. Under this framework, one assumes that the underlying joint…

最优化与控制 · 数学 2023-11-01 Shiyi Jiang , Jianqiang Cheng , Kai Pan , Zuo-Jun Max Shen

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

We study risk-sensitive reinforcement learning in finite discounted MDPs with recursive entropic risk measures (ERM), where the risk parameter $\beta \neq 0$ controls the agent's risk attitude: $\beta>0$ for risk-averse and $\beta<0$ for…

机器学习 · 计算机科学 2026-05-20 Oliver Mortensen , Mohammad Sadegh Talebi

In this work, a novel digital channelizer design is developed through the use of a compact, system-level modeling approach. The model efficiently captures key properties of a digital channelizer system and its time-varying operation. The…

信号处理 · 电气工程与系统科学 2017-12-25 A. Sapio , L. Li , J. Wu , M. Wolf , S. S. Bhattacharyya
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