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Markov decision processes (MDPs) are formal models commonly used in sequential decision-making. MDPs capture the stochasticity that may arise, for instance, from imprecise actuators via probabilities in the transition function. However, in…

人工智能 · 计算机科学 2023-06-21 Marnix Suilen , Thiago D. Simão , David Parker , Nils Jansen

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

Metabolic disorders, particularly type 2 diabetes mellitus (T2DM), represent a significant global health burden, disproportionately impacting genetically predisposed populations such as the Pima Indians (a Native American tribe from south…

机器学习 · 计算机科学 2025-09-24 Iram Wajahat , Amritpal Singh , Fazel Keshtkar , Syed Ahmad Chan Bukhari

Early diagnosis is important for type 2 diabetes (T2D) to improve patient prognosis, prevent complications and reduce long-term treatment costs. We present a novel risk profiling approach based exclusively on health expenditure data that is…

机器学习 · 统计学 2015-04-29 Marc Claesen , Frank De Smet , Pieter Gillard , Chantal Mathieu , Bart De Moor

We consider the optimal sample complexity theory of tabular reinforcement learning (RL) for maximizing the infinite horizon discounted reward in a Markov decision process (MDP). Optimal worst-case complexity results have been developed for…

机器学习 · 计算机科学 2023-10-03 Shengbo Wang , Jose Blanchet , Peter Glynn

The global diabetes epidemic highlights the importance of maintaining good glycemic control. Glucose prediction is a fundamental aspect of diabetes management, facilitating real-time decision-making. Recent research has introduced models…

人工智能 · 计算机科学 2024-04-19 Ming Cheng , Xingjian Diao , Ziyi Zhou , Yanjun Cui , Wenjun Liu , Shitong Cheng

Markov decision processes (MDPs) are the defacto frame-work for sequential decision making in the presence ofstochastic uncertainty. A classical optimization criterion forMDPs is to maximize the expected discounted-sum pay-off, which…

人工智能 · 计算机科学 2020-02-28 Tomas Brazdil , Krishnendu Chatterjee , Petr Novotny , Jiri Vahala

We consider a new form of reinforcement learning (RL) that is based on opportunities to directly learn the optimal control policy and a general Markov decision process (MDP) framework devised to support these opportunities. Derivations of…

机器学习 · 计算机科学 2021-04-02 Yingdong Lu , Mark S. Squillante , Chai Wah Wu

The planning domain has experienced increased interest in the formal synthesis of decision-making policies. This formal synthesis typically entails finding a policy which satisfies formal specifications in the form of some well-defined…

人工智能 · 计算机科学 2021-11-30 George K. Atia , Andre Beckus , Ismail Alkhouri , Alvaro Velasquez

Rate processes are often modeled using Markov-State Models (MSM). Suppose you know a prior MSM, and then learn that your prediction of some particular observable rate is wrong. What is the best way to correct the whole MSM? For example,…

统计力学 · 物理学 2017-11-09 Purushottam D. Dixit , Ken A. Dill

Diabetes is a chronic metabolic disorder characterized by elevated blood glucose levels due to impaired insulin production or function. Two main forms are recognized: type 1 diabetes (T1D), which involves autoimmune destruction of…

基因组学 · 定量生物学 2026-02-11 Maria De La Luz Lomboy Toledo , Daniel Onah

In this paper, we consider a discrete-time Markov Decision Process (MDP) on a finite state-action space with a long-run risk-sensitive criterion used as the objective function. We discuss the concept of Blackwell optimality and comment on…

最优化与控制 · 数学 2026-01-21 Marcin Pitera , Łukasz Stettner

This paper proposes a reinforcement learning method for controller synthesis of autonomous systems in unknown and partially-observable environments with subjective time-dependent safety constraints. Mathematically, we model the system…

机器人学 · 计算机科学 2021-04-06 Yu Wang , Alper Kamil Bozkurt , Miroslav Pajic

A dynamic treatment regime is a sequence of decision rules in which each decision rule recommends treatment based on features of patient medical history such as past treatments and outcomes. Existing methods for estimating optimal dynamic…

统计方法学 · 统计学 2015-05-22 Kristin A. Linn , Eric B. Laber , Leonard A. Stefanski

The dead-in-bed syndrome describes the sudden and unexplained death of young individuals with Type 1 Diabetes (T1D) without prior long-term complications. One leading hypothesis attributes this phenomenon to nocturnal hypoglycemia (NH), a…

机器学习 · 计算机科学 2025-04-15 Marco Voegeli , Sonia Laguna , Heike Leutheuser , Marc Pfister , Marie-Anne Burckhardt , Julia E Vogt

We consider location-dependent opportunistic bandwidth sharing between static and mobile downlink users in a cellular network. Each cell has some fixed number of static users. Mobile users enter the cell, move inside the cell for some time…

网络与互联网体系结构 · 计算机科学 2020-07-22 Arpan Chattopadhyay , Bartłomiej Błaszczyszyn , Eitan Altman

A two-dimensional system of differential equations with delay modelling the glucose-insulin interaction processes in the human body is considered. Sufficient conditions are derived for the unique positive equilibrium in the system to be…

动力系统 · 数学 2020-12-11 M. Angelova , G. Beliakov , A. Ivanov , S. Shelyag

Large language models (LLMs) have shown promise in performing complex multi-step reasoning, yet they continue to struggle with mathematical reasoning, often making systematic errors. A promising solution is reinforcement learning (RL)…

机器学习 · 计算机科学 2025-09-22 Hanning Zhang , Pengcheng Wang , Shizhe Diao , Yong Lin , Rui Pan , Hanze Dong , Dylan Zhang , Pavlo Molchanov , Tong Zhang

The standard RL world model is that of a Markov Decision Process (MDP). A basic premise of MDPs is that the rewards depend on the last state and action only. Yet, many real-world rewards are non-Markovian. For example, a reward for bringing…

人工智能 · 计算机科学 2019-12-06 Maor Gaon , Ronen I. Brafman

Cells can sense forces applied to them, but also the stiffness of their environment. These are two different phenomena, and here we investigate the mechanosensitivity of the IInd kind: how the cell can measure an elastic modulus at a single…

细胞行为 · 定量生物学 2016-01-26 Max Cockerill , Michelle K. Rigozzi , Eugene M. Terentjev
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