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In the dynamic hospital setting, decision support can be a valuable tool for improving patient outcomes. Data-driven inference of future outcomes is challenging in this dynamic setting, where long sequences such as laboratory tests and…

定量方法 · 定量生物学 2024-04-25 Alan D. Kaplan , Priyadip Ray , John D. Greene , Vincent X. Liu

Establishing causality is a fundamental goal in fields like medicine and social sciences. While randomized controlled trials are the gold standard for causal inference, they are not always feasible or ethical. Observational studies can…

统计理论 · 数学 2024-12-03 Andrew Ying

Fluid resuscitation, also called fluid therapy, is commonly used in treatment of critical care patients. Of the variables inherent to fluid therapy treatment, fluid infusion types are well-studied, but volumetric optimization is not.…

系统与控制 · 电气工程与系统科学 2023-12-12 Jacob Grant , Hossein Mirinejad

The inverse linear-quadratic optimal control problem is a system identification problem whose aim is to recover the quadratic cost function and hence the closed-loop system matrices based on observations of optimal trajectories. In this…

最优化与控制 · 数学 2022-09-22 Han Zhang , Axel Ringh

This paper presents a data-driven method to find a closed-loop optimal controller, which minimizes a specified infinite-horizon cost function for systems with unknown dynamics. Suppose the closed-loop optimal controller can be parameterized…

机器学习 · 计算机科学 2025-11-20 Wenjian Hao , Paulo C. Heredia , Shaoshuai Mou

An individualized decision rule (IDR) is a decision function that assigns each individual a given treatment based on his/her observed characteristics. Most of the existing works in the literature consider settings with binary or finitely…

统计方法学 · 统计学 2023-01-31 Hengrui Cai , Chengchun Shi , Rui Song , Wenbin Lu

Effective therapy of complex diseases requires control of highly non-linear complex networks that remain incompletely characterized. In particular, drug intervention can be seen as control of signaling in cellular networks. Identification…

Hierarchical random effect models are used for different purposes in clinical research and other areas. In general, the main focus is on population parameters related to the expected treatment effects or group differences among all units of…

应用统计 · 统计学 2021-04-07 Maryna Prus , Norbert Benda , Rainer Schwabe

It has been recently established that a deterministic infinite horizon discounted optimal control problem in discrete time is closely related to a certain infinite dimensional linear programming problem and its dual. In the present paper,…

最优化与控制 · 数学 2018-02-19 Vladimir Gaitsgory , Alex Parkinson , Ilya Shvartsman

Often in follow-up studies intermediate events occur in some patients, such as reinterventions or adverse events. These intermediate events directly affect the shapes of their longitudinal profiles. Our work is motivated by two studies in…

Observational longitudinal studies are a common means to study treatment efficacy and safety in chronic mental illness. In many such studies, treatment changes may be initiated by either the patient or by their clinician and can thus vary…

统计方法学 · 统计学 2020-06-12 Zekun Xu , Eric Laber , Ana-Maria Staicu , Emanuel Severus

We study control of constrained linear systems with only partial statistical information about the uncertainty affecting the system dynamics and the sensor measurements. Specifically, given a finite collection of disturbance realizations…

This article is a continuation of a previous work where we studied infinite horizon control problems for which the dynamic, running cost and control space may be different in two half-spaces of some euclidian space $\R^N$. In this article…

偏微分方程分析 · 数学 2014-01-27 Guy Barles , Ariela Briani , Emmanuel Chasseigne

We study a class of structured optimal control problems in which the main diagonal of the dynamic matrix is a linear function of the design variable. While such problems are in general challenging and nonconvex, for positive systems we…

最优化与控制 · 数学 2019-07-09 Neil K. Dhingra , Marcello Colombino , Mihailo R. Jovanović

We consider the problem of learning about and comparing the consequences of dynamic treatment strategies on the basis of observational data. We formulate this within a probabilistic decision-theoretic framework. Our approach is compared…

统计理论 · 数学 2010-11-16 A. Philip Dawid , Vanessa Didelez

We propose and create an incentive based recommendation algorithm aimed at improving the lifestyle of diabetic patients. This algorithm is integrated into a real world mobile application to provide personalized health recommendations.…

人机交互 · 计算机科学 2025-04-22 Wasim Abbas , Hafiz Syed Muhammad Bilal , Asim Abbas , Muhammad Afzal , Je-Hoon Lee

We analyze the infinite horizon minimax average cost Markov Control Model (MCM), for a class of controlled process conditional distributions, which belong to a ball, with respect to total variation distance metric, centered at a known…

最优化与控制 · 数学 2015-12-22 Ioannis Tzortzis , Charalambos D. Charalambous , Themistoklis Charalambous

This paper studies a finite horizon utility maximization problem on excessive consumption under a drawdown constraint. Our control problem is an extension of the one considered in Bahman et al. (2019) to the model with a finite horizon and…

最优化与控制 · 数学 2024-11-05 Xiaoshan Chen , Xun Li , Fahuai Yi , Xiang Yu

This paper considers a class of convex optimization problems where both, the objective function and the constraints, have a continuously varying dependence on time. Our goal is to develop an algorithm to track the optimal solution as it…

最优化与控制 · 数学 2015-10-07 Mahyar Fazlyab , Santiago Paternain , Victor M. Preciado , Alejandro Ribeiro

Dynamic treatment regimes have been proposed to personalize treatment decisions by utilizing historical patient data, but they may not always improve on the current standard of care. It is thus meaningful to integrate the standard of care…

应用统计 · 统计学 2025-12-11 Johannes Hruza , Arvid Sjölander , Erin Gabriel , Samir Bhatt , Michael Sachs