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In this paper, a stochastic approximation (SA) based distributed algorithm is proposed to solve the resource allocation (RA) with uncertainties. In this problem, a group of agents cooperatively optimize a separable optimization problem with…

最优化与控制 · 数学 2016-11-01 Peng Yi , Jinlong Lei , Yiguang Hong

Existing compartmental models in epidemiology are limited in terms of optimizing the resource allocation to control an epidemic outbreak under disease growth uncertainty. In this study, we address this core limitation by presenting a…

应用统计 · 统计学 2021-02-24 Xuecheng Yin , I. Esra Buyuktahtakin

This research considers the ranking and selection with input uncertainty. The objective is to maximize the posterior probability of correctly selecting the best alternative under a fixed simulation budget, where each alternative is measured…

最优化与控制 · 数学 2023-05-15 Hui Xiao , Zhihong Wei

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

机器学习 · 计算机科学 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

To be fully useful for public health practice, models for epidemic response must be able to do more than predict -- it is also important to incorporate the mechanisms underlying transmission dynamics to enable policymakers and practitioners…

定量方法 · 定量生物学 2025-05-26 Jiale Tan , Marisa C. Eisenberg

This paper deals with solving distributed optimization problems with equality constraints by a class of uncertain nonlinear heterogeneous dynamic multi-agent systems. It is assumed that each agent with an uncertain dynamic model has limited…

系统与控制 · 电气工程与系统科学 2022-06-28 Mohammad Saeed Sarafraz , Mohammad Saleh Tavazoei

Bayesian optimization is a popular tool for data-efficient optimization of expensive objective functions. In real-life applications like engineering design, the designer often wants to take multiple objectives as well as input uncertainty…

人工智能 · 计算机科学 2022-02-28 J. Qing , I. Couckuyt , T. Dhaene

We consider the optimization of an uncertain objective over continuous and multi-dimensional decision spaces in problems in which we are only provided with observational data. We propose a novel algorithmic framework that is tractable,…

机器学习 · 统计学 2018-10-30 Dimitris Bertsimas , Christopher McCord

Reference information plays an essential role for making decisions under uncertainty, yet may vary across multiple data sources. In this paper, we study resource allocation in stochastic dynamic environments, where we perform information…

最优化与控制 · 数学 2024-11-05 Yanru Guo , Bo Zhou , Ruiwei Jiang , Xi , Yang , Siqian Shen

Geometric uncertainty can degrade treatment quality in radiation therapy. While margins and robust optimization mitigate these effects, they provide only implicit control over clinical goal fulfillment probability. We therefore develop a…

医学物理 · 物理学 2026-01-14 Albin Fredriksson , Erik Engwall , Jenneke de Jong , Johan Sundström

In a fixed budget ranking and Selection (R&S) problem, one aims to identify the best design among a finite number of candidates by efficiently allocating the given computing budget to evaluate design performance. Classical methods for R&S…

最优化与控制 · 数学 2024-07-11 Yuhao Wang , Enlu Zhou

We consider population modelling using parametrised ordinary differential equation initial value problems (ODE-IVPs). For each individual drawn randomly from the unknown population distribution, the corresponding parameters for the ODE-IVP…

统计理论 · 数学 2024-09-18 Han Cheng Lie

A large class of stochastic programs involve optimizing an expectation taken with respect to an underlying distribution that is unknown in practice. One popular approach to addressing the distributional uncertainty, known as the…

最优化与控制 · 数学 2017-08-30 Di Wu , Helin Zhu , Enlu Zhou

Motivated by broad applications in various fields of engineering, we study a network resource allocation problem where the goal is to optimally allocate a fixed quantity of resources over a network of nodes. We consider large scale networks…

最优化与控制 · 数学 2018-08-06 Thinh T. Doan , Carolyn L. Beck

Efficient signal representation is essential for the functioning of living and artificial systems operating under resource constraints. A widely recognized framework for deriving such representations is the information bottleneck method,…

分子网络 · 定量生物学 2025-07-08 Vahe Galstyan , Age Tjalma , Pieter Rein ten Wolde

We consider the problem of controlling the propagation of an epidemic outbreak in an arbitrary contact network by distributing vaccination resources throughout the network. We analyze a networked version of the…

社会与信息网络 · 计算机科学 2013-03-19 Victor M. Preciado , Michael Zargham , Chinwendu Enyioha , Ali Jadbabaie , George Pappas

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

机器学习 · 统计学 2025-12-22 Yuli Slavutsky , David M. Blei

We use an algebraic viewpoint, namely a matrix framework to deal with the problem of resource allocation under uncertainty in the context of a qualitative approach. Our basic qualitative data are a plausibility relation over the resources,…

人工智能 · 计算机科学 2018-05-18 Franklin Camacho , Gerardo Chacón , Ramón Pino Peréz

In Bayesian inference, an unknown measurement uncertainty is often quantified in terms of a Gamma distributed precision parameter, which is impractical when prior information on the standard deviation of the measurement uncertainty shall be…

统计方法学 · 统计学 2021-01-19 Manuel M. Eichenlaub

Predicting the evolution of diseases is challenging, especially when the data availability is scarce and incomplete. The most popular tools for modelling and predicting infectious disease epidemics are compartmental models. They stratify…

机器学习 · 计算机科学 2023-10-10 Esha Saha , Lam Si Tung Ho , Giang Tran