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Optimization is becoming increasingly common in scientific and engineering domains. Oftentimes, these problems involve various levels of stochasticity or uncertainty in generating proposed solutions. Therefore, optimization in these…

机器学习 · 统计学 2020-06-05 Peter D. Tonner , Daniel V. Samarov , A. Gilad Kusne

Influence diagrams are widely employed to represent multi-stage decision problems in which each decision is a choice from a discrete set of alternatives, uncertain chance events have discrete outcomes, and prior decisions may influence the…

最优化与控制 · 数学 2022-01-20 Ahti Salo , Juho Andelmin , Fabricio Oliveira

The pandemic caused by the SARS-CoV-2 virus has exposed many flaws in the decision-making strategies used to distribute resources to combat global health crises. In this paper, we leverage reinforcement learning and optimization to improve…

人工智能 · 计算机科学 2021-01-06 Lawrence Thul , Warren Powell

Graph Neural Networks have achieved impressive results across diverse network modeling tasks, but accurately estimating uncertainty on graphs remains difficult, especially under distributional shifts. Unlike traditional uncertainty…

机器学习 · 计算机科学 2025-10-15 Fred Xu , Thomas Markovich

In this paper, we address the important issue of uncertainty in the edge influence probability estimates for the well studied influence maximization problem --- the task of finding $k$ seed nodes in a social network to maximize the…

社会与信息网络 · 计算机科学 2016-06-14 Wei Chen , Tian Lin , Zihan Tan , Mingfei Zhao , Xuren Zhou

This work introduces a new method to efficiently solve optimization problems constrained by partial differential equations (PDEs) with uncertain coefficients. The method leverages two sources of inexactness that trade accuracy for speed:…

最优化与控制 · 数学 2019-05-20 Matthew J. Zahr , Kevin T. Carlberg , Drew P. Kouri

In this paper a class of optimization problems with uncertain linear constraints is discussed. It is assumed that the constraint coefficients are random vectors whose probability distributions are only partially known. Possibility theory is…

最优化与控制 · 数学 2021-11-30 Romain Guillaume , Adam Kasperski , Pawel Zielinski

We address the risk bounded trajectory optimization problem of stochastic nonlinear robotic systems. More precisely, we consider the motion planning problem in which the robot has stochastic nonlinear dynamics and uncertain initial…

机器人学 · 计算机科学 2022-03-08 Weiqiao Han , Ashkan Jasour , Brian Williams

We introduce a methodology for nonlinear inverse problems using a variational Bayesian approach where the unknown quantity is a spatial field. A structured Bayesian Gaussian process latent variable model is used both to construct a…

机器学习 · 统计学 2019-02-20 Steven Atkinson , Nicholas Zabaras

We consider a simulation-based Ranking and Selection (R&S) problem with input uncertainty, where unknown input distributions can be estimated using input data arriving in batches of varying sizes over time. Each time a batch arrives,…

最优化与控制 · 数学 2022-09-05 Di Wu , Yuhao Wang , Enlu Zhou

Well-established methods for the solution of stochastic partial differential equations (SPDEs) typically struggle in problems with high-dimensional inputs/outputs. Such difficulties are only amplified in large-scale applications where even…

机器学习 · 统计学 2019-09-10 Constantin Grigo , Phaedon-Stelios Koutsourelakis

Since early 2020, the world has been dealing with a raging pandemic outbreak: COVID-19. A year later, vaccines have become accessible, but in limited quantities, so that governments needed to devise a strategy to decide which part of the…

种群与进化 · 定量生物学 2022-04-13 Sander Tonkens , Paul de Klaver , Mauro Salazar

We study the problem of containing epidemic spreading processes in temporal networks. We specifically focus on the problem of finding a resource allocation to suppress epidemic infection, provided that an empirical time-series data of…

社会与信息网络 · 计算机科学 2019-04-16 Masaki Ogura , Junichi Harada

Epidemic risk assessment poses inherent challenges, with traditional approaches often failing to balance health outcomes and economic constraints. This paper presents a data-driven decision support tool that models epidemiological dynamics…

应用统计 · 统计学 2025-11-24 Chang Zhai , Ping Chen , Zhuo Jin , David Pitt

Dynamic and evolving operational and economic environments present significant challenges for decision-making. We explore a simulation optimization problem characterized by non-stationary input distributions with regime-switching dynamics…

最优化与控制 · 数学 2025-08-19 Jianglin Xia , Haowei Wang , Songhao Wang , Szu Hui Ng

Bayesian Optimization (BO) is a sample-efficient optimization algorithm widely employed across various applications. In some challenging BO tasks, input uncertainty arises due to the inevitable randomness in the optimization process, such…

机器学习 · 计算机科学 2023-11-07 Lin Yang , Junlong Lyu , Wenlong Lyu , Zhitang Chen

Policymakers often face the decision of how to allocate resources across many different policies using noisy estimates of policy impacts. This paper develops a framework for optimal policy choices under statistical uncertainty. I consider a…

计量经济学 · 经济学 2026-02-03 Sarah Moon

Recent years have seen increasing efforts to forecast infectious disease burdens, with a primary goal being to help public health workers make informed policy decisions. However, there has only been limited discussion of how predominant…

应用统计 · 统计学 2024-03-06 Aaron Gerding , Nicholas G. Reich , Benjamin Rogers , Evan L. Ray

The majority of research on efficient and scalable algorithms in computational science and engineering has focused on the forward problem: given parameter inputs, solve the governing equations to determine output quantities of interest. In…

最优化与控制 · 数学 2015-11-05 Tobin Isaac , Noemi Petra , Georg Stadler , Omar Ghattas

This paper is concerned with a lesser-studied problem in the context of model-based, uncertainty quantification (UQ), that of optimization/design/control under uncertainty. The solution of such problems is hindered not only by the usual…

统计计算 · 统计学 2016-02-17 Phaedon-Stelios Koutsourelakis