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We study a reinsurer who faces multiple sources of model uncertainty. The reinsurer offers contracts to $n$ insurers whose claims follow compound Poisson processes representing both idiosyncratic and systemic sources of loss. As the…

风险管理 · 定量金融 2024-10-03 Emma Kroell , Sebastian Jaimungal , Silvana M. Pesenti

Variational inequalities are modelling tools used to capture a variety of decision-making problems arising in mathematical optimization, operations research, game theory. The scenario approach is a set of techniques developed to tackle…

最优化与控制 · 数学 2020-03-17 Dario Paccagnan , Marco C. Campi

This paper discusses a class of combinatorial optimization problems with uncertain costs in the objective function. It is assumed that a sample of the cost realizations is available, which defines an empirical probability distribution for…

最优化与控制 · 数学 2023-12-21 Marcel Jackiewicz , Adam Kasperski , Pawel Zielinski

Optimization is offered as an objective approach to resolving complex, real-world decisions involving uncertainty and conflicting interests. It drives business strategies as well as public policies and, increasingly, lies at the heart of…

人工智能 · 计算机科学 2023-08-01 Benjamin Laufer , Thomas Krendl Gilbert , Helen Nissenbaum

Bayesian quadrature optimization (BQO) maximizes the expectation of an expensive black-box integrand taken over a known probability distribution. In this work, we study BQO under distributional uncertainty in which the underlying…

机器学习 · 计算机科学 2020-01-22 Thanh Tang Nguyen , Sunil Gupta , Huong Ha , Santu Rana , Svetha Venkatesh

We present a method to include robustness into a multi-criteria optimization (MCO) framework for intensity-modulated proton therapy (IMPT). The approach allows one to simultaneously explore the trade-off between different objectives as well…

医学物理 · 物理学 2015-06-03 Wei Chen , Jan Unkelbach , Alexei Trofimov , Thomas Madden , Hanne Kooy , Thomas Bortfeld , David Craft

We propose a new Robust Optimization method for the energy offering problem of a price-taker generating company that wants to build offering curves for its generation units, in order to maximize its profit while taking into account the…

最优化与控制 · 数学 2016-02-15 Fabio D'Andreagiovanni , Giovanni Felici , Fabrizio Lacalandra

Vaccinations against viruses have always been the need of the hour since long past. However, it is hard to efficiently distribute the vaccines (on time) to all the corners of a country, especially during a pandemic. Considering the vastness…

机器学习 · 计算机科学 2022-08-03 Jayeeta Mondal , Jeet Dutta , Hrishav Bakul Barua

With the rise of emerging risks, model uncertainty poses a fundamental challenge in the insurance industry, making robust pricing a first-order question. This paper investigates how insurers' robustness preferences shape competitive…

风险管理 · 定量金融 2025-10-20 Shunzhi Pang

Electronic health records (EHR) consist of longitudinal clinical observations portrayed with sparsity, irregularity, and high-dimensionality, which become major obstacles in drawing reliable downstream clinical outcomes. Although there…

机器学习 · 计算机科学 2020-11-17 Ahmad Wisnu Mulyadi , Eunji Jun , Heung-Il Suk

This paper addresses a central challenge of jointly considering shorter-term (e.g. hourly) and longer-term (e.g. yearly) uncertainties in power system planning with increasing penetration of renewable and storage resources. In conventional…

系统与控制 · 电气工程与系统科学 2021-09-13 Chao Yan , Xinbo Geng , Zhaohong Bie , Le Xie

Quality-Diversity optimisation (QD) has proven to yield promising results across a broad set of applications. However, QD approaches struggle in the presence of uncertainty in the environment, as it impacts their ability to quantify the…

神经与进化计算 · 计算机科学 2023-03-28 Manon Flageat , Antoine Cully

Increasing the adoption of alternative technologies is vital to ensure a successful transition to net-zero emissions in the manufacturing sector. Yet there is no model to analyse technology adoption and the impact of policy interventions in…

综合经济学 · 经济学 2023-04-21 Tom Savage , Antonio del Rio Chanona , Gbemi Oluleye

In this work, we consider the problem of estimating the probability distribution, the quantile or the conditional expectation above the quantile, the so called conditional-value-at-risk, of output quantities of complex random differential…

统计计算 · 统计学 2023-05-23 Quentin Ayoul-Guilmard , Sundar Ganesh , Sebastian Krumscheid , Fabio Nobile

We consider the problem of optimizing locations of distribution centers (DCs) and plans for distributing resources such as test kits and vaccines, under spatiotemporal uncertainties of disease spread and demand for the resources. We aim to…

最优化与控制 · 数学 2022-07-19 Beste Basciftci , Xian Yu , Siqian Shen

Incorporating vaccination into mathematical models appears deceptively simple: models integrate vaccine-derived protections, such as reduced susceptibility to infection, using parameters informed by empirical estimates of vaccine efficacy…

种群与进化 · 定量生物学 2026-05-19 Casey E. Middleton , Oliver Eales , James M. McCaw , Freya M. Shearer

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

最优化与控制 · 数学 2013-07-30 Michal Kocvara

Toward a multi-objective optimization robust problem, the variations in design variables and design environment pa-rameters include the small variations and the large varia-tions. The former have small effect on the performance func-tions…

最优化与控制 · 数学 2014-12-04 Weijun Wang , Stéphane Caro , Fouad Bennis , Ricardo Soto , Broderick Crawford

Multi-echelon inventory optimization (MEIO) plays a key role in a supply chain seeking to achieve specified customer service levels with a minimum capital in inventory. In this work, we propose a generalized MEIO model based on the…

In this work, we study a single-machine scheduling problem that aims at minimizing the total cost of a schedule subject to start-time dependent costs. This framework naturally captures scenarios where costs fluctuate throughout the day,…