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We study linear policy approximations for the risk-conscious operation of an industrial energy system with uncertain wind power, significant and variable electricity demand, and high thermal output, as found in a modern foundry. The system…

最优化与控制 · 数学 2025-11-24 Johannes Nicklaus , Lea Brass , Gunnar Schubert

Multi-stage stochastic programming is a well-established framework for sequential decision making under uncertainty by seeking policies that are fully adapted to the uncertainty. Often such flexible policies are not desirable, and the…

最优化与控制 · 数学 2024-08-06 Beste Basciftci , Shabbir Ahmed , Nagi Gebraeel

Dyna-style model-based reinforcement learning contains two phases: model rollouts to generate sample for policy learning and real environment exploration using current policy for dynamics model learning. However, due to the complex…

机器学习 · 计算机科学 2024-01-02 Xiyao Wang , Ruijie Zheng , Yanchao Sun , Ruonan Jia , Wichayaporn Wongkamjan , Huazhe Xu , Furong Huang

We present a data-driven approach for producing policies that are provably robust across unknown stochastic environments. Existing approaches can learn models of a single environment as an interval Markov decision processes (IMDP) and…

机器学习 · 计算机科学 2025-03-25 Yannik Schnitzer , Alessandro Abate , David Parker

Computational fluid dynamics using the Reynolds-averaged Navier-Stokes (RANS) remains the most cost-effective approach to study wake flows and power losses in wind farms. The underlying assumptions associated with turbulence closures are…

流体动力学 · 物理学 2022-08-03 Ali Eidi , Navid Zehtabiyan-Rezaie , Reza Ghiassi , Xiang Yang , Mahdi Abkar

Most machine learning techniques are based upon statistical learning theory, often simplified for the sake of computing speed. This paper is focused on the uncertainty aspect of mathematical modeling in machine learning. Regression analysis…

机器学习 · 计算机科学 2022-06-07 Valentin Arkov

When sample data are governed by an unknown sequence of independent but possibly non-identical distributions, the data-generating process (DGP) in general cannot be perfectly identified from the data. For making decisions facing such…

理论经济学 · 经济学 2022-05-11 Xiaoyu Cheng

In modern networking research, infrastructure-assisted unmanned autonomous vehicles (UAVs) are actively considered for real-time learning-based surveillance and aerial data-delivery under unexpected 3D free mobility and coordination. In…

分布式、并行与集群计算 · 计算机科学 2023-02-15 Soohyun Park , Chanyoung Park , Soyi Jung , Jae-Hyun Kim , Joongheon Kim

Robust Markov Decision Processes (MDPs) address environmental shift through distributionally robust optimization (DRO) by finding an optimal worst-case policy within an uncertainty set of transition kernels. However, standard DRO approaches…

机器学习 · 统计学 2026-03-10 Akram S. Awad , Shihab Ahmed , Yue Wang , George K. Atia

In practical optimization problems, we typically model uncertainty as a random variable though its true probability distribution is unobservable to the decision maker. Historical data provides some information of this distribution that we…

最优化与控制 · 数学 2025-01-28 Arjun Ramachandra , Napat Rujeerapaiboon , Melvyn Sim

Accurate uncertainty estimates can significantly improve the performance of iterative design of experiments, as in Sequential and Reinforcement learning. For many such problems in engineering and the physical sciences, the design task…

机器学习 · 统计学 2022-05-20 Brendan Folie , Maxwell Hutchinson

Following the occurrence of an extreme natural or man-made event, community recovery management should aim at providing optimal restoration policies for a community over a planning horizon. Calculating such optimal restoration polices in…

系统与控制 · 计算机科学 2019-09-16 Saeed Nozhati , Yugandhar Sarkale , Edwin K. P. Chong , Bruce R. Ellingwood

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 optimization (RO) tackles data uncertainty by optimizing for the worst-case scenario of an uncertain parameter and, in its basic form, is sometimes criticized for producing overly-conservative solutions. To reduce the level of…

最优化与控制 · 数学 2022-02-21 Milad Dehghani Filabadi , Houra Mahmoudzadeh

We study a stochastic program where the probability distribution of the uncertain problem parameters is unknown and only indirectly observed via finitely many correlated samples generated by an unknown Markov chain with $d$ states. We…

最优化与控制 · 数学 2021-06-15 Mengmeng Li , Tobias Sutter , Daniel Kuhn

The ability to compute reward-optimal policies for given and known finite Markov decision processes (MDPs) underpins a variety of applications across planning, controller synthesis, and verification. However, we often want policies (1) to…

计算机科学中的逻辑 · 计算机科学 2025-11-18 Linus Heck , Filip Macák , Milan Češka , Sebastian Junges

Data-driven decision-making under uncertainty typically presumes the collection of historical data from an unknown target probability distribution. However, one may have no access to any data from the target distribution prior to…

最优化与控制 · 数学 2026-04-23 Xianyu Li , Huan Xu , Xiaolin Huang , Chao Shang

This paper presents a profound analysis of the robust job scheduling problem with uncertain release dates on unrelated machines. Our model involves minimizing the worst-case makespan and interval uncertainty where each release date belongs…

最优化与控制 · 数学 2021-07-22 Mirosław Ławrynowicz , Jerzy Józefczyk

For a timely decarbonization of our economy, power systems need to accommodate increasing numbers of clean but stochastic resources. This requires new operational methods that internalize this stochasticity to ensure safety and efficiency.…

最优化与控制 · 数学 2024-04-02 Robert Mieth , H. Vincent Poor

Robust optimization is a framework for modeling optimization problems involving data uncertainty and during the last decades has been an area of active research. If we focus on linear programming (LP) problems with i) uncertain data, ii)…

数值分析 · 计算机科学 2017-02-15 Roberto Mínguez , Víctor Casero-Alonso