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One of the most ubiquitous problems in optimization is that of finding all the elements of a finite set at which a function $f$ attains its minimum (or maximum). When the codomain of $f$ is equipped with a total order, it is easy to…

Optimization and Control · Mathematics 2026-03-17 Patrik Jansson , Nicola Botta , Tim Richter

Forecasting has always been at the forefront of decision making and planning. The uncertainty that surrounds the future is both exciting and challenging, with individuals and organisations seeking to minimise risks and maximise utilities.…

Applications · Statistics 2022-02-09 Fotios Petropoulos , Daniele Apiletti , Vassilios Assimakopoulos , Mohamed Zied Babai , Devon K. Barrow , Souhaib Ben Taieb , Christoph Bergmeir , Ricardo J. Bessa , Jakub Bijak , John E. Boylan , Jethro Browell , Claudio Carnevale , Jennifer L. Castle , Pasquale Cirillo , Michael P. Clements , Clara Cordeiro , Fernando Luiz Cyrino Oliveira , Shari De Baets , Alexander Dokumentov , Joanne Ellison , Piotr Fiszeder , Philip Hans Franses , David T. Frazier , Michael Gilliland , M. Sinan Gönül , Paul Goodwin , Luigi Grossi , Yael Grushka-Cockayne , Mariangela Guidolin , Massimo Guidolin , Ulrich Gunter , Xiaojia Guo , Renato Guseo , Nigel Harvey , David F. Hendry , Ross Hollyman , Tim Januschowski , Jooyoung Jeon , Victor Richmond R. Jose , Yanfei Kang , Anne B. Koehler , Stephan Kolassa , Nikolaos Kourentzes , Sonia Leva , Feng Li , Konstantia Litsiou , Spyros Makridakis , Gael M. Martin , Andrew B. Martinez , Sheik Meeran , Theodore Modis , Konstantinos Nikolopoulos , Dilek Önkal , Alessia Paccagnini , Anastasios Panagiotelis , Ioannis Panapakidis , Jose M. Pavía , Manuela Pedio , Diego J. Pedregal , Pierre Pinson , Patrícia Ramos , David E. Rapach , J. James Reade , Bahman Rostami-Tabar , Michał Rubaszek , Georgios Sermpinis , Han Lin Shang , Evangelos Spiliotis , Aris A. Syntetos , Priyanga Dilini Talagala , Thiyanga S. Talagala , Len Tashman , Dimitrios Thomakos , Thordis Thorarinsdottir , Ezio Todini , Juan Ramón Trapero Arenas , Xiaoqian Wang , Robert L. Winkler , Alisa Yusupova , Florian Ziel

Models necessarily capture only parts of a reality. Prediction models aim at capturing a future reality. In this paper we address the question of how the future is constructed (or: imagined) in an investment context where market…

General Finance · Quantitative Finance 2019-12-24 Matthias J. Feiler , Thibaut Ajdler

Buildings represent a promising flexibility source to support the integration of renewable energy sources, as they may shift their heating energy consumption over time without impacting users' comfort. However, a building's predicted…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Julie Rousseau , Hanmin Cai , Philipp Heer , Kristina Orehounig , Gabriela Hug

In this paper, we develop a unified framework for studying constrained robust optimal control problems with adjustable uncertainty sets. In contrast to standard constrained robust optimal control problems with known uncertainty sets, we…

Optimization and Control · Mathematics 2016-06-09 Xiaojing Zhang , Maryam Kamgarpour , Angelos Georghiou , Paul Goulart , John Lygeros

Wind energy is becoming an increasingly crucial component of a sustainable grid, but its inherent variability and limited predictability present challenges for grid operators. The energy sector needs novel forecasting techniques that can…

Applications · Statistics 2023-12-05 Zheng Dong , Hanyu Zhang , Shixiang Zhu , Yao Xie , Pascal Van Hentenryck

We can overcome uncertainty with uncertainty. Using randomness in our choices and in what we control, and hence in the decision making process, could potentially offset the uncertainty inherent in the environment and yield better outcomes.…

General Finance · Quantitative Finance 2017-10-06 Ravi Kashyap

In this paper, an optimization problem with uncertain constraint coefficients is considered. Possibility theory is used to model the uncertainty. Namely, a joint possibility distribution in constraint coefficient realizations, called…

Optimization and Control · Mathematics 2023-09-07 Romain Guillaume , Adam Kasperski , Pawel Zielinski

This paper considers structural optimization under a reliability constraint, where the input distribution is only partially known. Specifically, when we only know that the expected value vector and the variance-covariance matrix of the…

Optimization and Control · Mathematics 2022-12-19 Yoshihiro Kanno

We study the optimal trading policies for a wind energy producer who aims to sell the future production in the open forward, spot, intraday and adjustment markets, and who has access to imperfect dynamically updated forecasts of the future…

Trading and Market Microstructure · Quantitative Finance 2016-10-17 Zongjun Tan , Peter Tankov

We develop a stochastic equilibrium model for an electricity market with asymmetric renewable energy forecasts. In our setting, market participants optimize their profits using public information about a conditional expectation of energy…

Optimization and Control · Mathematics 2020-05-26 Vladimir Dvorkin , Jalal Kazempour , Pierre Pinson

The planning and operation of renewable energy, especially wind power, depend crucially on accurate, timely, and high-resolution weather information. Coarse-grid global numerical weather forecasts are typically downscaled to meet these…

Wind power forecasting is essential for managing daily operations at wind farms and enabling market operators to manage power uncertainty effectively in demand planning. This paper explores advanced cross-temporal forecasting models and…

Methodology · Statistics 2024-12-17 Mahdi Abolghasemi , Daniele Girolimetto , Tommaso Di Fonzo

Within the last few years, the trend towards more distributed, renewable energy sources has led to major changes and challenges in the electricity sector. To ensure a stable electricity distribution in this changing environment, we propose…

Systems and Control · Electrical Eng. & Systems 2023-07-12 Jens Hönen , Johann L. Hurink , Bert Zwart

Probability forecasts of events are routinely used in climate predictions, in forecasting default probabilities on bank loans or in estimating the probability of a patient's positive response to treatment. Scoring rules have long been used…

Statistics Theory · Mathematics 2012-02-24 Tze Leung Lai , Shulamith T. Gross , David Bo Shen

Electricity price forecasting supports decision-making in energy markets and asset operation. Probabilistic forecasts are increasingly adopted to explicitly quantify uncertainty, typically issued as quantile predictions or ensembles of the…

Statistical Finance · Quantitative Finance 2026-04-22 Simon Hirsch , Florian Ziel

Efforts to ensure reliable operation of existing low-voltage distribution systems with high photovoltaic (PV) generation have focused on the possibility of inverters providing ancillary services such as active power curtailment and reactive…

Optimization and Control · Mathematics 2016-11-17 Emiliano Dall'Anese , Sairaj V. Dhople , Brian B. Johnson , Georgios B. Giannakis

The growing uncertainty from renewable power and electricity demand brings significant challenges to unit commitment (UC). While various advanced forecasting and optimization methods have been developed to predict better and address this…

Optimization and Control · Mathematics 2025-09-30 Rui Xie , Yue Chen , Pierre Pinson

Renewable electricity generation has grown significantly across many European power systems, leading to a greener energy mix, but also additional complexity in balancing electricity supply and demand. Unexpected differences between…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Arnaud Verstraeten , Maria Margarida Mascarenhas , Hussain Kazmi

During interactions with human consultants, people are used to providing partial and/or inaccurate information, and still be understood and assisted. We attempt to emulate this capability of human consultants; in computer consultation…

Artificial Intelligence · Computer Science 2013-03-26 Bhavani Raskutti , Ingrid Zukerman