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The growing penetration of renewable energy sources (RESs) in active distribution networks (ADNs) leads to complex and uncertain operation scenarios, resulting in significant deviations and risks for the ADN operation. In this study, a…

Neural and Evolutionary Computing · Computer Science 2024-12-12 Ruizhe Yang , Zhongkai Yi , Ying Xu , Dazhi Yang , Zhenghong Tu

In this paper, the distributed resource allocation optimization problem is investigated. The allocation decisions are made to minimize the sum of all the agents' local objective functions while satisfying both the global network resource…

Optimization and Control · Mathematics 2017-04-11 Peng Yi , Yiguang Hong , Feng Liu

We propose a hybrid algorithmic strategy for complex stochastic optimization problems, which combines the use of scenario trees from multistage stochastic programming with machine learning techniques for learning a policy in the form of a…

Optimization and Control · Mathematics 2019-10-25 Boris Defourny , Damien Ernst , Louis Wehenkel

To address the power system hardening problem, traditional approaches often adopt robust optimization (RO) that considers a fixed set of concerned contingencies, regardless of the fact that hardening some components actually renders…

Systems and Control · Electrical Eng. & Systems 2025-03-07 Donglai Ma , Xiaoyu Cao , Bo Zeng , Qing-Shan Jia , Chen Chen , Qiaozhu Zhai , Xiaohong Guan

Two-stage stochastic programming is a popular framework for optimization under uncertainty, where decision variables are split between first-stage decisions, and second-stage (or recourse) decisions, with the latter being adjusted after…

Optimization and Control · Mathematics 2024-03-19 Antonio Alcántara , Carlos Ruiz , Calvin Tsay

This paper considers the dynamic economic dispatch problem for a group of distributed energy resources (DERs) with storage that communicate over a weight-balanced strongly connected digraph. The objective is to collectively meet a certain…

Optimization and Control · Mathematics 2016-05-04 Ashish Cherukuri , Jorge Cortes

We seek to extract a small number of representative scenarios from large panel data that are consistent with sample moments. Among two novel algorithms, the first identifies scenarios that have not been observed before, and comes with a…

Machine Learning · Statistics 2024-11-06 Michael Multerer , Paul Schneider , Rohan Sen

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…

Optimization and Control · Mathematics 2026-04-23 Xianyu Li , Huan Xu , Xiaolin Huang , Chao Shang

This paper investigates distributed control and incentive mechanisms to coordinate distributed energy resources (DERs) with both continuous and discrete decision variables as well as device dynamics in distribution grids. We formulate a…

Optimization and Control · Mathematics 2019-07-16 Xinyang Zhou , Emiliano Dall'Anese , Lijun Chen

Many optimization problems incorporate uncertainty affecting their parameters and thus their objective functions and constraints. As an example, in chance-constrained optimization the constraints need to be satisfied with a certain…

Systems and Control · Electrical Eng. & Systems 2020-01-09 Miguel Picallo , Florian Dörfler

Driven by ambitious renewable portfolio standards, large-scale inclusion of variable energy resources (such as wind and solar) are expected to introduce unprecedented levels of uncertainty into power system operations. The current practice…

Systems and Control · Electrical Eng. & Systems 2021-08-02 Semih Atakan , Harsha Gangammanavar , Suvrajeet Sen

The most common approaches for solving multistage stochastic programming problems in the research literature have been to either use value functions ("dynamic programming") or scenario trees ("stochastic programming") to approximate the…

Optimization and Control · Mathematics 2022-01-04 Warren B Powell , Saeed Ghadimi

We propose a computational framework to quantify (measure) and to optimize the reliability of complex systems. The approach uses a graph representation of the system that is subject to random failures of its components (nodes and edges).…

Optimization and Control · Mathematics 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

By employing local renewable energy sources and power generation units while connected to the central grid, microgrid can usher in great benefits in terms of cost efficiency, power reliability, and environmental awareness. Economic…

Systems and Control · Computer Science 2015-10-01 Ying Zhang , Mohammad H. Hajiesmaili , Sinan Cai , Minghua Chen , Qi Zhu

The maritime industry must prepare for the energy transition from fossil fuels to sustainable alternatives. Making ships future-proof is necessary given their long lifetime, but it is also complex because the future fuel type is uncertain.…

Optimization and Control · Mathematics 2024-07-01 Berend Markhorst , Joost Berkhout , Alessandro Zocca , Jeroen Pruyn , Rob van der Mei

Selecting cost-effective optimal sensor configurations for subsequent inference of parameters in black-box stochastic systems faces significant computational barriers. We propose a novel and robust approach, modelling the joint distribution…

Machine Learning · Statistics 2025-03-04 Paula Cordero-Encinar , Tobias Schröder , Peter Yatsyshin , Andrew Duncan

Stochastic forecasting is critical for efficient decision-making in uncertain systems, such as energy markets and finance, where estimating the full distribution of future scenarios is essential. We propose Diffusion Scenario Tree (DST), a…

Machine Learning · Computer Science 2026-02-16 Stelios Zarifis , Ioannis Kordonis , Petros Maragos

Neural-network quantum states (NQS) employ artificial neural networks to encode many-body wave functions in second quantization through variational Monte Carlo (VMC). They have recently been applied to accurately describe electronic wave…

Chemical Physics · Physics 2023-11-27 Xiang Li , Jia-Cheng Huang , Guang-Ze Zhang , Hao-En Li , Chang-su Cao , Dingshun Lv , Han-Shi Hu

Climate change has led to an increase in the frequency and severity of extreme weather events, posing significant challenges for power distribution systems. In response, this work presents a planning approach in order to enhance the…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Ahmad Bin Afzal , Nabil Mohammed , Shehab Ahmed , Charalambos Konstantinou

A stochastic representation of the dynamics of open quantum systems, suitable for non-perturbative system-reservoir interaction, non-Markovian effects and arbitrarily driven systems is presented. It includes the case of driving on…

Statistical Mechanics · Physics 2016-10-05 Jürgen T. Stockburger