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Stochastic nested optimization, including stochastic compositional, min-max and bilevel optimization, is gaining popularity in many machine learning applications. While the three problems share the nested structure, existing works often…

Machine Learning · Statistics 2021-06-28 Tianyi Chen , Yuejiao Sun , Wotao Yin

This work presents a distributed method for control centers to monitor the operating condition of a power network, i.e., to estimate the network state, and to ultimately determine the occurrence of threatening situations. State estimation…

Optimization and Control · Mathematics 2011-07-13 Fabio Pasqualetti , Ruggero Carli , Francesco Bullo

This paper presents a review of the literature on State Estimation (SE) in power systems. While covering some works related to SE in transmission systems, the main focus of this paper is Distribution System State Estimation (DSSE). The…

Systems and Control · Computer Science 2018-09-21 Kaveh Dehghanpour , Zhaoyu Wang , Jianhui Wang , Yuxuan Yuan , Fankun Bu

We propose a new approach to learning the subgrid-scale model when simulating partial differential equations (PDEs) solved by the method of lines and their representation in chaotic ordinary differential equations, based on neural ordinary…

Numerical Analysis · Mathematics 2023-04-14 Shinhoo Kang , Emil M. Constantinescu

Advection-Diffusion-Reaction (ADR) Partial Differential Equations (PDEs) appear in a wide spectrum of applications such as chemical reactors, concentration flows, and biological systems. A large number of these applications require the…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Ahmed Elkhashap , Dirk Abel

This paper summarizes an optimal state estimation that previously has been used in power systems and discusses the robustness of the by using a system-state controller. Static state estimation (SSE) traditionally tries to linearize power…

Systems and Control · Electrical Eng. & Systems 2020-06-08 Ramin Faraji

In power system steady-state estimation (PSSE), one needs to consider (1) the need for robust statistics, (2) the nonconvex transmission constraints, (3) the fast-varying nature of the inputs, and the corresponding need to track optimal…

Optimization and Control · Mathematics 2025-01-08 Pavel Rytir , Ales Wodecki , Martin Malachov , Pavel Baxant , Premysl Vorac , Miloslava Chladova , Jakub Marecek

Modeling distributions of covariates, or density estimation, is a core challenge in unsupervised learning. However, the majority of work only considers the joint distribution, which has limited utility in practical situations. A more…

Machine Learning · Computer Science 2021-10-28 Ryan R. Strauss , Junier B. Oliva

Time-synchronized state estimation is a challenge for distribution systems because of limited real-time observability. This paper addresses this challenge by formulating a deep learning (DL)-based approach to perform unbalanced three-phase…

Machine Learning · Computer Science 2021-02-11 Behrouz Azimian , Reetam Sen Biswas , Anamitra Pal , Lang Tong

Fast and robust dynamic state estimation (DSE) is essential for accurately capturing the internal dynamic processes of power systems, and it serves as the foundation for reliably implementing real-time dynamic modeling, monitoring, and…

Systems and Control · Electrical Eng. & Systems 2025-01-07 Jianhua Pei , Ping Wang , Jingyu Wang , Dongyuan Shi

In this paper, we propose an analytical framework to quantify the amount of data samples needed to obtain accurate state estimation in a power system - a problem known as sample complexity analysis in computer science. Motivated by the…

Optimization and Control · Mathematics 2019-09-20 Joshua Comden , Marcello Colombino , Andrey Bernstein , Zhenhua Liu

Partial differential equation-based numerical solution frameworks for initial and boundary value problems have attained a high degree of complexity. Applied to a wide range of physics with the ultimate goal of enabling engineering…

Numerical Analysis · Mathematics 2021-05-11 Matthew Duschenes , Krishna Garikipati

Decentralized state estimation in a communication-constrained sensor network is considered. The exchanged estimates are dimension-reduced to reduce the communication load using a linear mapping to a lower-dimensional space. The mean squared…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Robin Forsling , Fredrik Gustafsson , Zoran Sjanic , Gustaf Hendeby

In this paper, we propose an efficient ordered-statistics decoding (OSD) algorithm with an adaptive Gaussian elimination (GE) reduction technique. The proposed decoder utilizes two decoding conditions to adaptively remove GE in OSD. The…

Information Theory · Computer Science 2022-12-26 Chentao Yue , Mahyar Shirvanimoghaddam , Branka Vucetic , Yonghui Li

Fast power system state estimation (SE) solution is of paramount importance for achieving real-time decision making in power grid operations. Semidefinite programming (SDP) reformulation has been shown effective to obtain the global optimum…

Signal Processing · Electrical Eng. & Systems 2019-06-20 Yu Lan , Hao Zhu , Xiaohong Guan

Low-to-medium voltage distribution networks are experiencing rising levels of distributed energy resources, including renewable generation, along with improved sensing, communication, and automation infrastructure. As such, state estimation…

Systems and Control · Computer Science 2019-04-18 Thiagarajan Ramachandran , Andrew Reiman , Sai Pushpak Nandanoori , Mark Rice , Soumya Kundu

An adaptive approach to using reduced-order models as surrogates in PDE-constrained optimization is introduced that breaks the traditional offline-online framework of model order reduction. A sequence of optimization problems constrained by…

Optimization and Control · Mathematics 2014-07-30 Matthew J. Zahr , Charbel Farhat

An accurate and up-to-date topology is critical for situational awareness of a power grid; however, wrong switch statuses due to physical damage, communication error, or cyber-attack, can often result in topology errors. To maintain…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Shimiao Li , Amritanshu Pandey , Larry Pileggi

This paper studies reduced-order modeling of dynamic networks with strongly connected topology. Given a graph clustering of an original complex network, we construct a quotient graph with less number of vertices, where the edge weights are…

Optimization and Control · Mathematics 2020-03-10 Xiaodong Cheng , Lanlin Yu , Dingchao Ren , Jacquelien M. A. Scherpen

Offline black-box optimization aims to discover novel designs with high property scores using only a static dataset, a task fundamentally challenged by the out-of-distribution (OOD) extrapolation problem. Existing approaches typically…

Machine Learning · Computer Science 2026-05-22 Yonghan Yang , Ye Yuan , Zipeng Sun , Linfeng Du , Bowei He , Haolun Wu , Can Chen , Xue Liu