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Random Matrix Theory (RMT) is a powerful statistical tool to model spectral fluctuations. This approach has also found fruitful application in Quantum Chromodynamics (QCD). Importantly, RMT provides very efficient means to separate…

High Energy Physics - Lattice · Physics 2016-08-25 T. Guhr , J. -Z. Ma , S. Meyer , T. Wilke

Topology identification (TI) is a key task for state estimation (SE) in distribution grids, especially the one with high-penetration renewables. The uncertainties, initiated by the time-series behavior of renewables, will almost certainly…

Applications · Statistics 2023-12-12 Xing He , Robert Qiu , Qian Ai , Tianyi Zhu

Over the last few decades, extensive use of information and communication technologies has been the main driver of the digitalization of power systems. Proper and secure monitoring of the critical grid infrastructure became an integral part…

Machine Learning · Computer Science 2022-09-27 Yuval Abraham Regev , Henrik Vassdal , Ugur Halden , Ferhat Ozgur Catak , Umit Cali

Linear mixed models (LMMs) are a popular class of methods for analyzing longitudinal and clustered data. However, such models can be sensitive to outliers, and this can lead to biased inference on model parameters and inaccurate prediction…

Methodology · Statistics 2025-03-28 Shonosuke Sugasawa , Francis K. C. Hui , Alan H. Welsh

This paper presents a novel mutual information (MI) matrix based method for fault detection. Given a $m$-dimensional fault process, the MI matrix is a $m \times m$ matrix in which the $(i,j)$-th entry measures the MI values between the…

Signal Processing · Electrical Eng. & Systems 2021-02-19 Feiya Lv , Shujian Yu , Chenglin Wen , Jose C. Principe

With the increasing penetration of behind-the-meter (BTM) resources, it is vital to monitor the components of these resources and deduce their response behavior to external environment. Owing to data privacy, however, the appliance-wise…

Systems and Control · Electrical Eng. & Systems 2025-10-27 Chengming Lyu , Zhenfei Tan , Xiaoyuan Xu , Chen Fu , Zheng Yan , Mohammad Shahidehpour

Accurately modeling power distribution grids is crucial for designing effective monitoring and decision making algorithms. This paper addresses the partial observability issue of data-driven distribution modeling in order to improve the…

Signal Processing · Electrical Eng. & Systems 2021-10-08 Shanny Lin , Hao Zhu

Network structures underlie the dynamics of many complex phenomena, from gene regulation and foodwebs to power grids and social media. Yet, as they often cannot be observed directly, their connectivities must be inferred from observations…

Machine Learning · Computer Science 2023-11-02 Thomas Gaskin , Grigorios A. Pavliotis , Mark Girolami

Random matrix theory (RMT) provides a successful model for quantum systems, whose classical counterpart has a chaotic dynamics. It is based on two assumptions: (1) matrix-element independence, and (2) base invariance. Last decade witnessed…

Chaotic Dynamics · Physics 2011-09-27 A. Y. Abul-Magd

This review article provides an overview of random matrix theory (RMT) with a focus on its growing impact on the formulation and inference of statistical models and methodologies. Emphasizing applications within high-dimensional statistics,…

Methodology · Statistics 2024-12-11 Swapnaneel Bhattacharyya , Srijan Chattopadhyay , Sevantee Basu

Data attacks on meter measurements in the power grid can lead to errors in state estimation. This paper presents a new data attack model where an adversary produces changes in state estimation despite failing bad-data detection checks. The…

Cryptography and Security · Computer Science 2015-05-11 Deepjyoti Deka , Ross Baldick , Sriram Vishwanath

Optimal operation of distribution grid resources relies on accurate estimation of its state and topology. Practical estimation of such quantities is complicated by the limited presence of real-time meters. This paper discusses a theoretical…

Systems and Control · Computer Science 2020-01-06 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

This paper considers the low-observability state estimation problem in power distribution networks and develops a decentralized state estimation algorithm leveraging the matrix completion methodology. Matrix completion has been shown to be…

Optimization and Control · Mathematics 2019-10-14 April Sagan , Yajing Liu , Andrey Bernstein

A wide variety of application domains are concerned with data consisting of entities and their relationships or connections, formally represented as graphs. Within these diverse application areas, a common problem of interest is the…

Social and Information Networks · Computer Science 2016-09-06 Benjamin A. Miller , Michelle S. Beard , Patrick J. Wolfe , Nadya T. Bliss

Identification of charged particles in a multilayer detector by the energy loss technique may also be achieved by the use of a neural network. The performance of the network becomes worse when a large fraction of information is missing, for…

Methodology · Statistics 2020-04-14 S. Riggi , D. Riggi , F. Riggi

This paper develops the inferential theory for latent factor models estimated from large dimensional panel data with missing observations. We propose an easy-to-use all-purpose estimator for a latent factor model by applying principal…

Econometrics · Economics 2022-01-11 Ruoxuan Xiong , Markus Pelger

Artificial intelligence-based techniques applied to the electricity consumption data generated from the smart grid prove to be an effective solution in reducing Non Technical Loses (NTLs), thereby ensures safety, reliability, and security…

Machine Learning · Computer Science 2021-10-12 Yogesh Kulkarni , Sayf Hussain Z , Krithi Ramamritham , Nivethitha Somu

In machine learning, a bias occurs whenever training sets are not representative for the test data, which results in unreliable models. The most common biases in data are arguably class imbalance and covariate shift. In this work, we aim to…

Machine Learning · Computer Science 2018-04-04 Patrick Glauner , Radu State , Petko Valtchev , Diogo Duarte

Building an accurate load forecasting model with minimal underpredictions is vital to prevent any undesired power outages due to underproduction of electricity. However, the power consumption patterns of the residential sector contain…

Machine Learning · Computer Science 2023-02-23 Jihan Ghanim , Maha Issa , Mariette Awad

The changes in the electric energy system toward a sustainable future are inevitable and already on the way today. This often entails a change of paradigm for the electric energy grid, for example, the switch from central to decentralized…

Systems and Control · Electrical Eng. & Systems 2023-10-10 David Fellner , Thomas I. Strasser , Wolfgang Kastner , Feizifar Behnam , Ibrahim F. Abdulhadi