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A cornerstone of the smart grid is the advanced monitorability on its assets and operations. Increasingly pervasive installation of the phasor measurement units (PMUs) allows the so-called synchrophasor measurements to be taken roughly 100…

Applications · Statistics 2017-08-17 Robert Qiu , Lei Chu , Xing He , Zenan Ling , Haichun Liu

Data-driven approaches, when tasked with situation awareness, are suitable for complex grids with massive datasets. It is a challenge, however, to efficiently turn these massive datasets into useful big data analytics. To address such a…

Methodology · Statistics 2018-01-18 Xing He , Lei Chu , Robert C. Qiu , Qian Ai , Zenan Ling

In this paper, High-dimensional data analysis methods are proposed to deal with random matrix which is composed by the real data from power network before and after the fault. The mean spectral radius (MSR) of non-Hermitian random matrices…

Applications · Statistics 2015-03-31 Y. Cao , L. Cai , C. Qiu , J. Gu , X. He , Q. Ai , Z. Jin

The operating status of power systems is influenced by growing varieties of factors, resulting from the developing sizes and complexity of power systems; in this situation, the modelbased methods need be revisited. A data-driven method, as…

Methodology · Statistics 2016-07-07 Xinyi Xu , Xing He , Qian Ai , Robert C. Qiu

Power systems are developing very fast nowadays, both in size and in complexity; this situation is a challenge for Early Event Detection (EED). This paper proposes a data- driven unsupervised learning method to handle this challenge.…

Methodology · Statistics 2015-09-16 Xing He , Robert Caiming Qiu , Qian Ai , Yinshuang Cao , Jie Gu , Zhijian Jin

It is important for detecting the anomaly in power systems before it expands and causes serious faults such as power failures or system blackout. With the deployments of phasor measurement units (PMUs), massive amounts of synchrophasor…

Signal Processing · Electrical Eng. & Systems 2019-07-25 Xin Shi , Robert Qiu

Invisible units mainly refer to small-scale units that are not monitored by, and thus are not visible to utilities. Integration of these invisible units into power systems does significantly affect the way in which a distribution grid is…

Applications · Statistics 2023-12-12 Xing He , Lei Chu , Robert C. Qiu , Qian Ai , Zenan Ling , Jian Zhang

Based on the random matrix model, we can build statistical models using massive datasets across the power grid, and employ hypothesis testing for anomaly detection. First, the aim of this paper is to make the first attempt to apply the…

Applications · Statistics 2016-12-06 Zenan Ling , Robert C. Qiu , Xing He , Chu Lei

Large-dimensional random matrix theory, RMT for short, which originates from the research field of quantum physics, has shown tremendous capability in providing deep insights into large dimensional systems. With the fact that we have…

Spectral Theory · Mathematics 2021-04-06 Jungang Ge , Ying-Chang Liang , Zhidong Bai , Guangming Pan

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

The Smart grid (SG), generally known as the next-generation power grid emerged as a replacement for ill-suited power systems in the 21st century. It is in-tegrated with advanced communication and computing capabilities, thus it is ex-pected…

Artificial Intelligence · Computer Science 2024-09-05 Navod Neranjan Thilakarathne , Mohan Krishna Kagita , Surekha Lanka , Hussain Ahmad

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

Multivariate statistical analysis is concerned with observations on several variables which are thought to possess some degree of inter-dependence. Driven by problems in genetics and the social sciences, it first flowered in the earlier…

Statistics Theory · Mathematics 2007-06-13 Iain M. Johnstone

Data analytics and data science play a significant role in nowadays society. In the context of Smart Grids (SG), the collection of vast amounts of data has seen the emergence of a plethora of data analysis approaches. In this paper, we…

Other Computer Science · Computer Science 2019-12-02 Bruno Rossi , Stanislav Chren

Synchronized measurements of a large power grid enable an unprecedented opportunity to study the spatialtemporal correlations. Statistical analytics for those massive datasets start with high-dimensional data matrices. Uncertainty is…

Applications · Statistics 2018-02-13 Zenan Ling , Robert C. Qiu , Xing He , Lei Chu

Data with features of volume, velocity, variety, and veracity are challenging traditional tools to extract useful analysis for decision-making. By integrating high-dimensional analysis with visualization, this paper develops a 3D power-map…

Methodology · Statistics 2015-03-03 Xing He , Qian Ai , Robert C. qiu , Jianmo Ni , Longjian Piao , Yiting Xu , Xinyi Xu

Future power grids are fundamentally different from current ones, both in size and in complexity; this trend imposes challenges for situation awareness (SA) based on classical indicators, which are usually model-based and deterministic. As…

Methodology · Statistics 2017-07-20 Xing He , Robert C. Qiu , Qian Ai , Lei Chu , Xinyi Xu , Zenan Ling

This thesis addresses two persistent and closely related challenges in modern deep learning, reliability and efficiency, through a unified framework grounded in Spectral Geometry and Random Matrix Theory (RMT). As deep networks and large…

Machine Learning · Computer Science 2026-02-27 Davide Ettori

Big Data are rapidly produced from various heterogeneous data sources. They are of different types (text, image, video or audio) and have different levels of reliability and completeness. One of the most interesting architectures that deal…

Artificial Intelligence · Computer Science 2021-08-11 Siham Yousfi , Maryem Rhanoui , Dalila Chiadmi

To enable massive machine type communication (mMTC), data aggregation is a promising approach to reduce the congestion caused by a massive number of machine type devices (MTDs). In this work, we consider a two-phase cellular-based mMTC…

Information Theory · Computer Science 2017-10-13 Jing Guo , Salman Durrani , Xiangyun Zhou , Halim Yanikomeroglu
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