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Principal component analysis (PCA) is a classical dimension reduction method which projects data onto the principal subspace spanned by the leading eigenvectors of the covariance matrix. However, it behaves poorly when the number of…

统计理论 · 数学 2013-05-27 Zongming Ma

Principal Component Analysis (PCA) is a ubiquitous tool with many applications in machine learning including feature construction, subspace embedding, and outlier detection. In this paper, we present an algorithm for computing the top…

机器学习 · 计算机科学 2013-10-25 Nikos Karampatziakis , Paul Mineiro

We perform a principal component analysis (PCA) of two one-dimensional lattice models belonging to distinct nonequilibrium universality classes - directed bond percolation and branching and annihilating random walks with even number of…

Consumers with low demand, like households, are generally supplied single-phase power by connecting their service mains to one of the phases of a distribution transformer. The distribution companies face the problem of keeping a record of…

机器学习 · 计算机科学 2016-06-08 P Satya Jayadev , Aravind Rajeswaran , Nirav P Bhatt , Ramkrishna Pasumarthy

Principal Component Analysis (PCA) is applied to the residuals of six widely used nuclear mass models to uncover systematic deviations and identify missing physical effects in theoretical nuclear mass predictions. By analyzing the principal…

核理论 · 物理学 2026-03-03 Y. Y. Huang , X. H. Wu

Traditionally, power system's inertia has been estimated according to the rotating masses directly connected to the grid. However, a new generation mix scenario is currently identified, where conventional supply-side is gradually replaced…

系统与控制 · 电气工程与系统科学 2020-11-04 Ana Fernández-Guillamón , Emilio Gómez-Lázaro , Angel Molina-García

Network models of large-scale electricity systems feature only a limited spatial resolution, either due to lack of data or in order to reduce the complexity of the problem with respect to numerical calculations. In such cases, both the…

物理与社会 · 物理学 2017-11-22 Mirko Schäfer , Simon Bugge Siggaard , Kun Zhu , Chris Risager Poulsen , Martin Greiner

Recently years, the attempts on distilling mobile data into useful knowledge has been led to the deployment of machine learning algorithms at the network edge. Principal component analysis (PCA) is a classic technique for extracting the…

信息论 · 计算机科学 2022-04-04 Zezhong Zhang , Guangxu Zhu , Rui Wang , Vincent K. N. Lau , Kaibin Huang

In a power distribution network, the network topology information is essential for an efficient operation of the network. This information of network connectivity is not accurately available, at the low voltage level, due to uninformed…

系统与控制 · 计算机科学 2016-09-12 Jayadev P Satya , Nirav Bhatt , Ramkrishna Pasumarthy , Aravind Rajeswaran

Principal component analysis (PCA) frequently suffers from the disturbance of outliers and thus a spectrum of robust extensions and variations of PCA have been developed. However, existing extensions of PCA treat all samples equally even…

机器学习 · 计算机科学 2021-03-23 Rui Zhang , Hongyuan Zhang , Xuelong Li

Traditional load analysis is facing challenges with the new electricity usage patterns due to demand response as well as increasing deployment of distributed generations, including photovoltaics (PV), electric vehicles (EV), and energy…

机器学习 · 计算机科学 2019-02-21 Yishen Wang , Xiao Lu , Yiran Xu , Di Shi , Zhehan Yi , Jiajun Duan , Zhiwei Wang

Principal Component Analysis (PCA) is a commonly used tool for dimension reduction and denoising. Therefore, it is also widely used on the data prior to training a neural network. However, this approach can complicate the explanation of…

机器学习 · 计算机科学 2025-09-30 Nhan Phan , Thu Nguyen , Uyen Dang , Pål Halvorsen , Michael A. Riegler

Principal Component Analysis (PCA) is applied to a variety of blazars to examine X-ray spectral variability. Data from nine different objects are analysed in two ways: long-term, which examines variability trends across years or decades,…

高能天体物理现象 · 物理学 2018-08-08 Dennis Gallant , Luigi C. Gallo , Michael L. Parker

Principal Component Analysis (PCA) is a fundamental data preprocessing tool in the world of machine learning. While PCA is often thought of as a dimensionality reduction method, the purpose of PCA is actually two-fold: dimension reduction…

机器学习 · 计算机科学 2023-01-25 Arpita Gang , Waheed U. Bajwa

Principal component analysis (PCA) is not only a fundamental dimension reduction method, but is also a widely used network anomaly detection technique. Traditionally, PCA is performed in a centralized manner, which has poor scalability for…

分布式、并行与集群计算 · 计算机科学 2015-12-22 Ni An , Steven Weber

Power flow analysis is used to evaluate the flow of electricity in the power system network. Power flow calculation is used to determine the steady-state variables of the system, such as the voltage magnitude/phase angle of each bus and the…

系统与控制 · 电气工程与系统科学 2022-05-24 Thuan Pham , Xingpeng Li

This paper examines several applications of principal component analysis (PCA) to physical systems. The first of these demonstrates that the principal components in a basis of appropriate system variables can be employed to identify…

数据分析、统计与概率 · 物理学 2021-02-24 David Yevick

The dielectric response of complex materials is characterized, in many cases, by a similar power law frequency dependence of both the real and the imaginary parts of their complex dielectric constants. In the admittance representation, this…

材料科学 · 物理学 2007-05-23 Baruch Vainas

Principal component analysis (PCA) is a longstanding and well-studied approach for dimension reduction. It rests upon the assumption that the underlying signal in the data has low rank, and thus can be well-summarized using a small number…

统计方法学 · 统计学 2025-08-14 Ronan Perry , Snigdha Panigrahi , Jacob Bien , Daniela Witten

The power flow equations relate bus voltage phasors to power injections via the network admittance matrix. These equations are central to the key operational and protection functions of power systems (e.g., optimal power flow scheduling and…

系统与控制 · 电气工程与系统科学 2025-10-21 Samuel Talkington , Daniel Turizo , Sergio A. Dorado-Rojas , Rahul K. Gupta , Daniel K. Molzahn