Principal Component Analysis

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Release : 2013-03-09
Genre : Mathematics
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Book Rating : 043/5 ( reviews)

Principal Component Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Principal Component Analysis write by I.T. Jolliffe. This book was released on 2013-03-09. Principal Component Analysis available in PDF, EPUB and Kindle. Principal component analysis is probably the oldest and best known of the It was first introduced by Pearson (1901), techniques ofmultivariate analysis. and developed independently by Hotelling (1933). Like many multivariate methods, it was not widely used until the advent of electronic computers, but it is now weIl entrenched in virtually every statistical computer package. The central idea of principal component analysis is to reduce the dimen sionality of a data set in which there are a large number of interrelated variables, while retaining as much as possible of the variation present in the data set. This reduction is achieved by transforming to a new set of variables, the principal components, which are uncorrelated, and which are ordered so that the first few retain most of the variation present in all of the original variables. Computation of the principal components reduces to the solution of an eigenvalue-eigenvector problem for a positive-semidefinite symmetrie matrix. Thus, the definition and computation of principal components are straightforward but, as will be seen, this apparently simple technique has a wide variety of different applications, as weIl as a number of different deri vations. Any feelings that principal component analysis is a narrow subject should soon be dispelled by the present book; indeed some quite broad topics which are related to principal component analysis receive no more than a brief mention in the final two chapters.

Principal Components Analysis

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Release : 1989-05
Genre : Mathematics
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Book Rating : 046/5 ( reviews)

Principal Components Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Principal Components Analysis write by George H. Dunteman. This book was released on 1989-05. Principal Components Analysis available in PDF, EPUB and Kindle. For anyone in need of a concise, introductory guide to principal components analysis, this book is a must. Through an effective use of simple mathematical-geometrical and multiple real-life examples (such as crime statistics, indicators of drug abuse, and educational expenditures) -- and by minimizing the use of matrix algebra -- the reader can quickly master and put this technique to immediate use.

A User's Guide to Principal Components

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Release : 2005-01-21
Genre : Mathematics
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Book Rating : 323/5 ( reviews)

A User's Guide to Principal Components - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A User's Guide to Principal Components write by J. Edward Jackson. This book was released on 2005-01-21. A User's Guide to Principal Components available in PDF, EPUB and Kindle. WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of A User’s Guide to Principal Components "The book is aptly and correctly named–A User’s Guide. It is the kind of book that a user at any level, novice or skilled practitioner, would want to have at hand for autotutorial, for refresher, or as a general-purpose guide through the maze of modern PCA." –Technometrics "I recommend A User’s Guide to Principal Components to anyone who is running multivariate analyses, or who contemplates performing such analyses. Those who write their own software will find the book helpful in designing better programs. Those who use off-the-shelf software will find it invaluable in interpreting the results." –Mathematical Geology

Python Data Science Handbook

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Release : 2016-11-21
Genre : Computers
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Book Rating : 138/5 ( reviews)

Python Data Science Handbook - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Python Data Science Handbook write by Jake VanderPlas. This book was released on 2016-11-21. Python Data Science Handbook available in PDF, EPUB and Kindle. For many researchers, Python is a first-class tool mainly because of its libraries for storing, manipulating, and gaining insight from data. Several resources exist for individual pieces of this data science stack, but only with the Python Data Science Handbook do you get them all—IPython, NumPy, Pandas, Matplotlib, Scikit-Learn, and other related tools. Working scientists and data crunchers familiar with reading and writing Python code will find this comprehensive desk reference ideal for tackling day-to-day issues: manipulating, transforming, and cleaning data; visualizing different types of data; and using data to build statistical or machine learning models. Quite simply, this is the must-have reference for scientific computing in Python. With this handbook, you’ll learn how to use: IPython and Jupyter: provide computational environments for data scientists using Python NumPy: includes the ndarray for efficient storage and manipulation of dense data arrays in Python Pandas: features the DataFrame for efficient storage and manipulation of labeled/columnar data in Python Matplotlib: includes capabilities for a flexible range of data visualizations in Python Scikit-Learn: for efficient and clean Python implementations of the most important and established machine learning algorithms

Generalized Principal Component Analysis

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Release : 2016-04-11
Genre : Science
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Book Rating : 114/5 ( reviews)

Generalized Principal Component Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Generalized Principal Component Analysis write by René Vidal. This book was released on 2016-04-11. Generalized Principal Component Analysis available in PDF, EPUB and Kindle. This book provides a comprehensive introduction to the latest advances in the mathematical theory and computational tools for modeling high-dimensional data drawn from one or multiple low-dimensional subspaces (or manifolds) and potentially corrupted by noise, gross errors, or outliers. This challenging task requires the development of new algebraic, geometric, statistical, and computational methods for efficient and robust estimation and segmentation of one or multiple subspaces. The book also presents interesting real-world applications of these new methods in image processing, image and video segmentation, face recognition and clustering, and hybrid system identification etc. This book is intended to serve as a textbook for graduate students and beginning researchers in data science, machine learning, computer vision, image and signal processing, and systems theory. It contains ample illustrations, examples, and exercises and is made largely self-contained with three Appendices which survey basic concepts and principles from statistics, optimization, and algebraic-geometry used in this book. René Vidal is a Professor of Biomedical Engineering and Director of the Vision Dynamics and Learning Lab at The Johns Hopkins University. Yi Ma is Executive Dean and Professor at the School of Information Science and Technology at ShanghaiTech University. S. Shankar Sastry is Dean of the College of Engineering, Professor of Electrical Engineering and Computer Science and Professor of Bioengineering at the University of California, Berkeley.