How Long to Read Nonlinear Principal Component Analysis and Its Applications

How Long Does it Take to Read Nonlinear Principal Component Analysis and Its Applications?

It takes the average reader 1 hour and 20 minutes to read Nonlinear Principal Component Analysis and Its Applications by Yuichi Mori

Assuming a reading speed of 250 words per minute. Learn more

Description

This book expounds the principle and related applications of nonlinear principal component analysis (PCA), which is useful method to analyze mixed measurement levels data. In the part dealing with the principle, after a brief introduction of ordinary PCA, a PCA for categorical data (nominal and ordinal) is introduced as nonlinear PCA, in which an optimal scaling technique is used to quantify the categorical variables. The alternating least squares (ALS) is the main algorithm in the method. Multiple correspondence analysis (MCA), a special case of nonlinear PCA, is also introduced. All formulations in these methods are integrated in the same manner as matrix operations. Because any measurement levels data can be treated consistently as numerical data and ALS is a very powerful tool for estimations, the methods can be utilized in a variety of fields such as biometrics, econometrics, psychometrics, and sociology. In the applications part of the book, four applications are introduced: variable selection for mixed measurement levels data, sparse MCA, joint dimension reduction and clustering methods for categorical data, and acceleration of ALS computation. The variable selection methods in PCA that originally were developed for numerical data can be applied to any types of measurement levels by using nonlinear PCA. Sparseness and joint dimension reduction and clustering for nonlinear data, the results of recent studies, are extensions obtained by the same matrix operations in nonlinear PCA. Finally, an acceleration algorithm is proposed to reduce the problem of computational cost in the ALS iteration in nonlinear multivariate methods. This book thus presents the usefulness of nonlinear PCA which can be applied to different measurement levels data in diverse fields. As well, it covers the latest topics including the extension of the traditional statistical method, newly proposed nonlinear methods, and computational efficiency in the methods.

How long is Nonlinear Principal Component Analysis and Its Applications?

Nonlinear Principal Component Analysis and Its Applications by Yuichi Mori is 80 pages long, and a total of 20,000 words.

This makes it 27% the length of the average book. It also has 24% more words than the average book.

How Long Does it Take to Read Nonlinear Principal Component Analysis and Its Applications Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 49 minutes to read Nonlinear Principal Component Analysis and Its Applications aloud.

What Reading Level is Nonlinear Principal Component Analysis and Its Applications?

Nonlinear Principal Component Analysis and Its Applications is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Nonlinear Principal Component Analysis and Its Applications?

Nonlinear Principal Component Analysis and Its Applications by Yuichi Mori is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Nonlinear Principal Component Analysis and Its Applications by Yuichi Mori on Amazon click the button below.