Applied matrix and tensor variate data analysis / Toshio Sakata, editor.
| Other author | Sakata, Toshio, 1951- |
| Format | Electronic |
| Publication Info | [Japan] : Springer, [2016] |
| Description | xi, 136 pages : illustrations (some color) 24 cm. |
| Supplemental Content | Full text available from Springer Books |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International |
| Subjects |
| Series | SpringerBriefs in statistics JSS research series in statistics SpringerBriefs in statistics. JSS research series in statistics. |
| Abstract | This book provides comprehensive reviews of recent progress in matrix variate and tensor variate data analysis from applied points of view. Matrix and tensor approaches for data analysis are known to be extremely useful for recently emerging complex and high-dimensional data in various applied fields. The reviews contained herein cover recent applications of these methods in psychology (Chap. 1), audio signals (Chap. 2) , image analysis from tensor principal component analysis (Chap. 3), and image analysis from decomposition (Chap. 4), and genetic data (Chap. 5) . Readers will be able to understand the present status of these techniques as applicable to their own fields. In Chapter 5 especially, a theory of tensor normal distributions, which is a basic in statistical inference, is developed, and multi-way regression, classification, clustering, and principal component analysis are exemplified under tensor normal distributions. Chapter 6 treats one-sided tests under matrix variate and tensor variate normal distributions, whose theory under multivariate normal distributions has been a popular topic in statistics since the books of Barlow et al. (1972) and Robertson et al. (1988). Chapters 1, 5, and 6 distinguish this book from ordinary engineering books on these topics. |
| Bibliography note | Includes bibliographical references. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Issued in other form | Electronic version: Applied matrix and tensor variate data analysis. [Japan] : Springer, 2016 9784431553878 |
| Genre/form | Electronic books. |
| LCCN | 2015959581 |
| ISBN | 9784431553861 (paperback : acid-free paper) |
| ISBN | 443155386X (paperback : acid-free paper) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |