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Linear Algebra for Pattern Processing Projection, Singular Value Decomposition, and Pseudoinverse - Kenichi Kanatani 2021 PDF Morgan and Claypool BOOKS SCIENCE AND STUDY
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Linear Algebra for Pattern Processing Projection, Singular Value Decomposition, and Pseudoinverse
Author: Kenichi Kanatani
Year: 2021
Number of pages: 155
Format: PDF
File size: 10 MB
Language: ENG

Linear algebra is one of the most basic foundations of a wide range of scientific domains, and most textbooks of linear algebra are written by mathematicians. However, this book is specifically intended to students and researchers of pattern information processing, analyzing signals such as images and exploring computer vision and computer graphics applications. The author himself is a researcher of this domain.Such pattern information processing deals with a large amount of data, which are represented by high-dimensional vectors and matrices. There, the role of linear algebra is not merely numerical computation of large-scale vectors and matrices. In fact, data processing is usually accompanied with "geometric interpretation." For example, we can think of one data set being "orthogonal" to another and define a "distance" between them or invoke geometric relationships such as "projecting" some data onto some space. Such geometric concepts not only help us mentally visualize abstract high-dimensional spaces in intuitive terms but also lead us to find what kind of processing is appropriate for what kind of goals.

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