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Published in:
2012 | OriginalPaper | Chapter
Introduction
Author : Prof. Jianzhong Wang
Published in: Geometric Structure of High-Dimensional Data and Dimensionality Reduction
Publisher: Springer Berlin Heidelberg
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This chapter gives an overview of the book. Section 1 briefly introduces high-dimensional data and the necessity of dimensionality reduction. Section 2 discusses the acquisition of high-dimensional data. When dimensions of the data are very high, we shall meet the so-called curse of dimensionality, which is discussed in Section 3. The concepts of extrinsic and intrinsic dimensions of data are discussed in Section 4. It is pointed out that most high-dimensional data have low intrinsic dimensions. Hence, the material in Section 4 shows the possibility of dimensionality reduction. Finally, Section 5 gives an outline of the book.