This book proposes applications of tensor decomposition to unsupervised
feature extraction and feature selection. The author posits that
although supervised methods including deep learning have become popular,
unsupervised methods have their own advantages. He argues that this is
the case because unsupervised methods are easy to learn since tensor
decomposition is a conventional linear methodology. This book starts
from very basic linear algebra and reaches the cutting edge
methodologies applied to difficult situations when there are many
features (variables) while only small number of samples are available.
The author includes advanced descriptions about tensor decomposition
including Tucker decomposition using high order singular value
decomposition as well as higher order orthogonal iteration, and train
tenor decomposition. The author concludes by showing unsupervised
methods and their application to a wide range of topics.
- Allows readers to analyze data sets with small samples and many
features;
- Provides a fast algorithm, based upon linear algebra, to analyze big
data;
- Includes several applications to multi-view data analyses, with a
focus on bioinformatics.