We are close to completion of our forthcoming textbook:
Grey Ballard and Tamara G. Kolda
Tensor Decompositions for Data Science
Cambridge University Press
Under our agreement with the publisher, posted electronic versions of the book are free to view and download for personal use only. These are not for re-distribution, re-sale, or use in derivative works. Here is the shareable link to our preliminary draft:
This book is intended for a graduate-level course in a data-science domain such as mathematics, computer science, engineering, statistics, physics, neuroscience, etc. It is written so that it can be used flexibly. It can be adapted for a subunit in a longer class or can stand on its own in a full semester course. We include substantial background material in linear algebra, optimization, and probability and statistics in the hopes of making the contents widely accessible. The book includes links to several real-world datasets to be used as examples for experiments in the book, grounding the material and providing a playground for student experimentation.