Linear Algebra for Data Science, Machine Learning, and Signal Processing

“Linear Algebra for Data Science, Machine Learning, and Signal Processing” by Jeffrey A. Fessler is published by Cambridge University Press and will be available on May 16, 2024. This 450-page book aims to enhance student engagement and understanding of matrix methods in various data-driven applications. It introduces matrices through two preliminary chapters and progresses to advanced topics, including the nuclear norm, proximal operators, and convex optimization, while highlighting practical applications such as low-rank approximation and logistic regression.
Readers will find a comprehensive teaching package that includes over 200 multiple-choice questions for interactive learning and quizzes, along with homework exercises that come with solutions for instructors. The book promotes active learning through ‘explore’ questions and provides Julia code examples to illustrate the practical use of mathematics. Designed for upper-level undergraduates and first-year graduate students with a foundational knowledge of linear algebra, this edition offers a suite of computational notebooks to facilitate a hands-on learning experience.
Official synopsis Publisher
Maximise student engagement and understanding of matrix methods in data-driven applications with this modern teaching package. Students are introduced to matrices in two preliminary chapters, before progressing to advanced topics such as the nuclear norm, proximal operators and convex optimization. Highlighted applications include low-rank approximation, matrix completion, subspace learning, logistic regression for binary classification, robust PCA, dimensionality reduction and Procrustes problems. Extensively classroom-tested, the book includes over 200 multiple-choice questions suitable for in-class interactive learning or quizzes, as well as homework exercises (with solutions available for instructors). It encourages active learning with engaging ‘explore’ questions, with answers at the back of each chapter, and Julia code examples to demonstrate how the mathematics is actually used in practice. A suite of computational notebooks offers a hands-on learning experience for students. This is a perfect textbook for upper-level undergraduates and first-year graduate students who have taken a prior course in linear algebra basics.
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