ABSTRACT

"This textbook is a well-rounded, rigorous, and informative work presenting the mathematics behind modern machine learning techniques. It hits all the right notes: the choice of topics is up-to-date and perfect for a course on data science for mathematics students at the advanced undergraduate or early graduate level. This book fills a sorely-needed gap in the existing literature by not sacrificing depth for breadth, presenting proofs of major theorems and subsequent derivations, as well as providing a copious amount of Python code. I only wish a book like this had been around when I first began my journey!" -Nicholas Hoell, University of Toronto

"This is a well-written book that provides a deeper dive into data-scientific methods than many introductory texts. The writing is clear, and the text logically builds up regularization, classification, and decision trees. Compared to its probable competitors, it carves out a unique niche. -Adam Loy, Carleton College

The purpose of Data Science and Machine Learning: Mathematical and Statistical Methods is to provide an accessible, yet comprehensive textbook intended for students interested in gaining a better understanding of the mathematics and statistics that underpin the rich variety of ideas and machine learning algorithms in data science.

Key Features:

  • Focuses on mathematical understanding.
  • Presentation is self-contained, accessible, and comprehensive.
  • Extensive list of exercises and worked-out examples.
  • Many concrete algorithms with Python code.
  • Full color throughout.

 

Further Resources can be found on the authors website: https://github.com/DSML-book/Lectures

chapter Chapter 2|47 pages

Statistical Learning

chapter Chapter 3|53 pages

Monte Carlo Methods

chapter Chapter 4|45 pages

Unsupervised Learning

chapter Chapter 5|48 pages

Regression

chapter Chapter 6|37 pages

Regularization and Kernel Methods

chapter Chapter 7|36 pages

Classification

chapter Chapter 8|36 pages

Decision Trees and Ensemble Methods

chapter Chapter 9|31 pages

Deep Learning