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15 Math Concepts Every Data Scientist Should Know

You're reading from   15 Math Concepts Every Data Scientist Should Know Understand and learn how to apply the math behind data science algorithms

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Product type Paperback
Published in Aug 2024
Publisher Packt
ISBN-13 9781837634187
Length 510 pages
Edition 1st Edition
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Author (1):
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David Hoyle David Hoyle
Author Profile Icon David Hoyle
David Hoyle
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Table of Contents (21) Chapters Close

Preface 1. Part 1: Essential Concepts
2. Chapter 1: Recap of Mathematical Notation and Terminology FREE CHAPTER 3. Chapter 2: Random Variables and Probability Distributions 4. Chapter 3: Matrices and Linear Algebra 5. Chapter 4: Loss Functions and Optimization 6. Chapter 5: Probabilistic Modeling 7. Part 2: Intermediate Concepts
8. Chapter 6: Time Series and Forecasting 9. Chapter 7: Hypothesis Testing 10. Chapter 8: Model Complexity 11. Chapter 9: Function Decomposition 12. Chapter 10: Network Analysis 13. Part 3: Selected Advanced Concepts
14. Chapter 11: Dynamical Systems 15. Chapter 12: Kernel Methods 16. Chapter 13: Information Theory 17. Chapter 14: Non-Parametric Bayesian Methods 18. Chapter 15: Random Matrices 19. Index 20. Other Books You May Enjoy

Kernel Methods

Our remaining chapters will now focus on more advanced topics. Due to their advanced nature, we will not attempt to cover them in the same level of detail as we have done for the topics of earlier chapters. Instead, we will focus on getting the essential concepts and ideas behind these topics across. The aim is not to make you an expert in these topics but to introduce you to them so that you can recognize them when you see them again, or if you want to learn more at a later date. This focus on the essentials means that each of these chapters on advanced topics will be shorter than previous chapters.

The first of our advanced topics is kernel methods. Kernel methods, or kernelized learning algorithms, are very widely used. The math they are based on is both advanced and elegant. That math relates to machine learning algorithms that make use of similarities between feature vectors. To understand kernel methods, we will need to understand why similarity-based learning...

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