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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

Non-Parametric Bayesian Methods

Building a predictive model requires us to make assumptions. For example, we often need to assume some fixed mathematical form for the relationship between our predictive features and the response variable. It is the parameters within that mathematical form that we usually vary and optimize through a training process, not the mathematical form. If those parametric assumptions are incorrect, we get a poorly performing model. Often it would be better to not make those parametric assumptions and to use a non-parametric modeling approach. That is what we do in this chapter. We do so by putting Bayesian priors on the functions and relationships that we model. This makes the methods we use non-parametric Bayesian methods. To learn about them we must introduce some new modeling ideas and concepts. We do that by covering the following topics:

  • What are non-parametric Bayesian methods?: This is where we learn about the key concept of not making parametric...
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