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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 FREE CHAPTER
2. Chapter 1: Recap of Mathematical Notation and Terminology 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

Probabilistic Modeling

At the heart of probabilistic modeling is the idea that because data is random, and so follows a probability distribution, our models of that data must also follow a probability distribution and be probabilistic models from the outset. To understand how to build those models, we must first understand the probability distribution that the data follows. From this, we can calculate the distribution that our model parameters follow by using one of the most famous theorems in probability theory. To do all of this, we will cover the following topics:

  • Likelihood: In this section, we will learn about the probability distribution of the data given a model
  • Bayes’ theorem: In this section, we will learn how to work with conditional probabilities and calculate the probability of a model given the data
  • Bayesian modeling: In this section, we will learn how to use the probability of the model given the data to make useful inferences
  • Bayesian modeling...
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