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Mathematics of Machine Learning

Mathematics of Machine Learning

By : Tivadar Danka
3 (2)
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Mathematics of Machine Learning

Mathematics of Machine Learning

3 (2)
By: Tivadar Danka

Overview of this book

Mathematics of Machine Learning provides a rigorous yet accessible introduction to the mathematical underpinnings of machine learning, designed for engineers, developers, and data scientists ready to elevate their technical expertise. With this book, you’ll explore the core disciplines of linear algebra, calculus, and probability theory essential for mastering advanced machine learning concepts. PhD mathematician turned ML engineer Tivadar Danka—known for his intuitive teaching style that has attracted 100k+ followers—guides you through complex concepts with clarity, providing the structured guidance you need to deepen your theoretical knowledge and enhance your ability to solve complex machine learning problems. Balancing theory with application, this book offers clear explanations of mathematical constructs and their direct relevance to machine learning tasks. Through practical Python examples, you’ll learn to implement and use these ideas in real-world scenarios, such as training machine learning models with gradient descent or working with vectors, matrices, and tensors. By the end of this book, you’ll have gained the confidence to engage with advanced machine learning literature and tailor algorithms to meet specific project requirements. *Email sign-up and proof of purchase required
Table of Contents (36 chapters)
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2
Part 1: Linear Algebra
11
References
12
Part 2: Calculus
19
References
20
Part 3: Multivariable Calculus
24
References
25
Part 4: Probability Theory
29
References
30
Part 5: Appendix
31
Other Books You May Enjoy
32
Index

18.1 The language of thinking

First, let’s talk about how we think. On the most basic level, our knowledge about the world is stored in propositions. In a mathematical sense, a proposition is a declaration that is either true or false. (In binary terms, true is denoted by 1 and false is denoted by 0.)

“The sky is blue.”

“There are infinitely many prime numbers.”

“1 + 1 = 3.”

“I got the flu.”

Propositions are often abbreviated as variables such as A = ”it’s raining outside”.

Determining the truth value of a given proposition using evidence and reasoning is called inference. To be able to formulate valid arguments and understand how inference works, we’ll take a quick visit to the world of mathematical logic.

18.1.1 Thinking in absolutes

So, we have propositions such as A = ”it’s raining outside” or B = ”the sidewalk is wet”. We need more expressive power: propositions...

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Mathematics of Machine Learning
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