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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

3.3 Summary

In this chapter, we finally dug into the trenches of practice instead of merely looking out from the towers of theory. Previously, we saw that NumPy arrays are the ideal tools for numeric computations, especially linear algebra. Now, we use them to provide fast and elegant implementations of what we learned in the previous chapter: norms, distances, dot products, and the Gram-Schmidt process.

Besides vectors, we also finally introduced matrices, one of the most important tools of machine learning. This time, we introduced, in a practical manner, viewing matrices as a table of numbers. Matrices can be transposed and added together, and unlike vectors, they can be multiplied with each other as well.

Speaking of our “from scratch” approach, before looking into how to actually work with matrices in practice, we created our very own Matrix implementation in vanilla Python. Closing the chapter, we dealt with the fundamentals and best practices of two-dimensional NumPy...

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Mathematics of Machine Learning
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