https://thepalindrome.org/p/the-roadmap-of-mathematics-for-machine-learning
- rotations around the origin in the plane are linear transformations.
In computer science, there is a stark contrast between how we think about mathematical structures and how we represent them inside a computer. Until this point, our goal was to develop a mathematical framework that enables us to reason about the structure of data and its transformations. We want a language that is
• expressive,
• easy to speak,
• as compact as possible.
However, our goals change when we aim to do computations instead of pure logical reasoning. We want implementations that are
• easy to work with,
• memory-efficient,
• fast to access, manipulate and transform.