In the last article, we talked about how with the correct mathematical definition, we can define a circle, something that usually lives in two dimensions, in any dimension we want. Hopefully, that exercise has helped make it a bit clearer what we mean when we talk about high-dimensional data.

Dimensionality reduction is a technique in which one can put in high-dimensional data (like the example in the last article about films) and run it through an algorithm and try to figure out which dimensions are the most important for understanding similarities and differences between these data points. And these important…

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