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Data Science from Scratch by Joel Grus

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Chapter 19. Clustering

Where we such clusters had

As made us nobly wild, not mad

Robert Herrick

Most of the algorithms in this book are what’s known as supervised learning, in that they start with a set of labeled data and use that as the basis for making predictions about new, unlabeled data. Clustering, however, is an example of unsupervised learning, in which we work with completely unlabeled data (or in which our data has labels but we ignore them).

The Idea

Whenever you look at some source of data, it’s likely that the data will somehow form clusters. A data set showing where millionaires live probably has clusters in places like Beverly Hills and Manhattan. A data set showing how many hours people work each week probably has a cluster around 40 (and if it’s taken from a state with laws mandating special benefits for people who work at least 20 hours a week, it probably has another cluster right around 19). A data set of demographics of registered voters likely forms a variety of clusters (e.g., “soccer moms,” “bored retirees,” “unemployed millennials”) that pollsters and political consultants likely consider relevant.

Unlike some of the problems we’ve looked at, there is generally no “correct” clustering. An alternative clustering scheme might group some of the “unemployed millenials” with “grad students,” others with “parents’ basement dwellers.” Neither scheme is necessarily more correct—instead, each is likely more optimal with respect to its own “how good are the ...

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