Watch Ethan Carragher explain how the k-nearest neighbours (kNN) algorithm works and can be a good starting point for a more complicated analysis.
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This video is a walk-through of how the k-nearest neighbours algorithm works. It is a relatively simple technique, and it can be understood pictorially with a minimum of mathematics. Despite its simplicity, the algorithm often gives results that are perfectly usable and, if not, is usually good as a starting point for a more complicated analysis.