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k-means is a method to partition data into clusters by finding a specified number of means, k, s.t. when data are assigned to clusters w/ the nearest mean, the w/i cluster sum of squares is minimized

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Definition of local minimum in k-means algorithm

I know what a local minimum for a function $f:\mathbb{R}^n \rightarrow \mathbb{R}$ is. The error function in a k-means algorithm gets a vector of assignments and a vector of centers. How does the term …
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