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@@ -55,7 +55,7 @@ Assume, we are given $n$ data points and we wish to split the data into $K < n$
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different categories, or clusters. We label each cluster by an integer
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!bt
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\[ k\in\{1, \cdots, K \}$.
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\[ k\in\{1, \cdots, K \}.
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\]
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!et
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@@ -151,7 +151,7 @@ Now we have all the pieces necessary to formally revisit the $k$-means algorithm
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The $k$-means clustering algorithm goes as follows
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o For a given cluster assignment $C$, and $k$ cluster means
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$\left{m_1, \cdots, m_k\right}$. We minimize the total cluster variance with respect to
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$\left\{m_1, \cdots, m_k\right\}$. We minimize the total cluster variance with respect to
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the cluster means $\{m_k\}$ yielding the means of the currently assigned
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clusters.
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o Given a current set of $k$ means $\{m_k\}$ the total cluster variance is
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