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Update index.md
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vishrut-b authored Dec 21, 2024
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Expand Up @@ -78,15 +78,13 @@ K-Means is chosen for this project because:
#### Mathematical Objective:
K-Means minimizes the **Within-Cluster Sum of Squares (WCSS)**:

$$
WCSS = \sum_{i=1}^{k} \sum_{x \in C_i} \|x - \mu_i\|^2
$$
$$WCSS = \sum_{i=1}^{k} \sum_{x \in C_i} \| x - \mu_i \|^2$$

Where:
- \( k \): Number of clusters
- \( C_i \): Cluster \( i \)
- \( \mu_i \): Centroid of cluster \( i \)
- \( x \): Data point
- k: Number of clusters
- $C_{i}$: Cluster \( i \)
- $\mu_{i}$: Centroid of cluster \( i \)
- x: Data point

#### Silhouette Score:
The **Silhouette Score** evaluates the quality of clustering by comparing intra-cluster and inter-cluster distances. It ranges from \(-1\) to \(1\):
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