diff --git a/index.md b/index.md index 9c8bdd3..fcf5310 100644 --- a/index.md +++ b/index.md @@ -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 \(1\):