1.1M
MAK-Means is a popular clustering algorithm used in data analysis and machine learning to group data points into a specified number of clusters, k, based on their similarity. It works by assigning each data point to the cluster whose center (called a centroid) is closest to it, then recalculating the centroids until the assignments stop changing or the improvement becomes minimal. The main goal of K-Means is to minimize the Within-Cluster Sum of Squares (WCSS)—a measure of how tightly the points in each cluster are grouped around their centroid. Lower WCSS values indicate more compact clusters, meaning the data points within each cluster are close together and well-separated from other clusters.
However, WCSS alone doesn’t always give a full picture of how good the clustering is, which is where the average Silhouette Score (avg SIL) becomes useful. The silhouette score compares how similar each point is to its own cluster compared to other clusters, producing values between –1 and 1. A higher avg SIL means that clusters are both compact and well-separated, suggesting an appropriate choice of k. Analysts often use both WCSS and avg SIL together: WCSS helps identify the “elbow point” where adding more clusters stops significantly improving the fit, and avg SIL confirms whether those clusters are meaningful. This combination makes K-Means a simple yet powerful tool for uncovering hidden structure in data.
Like this video and follow @mathswithmuza for more!
#math #maths #mathematics #learn #learning #foryou #coding #ai #chatgpt #animation #physics #manim #fyp #reels #study #education #stem #ai #chatgpt #algebra #school #highschool #exam #college #university #cool #trigonometry #statistics #experiment #methods
@mathswithmuza
