Yes, there are several alternatives to the elbow method for determining the optimal number of clusters:
Silhouette Score: Measures how similar an object is to its own cluster compared to other clusters. Davies-Bouldin Index: Evaluates the average similarity ratio of each cluster with its most similar cluster. Gap Statistic: Compares the total within intra-cluster variation for different numbers of clusters with their expected values under null reference distribution of the data.