Hierarchical Clustering

Definition
Hierarchical Clustering builds a tree of clusters either by merging small clusters upward or splitting large ones downward. Think of forming a family tree of groups where you can cut the tree at any level to get a clustering. It differs from flat methods (like k-means) because it provides multi-scale structure and doesn't force a fixed number of clusters upfront.
Hierarchical Clustering

How does it work?

Hierarchical Clustering models learn from labeled examples: prepare features, choose a model family, train on examples, and validate on held-out data. Pay attention to data preprocessing, class imbalance, and hyperparameter tuning.

Examples

  • Phylogenetic trees — Build hierarchical relations between species based on genetic distance.
  • Customer hierarchy discovery — Reveal nested segments in user bases for tiered targeting.
  • Agglomerative image grouping — Cluster visual features hierarchically for multi-scale analysis.

Problems

  • Computationally expensive (often O(n^2) or worse) on large datasets
  • Choosing where to cut the dendrogram is subjective
  • Sensitive to the choice of linkage method and distance metric
  • Cannot easily undo early merge/split decisions
  1. Wikipedia: Hierarchical clustering