Advanced Customer Segmentation Using Clustering Algorithms

Develop a JavaScript-based customer segmentation tool that implements multiple clustering algorithms (K-Means, DBSCAN, Hierarchical Clustering) with dynamic parameter optimization. Create a comprehensive analysis pipeline that preprocesses data, performs dimensionality reduction using PCA, and visualizes cluster results using interactive 2D/3D scatter plots. Include statistical validation metrics like silhouette score and cluster stability analysis. Implement a flexible input system that can handle various data formats and automatically detect optimal clustering parameters.