5.3 t-SNE and UMAP for High-Dimensional Data
When dealing with high-dimensional datasets, the challenge of reducing dimensionality while maintaining meaningful structure becomes paramount. Although Principal Component Analysis (PCA) proves effective for linear transformations, it often falls short in capturing the intricate non-linear relationships inherent in complex data structures. This limitation necessitates the exploration of more sophisticated techniques.
Enter t-Distributed Stochastic Neighbor Embedding (t-SNE) and Uniform Manifold Approximation and Projection (UMAP), two advanced non-linear dimensionality reduction techniques. These methods are specifically engineered to visualize high-dimensional data in lower-dimensional spaces, typically ...