Name: Dimensionality Reduction Lab
Author: MySimulator

Point cloud shape

Spread along X: 1.6 Spread along Y: 0.5 Rotation angle: 25°

Show projection onto PC1 (1D reduction)

PCA result

PC1 variance explained—

PC2 variance explained—

Reconstruction error (1D)—

PCA finds the direction of maximum variance (PC1, solid) and the orthogonal direction (PC2, dashed) automatically — it never needs to be told the rotation angle you set above.

Points with PCA axes overlaid