The reconstruction error points precisely along the direction of the dropped principal components. In the 3D to 2D example, the error aligns with the third principal component (PC3), which was discarded during projection.
Conditions: A subset of principal components has been dropped during dimensionality reduction.; The data is reconstructed using only the retained principal components.
The reconstruction error points precisely along the direction of the dropped principal components. In the 3D to 2D example, the error aligns with the third principal component (PC3), which was discarded during projection.
Conditions: A subset of principal components has been dropped during dimensionality reduction.; The data is reconstructed using only the retained principal components.