Skip to content
ml-recall

#low-rank-approximation

2 questions from Dimensionality Reduction

Timed test

2 questions · 2 min · score and explanations at the end

Take a test
Q 1 / 2Score 0 / 0

Question 1: Short answer

hardAI-checkedDimensionality Reduction

The centered data matrix XX has singular values 5, 3, 15,\ 3,\ 1. You reconstruct it from the first principal component only, which gives the best rank-1 approximation X1X_1. What is the reconstruction error ∥X−X1∥F\lVert X - X_1 \rVert_F (Frobenius norm)?

3 decimals