Clicker Questions MT 1

A the covariance matrix b the top eigenvector of the

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Unformatted text preview: oes the c vector represent? A) The covariance matrix B) The top eigenvector of the Covariance matrix C) The coordinates of the zero-meaned data point in the Principal components space 4 ← ← ← Reconstruct ← VT z c VT z Clicker question v1 → c1 ← v1 → ↑ ↑ c v2 → z = M2 M ← v 2 → z = c v k → M k ↓ M M →) ↓ (i ) ← v k (i zero-meaned pattern using ˆ = Vreducedc reduced z c D v D → c c1 c 2 M c k • PCA approximates the mean-subtracted point, z = x – m , as a weighted sum of the first k eigenvectors : z= V ↑ ↑ z = v 1 ↓ ↓ ↑ v2 ↓ c c ↑ ↑ ↑ ↑ 1 c 2 L vk = c1 v1 + c2 v 2 + L + ck v k M ↓ ↓ ↓ ↓ c k Tim Marks, Cognitive Science Department W...
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