Week 5 Flashcards

1
Q

PCA advantages

A

Efficient
Strong theoretical background
Can be used to store data efficiently (image compression)
Visual evaluation possible for small number of components

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2
Q

Scaling matrix

A
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3
Q

Rotation clockwise

A
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4
Q

Rotation anticlockwise

A
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5
Q

Reflection about x axis

A
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6
Q

Reflection about y axis

A
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7
Q

Reflection about origin

A
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8
Q

Sheer in X direction

A
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9
Q

Sheer in Y direction

A
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10
Q

Sheer in x and y direction

A
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11
Q

PCA algo

A

1) compute mean ‘row’ vector (1 x d)

2) compute mean row matrix (n x d)

3) B = X - X-

4) C = 1/n • BTB

5) take eigenvectors for k largest eigenvalues

6) W = (v1,v2,…,vk)

7) multiply each data point

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12
Q

How much variance did you capture in PCA

A

Where r = k

Closer to 1 means more variance captured

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