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Discriminative Learning of Local Image Descriptors

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<strong>Learning</strong> Non-Parametric<br />

<strong>Descriptors</strong> (E-block)<br />

E4: Seeking the embedding space under which the<br />

distances between match pairs are minimized and the<br />

distances between non-matches pairs are maximized.<br />

J ( w)<br />

<br />

<br />

l<br />

ij<br />

0<br />

T<br />

( w ( x x ))<br />

2<br />

<br />

T<br />

2<br />

( w ( x ))<br />

l 1 i x<br />

<br />

j<br />

ij<br />

i j<br />

E6: Find projections that minimize the ratio <strong>of</strong> in-class<br />

variance for match pairs to the total data variance.<br />

( wx)<br />

T 2<br />

xiS i<br />

3( ) <br />

<br />

T<br />

2<br />

( w ( x ))<br />

l 1 i x<br />

<br />

j<br />

J w<br />

<br />

ij<br />

2

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