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Neighbourhood Components Analysis

Published on Feb 25, 200719670 Views

Say you want to do K-Nearest Neighbour classification. Besides selecting K, you also have to chose a distance function, in order to define "nearest". I'll talk about a novel method for *learning* -- f

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Chapter list

NEIGHBOURHOOD COMPONENTS ANALYSIS00:06
Basic Classifiers Perform Annoyingly Well01:00
K Nearest Neighbour Classification01:50
Problems with Nearest Neighbour02:48
Learning a Distance Metric04:29
Cross-Validation Performance is Hard to Optimize06:20
Stochastic Neighbour Selection07:44
Expected Leave-One-Out Error09:19
Quadratic Metrics10:13
Optimizing Expected Performance12:04
Neighbourhood Components Analysis (NCA)13:56
Scale of A is also learned15:16
Low Rank Metric - Nonsquare A16:29
Illustration: Concentric Rings18:41
Toy Data: UCI Wine19:53
Face Data21:05
Summary of NCA23:05
Scale of A is also learned 0128:18
Face Data 0130:34