The Nearest Neighbor Algorithm - Classes

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Decision Boundaries: The Voronoi Diagram

• Given a set of points,

a Voronoi diagram

describes the areas

that are nearest to

any given point.

• These areas can be

viewed as zones of

control.

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Nearest Neighbor Algorithm • Remember all training examples • Given a new example x, find the its closest training example and predict y i New example • How to measure distance – Euclidean (squared): x − x i 2 = ∑( x − x j j i j ) 2

Decision Boundaries: The Voronoi Diagram • Given a set of points, a Voronoi diagram describes the areas that are nearest to any given point. • These areas can be viewed as zones of control.

Page 1: The Nearest Neighbor Algorithm •
Page 5 and 6: Decision Boundaries With large numb
Page 7 and 8: Effect of K K=1 K=15 Figures from H
Page 9 and 10: Distance Weighted Nearest Neighbor
Page 11 and 12: The Curse of Dimensionality: Illust
Page 13 and 14: Curse of Noise (2) Location of x 1
Page 15: Nearest Neighbor Summary • Advant

The Nearest Neighbor Algorithm - Classes

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