Time Series Estimation Problem We will estimate value of Y for x = 6.

X = 1 2 3 4 7 6 Y = 5 9 15 20 30 ?

1. Decide K. In this example let K = 2.

2. Find distance from the current X value

 distance: 5 4 3 2 1 

3. Decide K-NN value => 20 & 30

4. Estimate Y value by taking K mean values of X

  Y = (20+30)/2 = 25

Answer: Estimated(Predicted) Y = 25

Advantage and Disadvantage of K-NN Algorithm

Advantage 1. Strong to noisy data 2. Works very well for large training data

Disadvantage 1. Highly dependent on the parameter K 2. Computational cost is very high since we need to calculate distance for every input from the traing samples 3. Performance varies depending on distance measure

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Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal