(One Example of K-NN in Prediction (Time Series))
Line 2: Line 2:
 
We will estimate value of Y for x = 6.
 
We will estimate value of Y for x = 6.
  
X     Y          distance      K-NN value(when K = 2)
+
X = 1 2 3  4  7 6
1    5             5                                           
+
Y = 5 9 15 20 30 ?
2    9             4                                           
+
3    15             3
+
4    20             2                  20                           
+
7    30             1                  30                                           
+
6    ?
+
  
 
1. Decide K. In this example let K = 2.
 
1. Decide K. In this example let K = 2.
  
 
2. Find distance from the current X value
 
2. Find distance from the current X value
 +
 +
  distance: 5 4 3 2 1
  
 
3. Decide K-NN value => 20 & 30
 
3. Decide K-NN value => 20 & 30

Revision as of 22:00, 5 April 2008

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

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