(One Example of K-NN in Prediction (Time Series))
 
 
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Time Series Estimation Problem
 
Time Series Estimation Problem
 
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)
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X = 1 2 3  4  7 6
1    5             5
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Y = 5 9 15 20 30 ?
2    9             4
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3    15             3
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4    20             2                  20
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7    30             1                  30       
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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
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 +
  distance: 5 4 3 2 1
  
 
3. Decide K-NN value => 20 & 30
 
3. Decide K-NN value => 20 & 30
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Answer: Estimated(Predicted) Y = 25
 
Answer: Estimated(Predicted) Y = 25
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== Advantage and Disadvantage of K-NN Algorithm ==
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 +
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Advantage
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1. Strong to noisy data
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2. Works very well for large training data
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 +
Disadvantage
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1. Highly dependent on the parameter K
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2. Computational cost is very high since we need to calculate distance for every input from the traing samples
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3. Performance varies depending on distance measure

Latest revision as of 22:10, 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

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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