Contents
- 1 What would be the classification accuracy on the training data if K 1?
- 2 What happens when there is a tie in KNN?
- 3 How do you break ties in KNN?
- 4 How does a KNN calculate the number of nearest neighbors?
- 5 What happens when the kNN is lower than k?
- 6 Is it okay to have more than k observations in KNN?
What would be the classification accuracy on the training data if K 1?
The error rate at K=1 is always zero for the training sample. This is because the closest point to any training data point is itself. Hence it’ll always overfit.
What happens when there is a tie in KNN?
A tie can occur when two or more points are equidistant from an unclassified observation, thereby making it difficult to choose which neighbors are included. In figure ii, there are three neighbors which are equidistant from the unclassified observation M.
How do you break ties in KNN?
The ideal way to break a tie for a k nearest neighbor in my view would be to decrease k by 1 until you have broken the tie. This will always work regardless of the vote weighting scheme, since a tie is impossible when k = 1.
Can KNN be even?
KNN for Classification And the inverse, use an even number for K when you have an odd number of classes. Ties can be broken consistently by expanding K by 1 and looking at the class of the next most similar instance in the training dataset.
What happens if all k nearest neighbors are from different classes?
E.g. all k nearest neighbors are from different classes, or for k=4 there are 2 neighbors from class A and 2 neighbors from class B? What happens if it is not possible to determine exactly k nearest neighbors because there are more neighbors which have the same distance?
How does a KNN calculate the number of nearest neighbors?
In the first step, K is chosen by the user and it tells the algorithm how many neighbors (how many surrounding data points) should be considered when rendering a judgment about the group the target example belongs to. In the second step, note that the model checks the distance between the target example and every example in the dataset.
What happens when the kNN is lower than k?
Lower values of K mean that the predictions rendered by the KNN are less stable and reliable. To get an intuition of why this is so, consider a case where we have 7 neighbors around a target data point.
Is it okay to have more than k observations in KNN?
You are mixing up kNN classification and k-means. There is nothing wrong with having more than k observations near a center in k-means. In fact, this it the usual case; you shouldn’t choose k too large. If you have 1 million points, a k of 100 may be okay.