For a given set of training data and a query xq, the k-nearest-neighbours algorithm finds the k examples that are nearest to xq based on a selected distance measure, denoted as NN(k, xq). Suppose we use KNN to solve a regression problem by taking the average of the output values of k neighbours. If the output values of k=4 neighbours are {8,9,11,12), what is the output for this query sample xq (Keep one decimal place)?
Question
For a given set of training data and a query xq, the k-nearest-neighbours algorithm finds the k examples that are nearest to xq based on a selected distance measure, denoted as NN(k, xq). Suppose we use KNN to solve a regression problem by taking the average of the output values of k neighbours. If the output values of k=4 neighbours are {8,9,11,12), what is the output for this query sample xq (Keep one decimal place)?
Solution
To solve this problem, we need to take the average of the output values of the 4 nearest neighbours.
The output values are {8, 9, 11, 12}.
Step 1: Add up all the output values. 8 + 9 + 11 + 12 = 40
Step 2: Divide the sum by the number of output values (which is 4 in this case). 40 / 4 = 10
So, the output for the query sample xq is 10.0 (keeping one decimal place).
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