GATE DA 2024 Set 1 — Question 63
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Machine Learning → Classification → k-Nearest Neighbors (k-NN)
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Question
Given the two-dimensional dataset consisting of 5 data points from two classes (circles and squares) and assume that the Euclidean distance is used to measure the distance between two points. The minimum odd value of in -nearest neighbor algorithm for which the diamond () shaped data point is assigned the label square is ______.
Correct answer
5 to 5
Solution
The diamond test point is located at coordinates .
We calculate the Euclidean distance from the diamond to all other labeled points:
We calculate the Euclidean distance from the diamond to all other labeled points:
1.Circle at (1, 1):
2.Circle at (1, 2):
3.Square at (3, 2):
4.Square at (2, 3):
5.Square at (3, 3):
Sorting the neighbors by distance:1.Circle ()
2.Circle ()
3.Square ()
4.Square ()
5.Square ()
Now we check the classification for odd values of :- : Nearest neighbor is Circle. Label Circle.
- : Nearest 3 are {Circle, Circle, Square}. Majority is Circle (2 vs 1). Label Circle.
- : Nearest 5 are {Circle, Circle, Square, Square, Square}. Majority is Square (3 vs 2). Label Square.
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