Assume we want to perform k-Nearest Neighbor classification to find the class of an unknown point in two-dimensional Euclidian space. We have two known classes. For each class, we have three points as follows: • Class A: (-1, -1), (-1, -2), (8,9) • Class B: (1, 0), (-7, -6), (5, 5) Assume in k-Nearest Neighbor, the value of k is set to 3. What is the class of the point (0, 0)? Justify your answer and show all intermediate steps. Note: use Manhattan Distance. Dist( (x1, x2), (y1, y2) ) = |x1 – y1| + |x2 – y2| For example, Dist( (-1, -1), (0, 0) ) = |-1 – 0| + |-1 – 0| = 1 + 1 = 2
Assume we want to perform k-Nearest Neighbor classification to find the class of an unknown point in two-dimensional Euclidian space. We have two known classes. For each class, we have three points as follows: • Class A: (-1, -1), (-1, -2), (8,9) • Class B: (1, 0), (-7, -6), (5, 5) Assume in k-Nearest Neighbor, the value of k is set to 3. What is the class of the point (0, 0)? Justify your answer and show all intermediate steps. Note: use Manhattan Distance. Dist( (x1, x2), (y1, y2) ) = |x1 – y1| + |x2 – y2| For example, Dist( (-1, -1), (0, 0) ) = |-1 – 0| + |-1 – 0| = 1 + 1 = 2
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Assume we want to perform k-Nearest Neighbor classification to find the class of an
unknown point in two-dimensional Euclidian space. We have two known classes. For each
class, we have three points as follows:
• Class A: (-1, -1), (-1, -2), (8,9)
• Class B: (1, 0), (-7, -6), (5, 5)
Assume in k-Nearest Neighbor, the value of k is set to 3. What is the class of the point (0, 0)?
Justify your answer and show all intermediate steps.
Note: use Manhattan Distance. Dist( (x1, x2), (y1, y2) ) = |x1 – y1| + |x2 – y2|
For example, Dist( (-1, -1), (0, 0) ) = |-1 – 0| + |-1 – 0| = 1 + 1 = 2
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