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Exercise 1 - Nearest Neighbors 2D for binary classification: We are given the following training examples in ((-3,5), +), ((-4, –2), +), ((2,1), -), ((4,3),–) Assume that we want to classify the points (-2,0) and (-1,5) using (a) . .a 1-nearest neighbor rule, and (b) a 3-nearest neighbor rule. Use the Euclidean distance (L2-norm) for calculating the distance between the points, in order to determine the k nearest neighbors to the query points given. What is the classification of these two points in each case?

Exercise 1 - Nearest Neighbors 2D for binary classification: We are given the following training examples in ((-3,5), +), ((-4, –2), +), ((2,1), -), ((4,3),–) Assume that we want to classify the points (-2,0) and (-1,5) using (a) . .a 1-nearest neighbor rule, and (b) a 3-nearest neighbor rule. Use the Euclidean distance (L2-norm) for calculating the distance between the points, in order to determine the k nearest neighbors to the query points given. What is the classification of these two points in each case?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
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Exercise 1 - Nearest Neighbors We are given the following training examples in 2D for binary classification: ((-3,5), +), ((-4, –2), +), ((2,1), -), ((4,3),–) Assume that we want to classify the points (-2,0) and (-1,5) using (a). .a 1-nearest neighbor rule, and (b) a 3-nearest neighbor rule. Use the Euclidean distance (L2-norm) for calculating the distance between the points, in order to determine the k nearest neighbors to the query points given. What is the classification of these two points in each case?
Transcribed Image Text:Exercise 1 - Nearest Neighbors We are given the following training examples in 2D for binary classification: ((-3,5), +), ((-4, –2), +), ((2,1), -), ((4,3),–) Assume that we want to classify the points (-2,0) and (-1,5) using (a). .a 1-nearest neighbor rule, and (b) a 3-nearest neighbor rule. Use the Euclidean distance (L2-norm) for calculating the distance between the points, in order to determine the k nearest neighbors to the query points given. What is the classification of these two points in each case?
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