Given the following two classes: Class A {(2, 2), (0, 2), (2, 2)} Class B {(-2, 0), (0, 0), (2, 0)} i. ii. M 111. iv. V. Plot the two classes. Find the mean of each class. Find the equation of the plane that separates those classes halfway between their respective means. That is, find the separating plane that could be used for classification with maximum margin between the classes; should produce positive values for class B and negative values for class A. (Calculate the x-value and y-value of the midpoint between the sample mean of class A and class B). Calculate the x-value and y-value of the normalized vector that points towards class B. Calculate the weights (slopes) in the equation of the separating plane = Bo+ Bix + Bay that creates the separating line in the level set z = 0 Z =

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
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QUESTION 5
Given the following two classes:
Class A
Class B
i.
ii.
iii.
iv.
V.
{(2, 2), (0, 2), (2, 2)}
{(-2, 0), (0, 0), (2, 0)}
Plot the two classes.
Find the mean of each class.
Find the equation of the plane that separates those classes halfway between their
respective means. That is, find the separating plane that could be used for classification
with maximum margin between the classes; should produce positive values for class B
and negative values for class A.
(Calculate the x-value and y-value of the midpoint between the sample mean of class A
and class B).
Calculate the x-value and y-value of the normalized vector that points towards class B.
Calculate the weights (slopes) in the equation of the separating plane
= Bo+ Bix + 2y
that creates the separating line in the level set z = 0
Z =
Transcribed Image Text:QUESTION 5 Given the following two classes: Class A Class B i. ii. iii. iv. V. {(2, 2), (0, 2), (2, 2)} {(-2, 0), (0, 0), (2, 0)} Plot the two classes. Find the mean of each class. Find the equation of the plane that separates those classes halfway between their respective means. That is, find the separating plane that could be used for classification with maximum margin between the classes; should produce positive values for class B and negative values for class A. (Calculate the x-value and y-value of the midpoint between the sample mean of class A and class B). Calculate the x-value and y-value of the normalized vector that points towards class B. Calculate the weights (slopes) in the equation of the separating plane = Bo+ Bix + 2y that creates the separating line in the level set z = 0 Z =
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