HW4

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Arizona State University *

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569

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Computer Science

Date

Dec 6, 2023

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2

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1 CSE 569 Homework #4 Total 3 points Due Tuesday, Nov. 28 by 11:59pm Question 1 . (Problem 1 of Chapter 5) Question 2. (Problem 2 of Chapter 5) . Question 3 . Given the following training samples from two classes: Class 1: (1, 1) t , (2, 2) t , (2, 0) t Class 2: (0, 0) t , (1, 0) t , (0, 1) t (1) Are the two classes linearly separable? (2) Use the Pseudoinverse Approach to find two linear decision boundaries by using the following two vectors for b . (1, 1, 1, 1, 1, 1) t , (1, 1, 1, 1, 1, 2) t , (You may use any tool to compute matrix inversion.) (3) Verify if the solutions from (2) can correctly classify the samples. Question 4 . Given the same training set as in Question 3. (1) Plot the samples in the feature space, and construct by inspection the max-margin linear classifier, which would be what you will get by SVM. (2) What is the margin of the SVM classifier? (3) Plot the decision line from (1) together with those found in Problem 3. Question 5 . (Problem 21 of Chapter 6)
2 Question 6. (Problem 25 of Chapter 6)
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