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quiz4_2010

# quiz4_2010 - 6.034 Quiz 4 1 December 2010 Name email Circle...

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6.034 Quiz 4 1 December 2010 Name email Circle your TA and recitation time, so that we can more easily enter your score in our records and return your quiz to you promptly. TAs Martin Couturier Kenny Donahue Bobby Keys Gleb Kuznetsov Kendra Pugh Mark Seifter Yuan Shen Thu Time Instructor 1-2 Bob Berwick 2-3 Bob Berwick 3-4 Bob Berwick Fri Time Instructor 1-2 Randall Davis 2-3 Randall Davis 3-4 Randall Davis Problem number Maximum Score Grader 1 50 2 50 Total 100 There are 9 pages in this quiz, including this one, but not including blank pages and tear-off sheets. Tear-off sheets are provided at the end with duplicate drawings and data. As always, open book, open notes, open just about everything, including a calculator, but no computers. 1

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Problem 1: SVMs (50 points) After reading too much Lord of the Rings, you wake up to find yourself in Middle Earth. You decide the most relevant thing to do is to classify the different races around you. Part A: Distinguishing Dwarves from Humans (38 points) You meet 2 dwarves (+) and 3 humans (-) and realize that they have distinguishing features: beard length (x) and height (y). You plot these data points on a grid. Being an expert in SVMs, you decide to start off on an epic journey of classification. A1 (7 points) Draw the decision boundary on the graph above and clearly label positive and negative gutters, and circle all support vectors. What is the width of the road/margin? 2
A2 (12 points) Compute w and b in the decision boundary h u = w ⋅ u b 0 for the SVM solution to part A1.

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