quiz4_2008

# quiz4_2008 - 6.034 Quiz 4 December 3 2008 Name EMail Circle...

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6.034 Quiz 4 December 3, 2008 Name EMail

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Problem 1: Support Vectors (50 points) Part A (30 points) The following three graphs represent the training data for two-dimensional, linear SVMs. + symbols indicate the coordinates of positive examples, which the classifier should give a value of 1 or more, and – symbols represent the coordinates of negative examples, which the classifier should give a value of -1 or less. For each graph, you should do the following three things: (a) Circle the support vectors (b) Draw the “street” produced by the SVM, with solid lines where the classifier outputs 1 or -1 and a dashed line where the classifier outputs 0 (c) Describe the classifier function h ( x ) = w·x + b , by giving the values of w and b Graph #1 w = b = 2
Graph #2 w = b = Graph #3 w = b = 3

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Part B (20 points) Susan Q. Randomstudent is frustrated by the data she is supposed to classify with a support vector machine. It's all on the same line, defined only by an x -coordinate, and it switches back and forth from clusters of + points to clusters of – points several times, so it's not at all linearly separable.
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quiz4_2008 - 6.034 Quiz 4 December 3 2008 Name EMail Circle...

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