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Please answer both parts, they are related
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Please answer both parts, they are related
Please answer both parts, they are related
4. Distance from a point to a hyperplane Consider the plane h(x) defined by w = (1, -1,3) and b= 10. (a) What is the distance from point x = (2,2, 2) to h(x)? Explain your computation? (b) Is x = (2,2,2) in the positive or negative half-space defined by h(x)? (c) Give examples of points that could be support vectors for h(x). 5. Best hyperplane for 3 points: Assume there are only 3 point in the training set: 12 y 1 3 +1 3 0 +1 4 -1 What will be the equation of the optimal canonical hyperplane found by hard margin SVM? What would be the equations of the support hyperplanes? Explain your derivation. 21 4
4. Distance from a point to a hyperplane Consider the plane h(x) defined by w = (1, -1,3) and b= 10. (a) What is the distance from point x = (2,2, 2) to h(x)? Explain your computation? (b) Is x = (2,2,2) in the positive or negative half-space defined by h(x)? (c) Give examples of points that could be support vectors for h(x). 5. Best hyperplane for 3 points: Assume there are only 3 point in the training set: 12 y 1 3 +1 3 0 +1 4 -1 What will be the equation of the optimal canonical hyperplane found by hard margin SVM? What would be the equations of the support hyperplanes? Explain your derivation. 21 4
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