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Non-Linear Regression 4. The following diagram shows a training set with four negative points (green circles) and four positive points (purple squares). 0,101 10.101 (46)

Non-Linear Regression

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4. The following diagram shows a training set with four negative points (green circles) and four positive points (purple squares). 0,101 10.101 (46) (66) (44) (64) 000) go It has no useful linear separating boundary, but the following nonlinear transformation turns points (x122) in the space shown to points in another space, which we shall call 0'1:12). The transformation is: 31 = (x2-532 32 = (x2-5)2 In the (719) space, something very convenient happens. All the negative points are mapped to the point (1.1), and all the positive points are mapped to the point (25,25). Your task is to find the maximum-margin separator in the ('1%) space (the transformed space). Then, determine which new points in the original (*1-*2) space would be classified as positive, and which would be classified as negative. That is what curve in the original space transforms to the straight-line boundary in the transformed space? Identify the true statement in the list of choices below. a) (5,10) is on the boundary. b) (10.4) is classified as negative. c) (6.0) is classified as positive. d) (6.10) is on the boundary. 4. The following diagram shows a training set with four negative points (green circles) and four positive points (purple squares). 0,101 10.101 (46) (66) (44) (64) 000) go It has no useful linear separating boundary, but the following nonlinear transformation turns points (x122) in the space shown to points in another space, which we shall call 0'1:12). The transformation is: 31 = (x2-532 32 = (x2-5)2 In the (719) space, something very convenient happens. All the negative points are mapped to the point (1.1), and all the positive points are mapped to the point (25,25). Your task is to find the maximum-margin separator in the ('1%) space (the transformed space). Then, determine which new points in the original (*1-*2) space would be classified as positive, and which would be classified as negative. That is what curve in the original space transforms to the straight-line boundary in the transformed space? Identify the true statement in the list of choices below. a) (5,10) is on the boundary. b) (10.4) is classified as negative. c) (6.0) is classified as positive. d) (6.10) is on the boundary

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