3. (a) Derive an expression for the discriminant function g(x) for a 2-class minimum- classifier, based...

  

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3. (a) Derive an expression for the discriminant function g(x) for a 2-class minimum- classifier, based on Euclidean distance, for class means distance-to-class-means and . Is the classifier linear? (b) Continuing from part (a), for the following class means: 0 -[:] 0 [2] -2 Plot the decision boundaries and label the decision regions. 4= Note: Parts (c) and (d) below use the maximal value (or "linear machine") method for multiclass classification. This method is described briefly in the reading (DHS Sec. 5.2.2) and in Discussion 3. It will also be covered in more detail in Lecture 6 (Week 4) on Monday. (c) Repeat part (a) except for a 3-class classifier, using the maximal value method: find the three discriminant functions 8(x), 82 (x), 83(x), given three class me and 3. Express in simplest form. Is the classifier linear? (d) Continuing from part (c), for the following class means: 2 4-[ 2 ] 42-[;) -- [8] 0 Plot the decision boundaries and label the decision regions. 3. (a) Derive an expression for the discriminant function g(x) for a 2-class minimum- classifier, based on Euclidean distance, for class means distance-to-class-means and . Is the classifier linear? (b) Continuing from part (a), for the following class means: 0 -[:] 0 [2] -2 Plot the decision boundaries and label the decision regions. 4= Note: Parts (c) and (d) below use the maximal value (or "linear machine") method for multiclass classification. This method is described briefly in the reading (DHS Sec. 5.2.2) and in Discussion 3. It will also be covered in more detail in Lecture 6 (Week 4) on Monday. (c) Repeat part (a) except for a 3-class classifier, using the maximal value method: find the three discriminant functions 8(x), 82 (x), 83(x), given three class me and 3. Express in simplest form. Is the classifier linear? (d) Continuing from part (c), for the following class means: 2 4-[ 2 ] 42-[;) -- [8] 0 Plot the decision boundaries and label the decision regions.

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a For a 2class minimumdistancetoclassmeans classifier based on Euclidean distance the discrimi... View the full answer