hw03-contours - Homework 3 Contours Refer to...

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Homework 3: Contours Refer to people.emich.edu/aross15/math560/nlp-matlab for a copy of something like the stuff we did in class. I added some stuff to it, so read it even if you feel like you have a handle on what we did in class. #1: I mentioned that the contour plot we did (for Ordinary Least Squares) shows that if you zoom in close enough, every objective function looks like ellipsoids. Was I being sneaky, by using an objective function that is exactly quadratic? Show that this objective function is or is not exactly quadratic, using symbolic arguments rather than numeric investigation. #2: Re-do the contour plot using the sum of absolute values, rather than the sum of squares. You might need to adjust the resolution of the grid we compute, or the # or value of contours to get a pretty picture. Hint: abs(stuff) computes the absolute value of each element in a vector or matrix named "stuff", giving you back a vector or matrix of the same size. For example, abs([3 4 -5 0 -10]) = [3 4 5 0 10]
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hw03-contours - Homework 3 Contours Refer to...

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