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hw4 - CS446 Pattern Recognition and Machine Learning Fall...

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CS446: Pattern Recognition and Machine Learning Fall 2009 Problem Set 4 Handed Out: October 8, 2009 Due: October 19, 2009 Feel free to talk to your classmates about the homework. I am more concerned that you learn how to solve the problem than that you demonstrate that you solved it entirely on your own. You should, however, write down your solution yourself. Please try to keep the solution brief and clear. Please, no handwritten solutions. Be sure your name appears on the top of each page. Please present your algorithms in both pseudocode and English. That is, give a precise formulation of your algorithm as pseudocode and also explain in one or two concise paragraphs what your algorithm does. Be aware that pseudocode is much simpler and more abstract than real code. Take a look at the textbook pseudocode (e.g. Table 2.5 on page 33) to get an idea about the appropriate level of abstraction. The homework is due at 4:00 pm on the due date. Email write-up and your code to the TA. Please do NOT hand in a hard copy of your write-up. Please put “ < userid > CS446 hw4 submission” as the subject line of the email when you submit your homework to [email protected] . Put all of your files into a single compressed file with the file name“ < userid > -hw4.tgz”. 1. [Computing Margins - 35 points] The margin of a set of points { x 1 , x 2 , . . . , x m } is defined to be the distance of the closest point to the hyperplane w · x c - θ = 0.
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