2013 09 27

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Politecnico di Milano Facoltà di Ingegneria dell’Informazione Data Mining and Text Mining Tecniche di Apprendimento Automatico Prof. Pier Luca Lanzi & Ing. Daniele Loiacono September 27, 2013 NAME MATRICOLA Solve the following problems and write the answer inside the problem box. Answers must be clearly written. Pencils are not allowed. The final consists of 5 sheets of paper. It must be returned with all the 5 sheets. No any other sheet can be added. No sheet can be removed. This is a closed-book, closed-notes exam. Only non-programmable calculators are allowed. Notes/books/mobile phones are not allowed. If you are caught using forbidden material, the exam will immediately end and an RP grade will be recorded; then, your Data Mining exam will consist of an oral examination from then on. Grades Data Mining and Text Mining Problems 1, 2, 3, 4 and 5 Tecniche di Apprendimento Automatico per Applicazioni di Data Mining Problems 1, 2, 3, 4 and 5 The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still appears, you may have to delete the image and then insert it again. Problem 1. Given the following eight points (with (x, y) representing location) A1(2, 10), A2(2, 5), A3(8, 4), B1(5, 8), B2(7, 5), B3(6, 4), C1(1, 2), C2(4, 9) and the distance function implemented using the Euclidean distance. Apply k-Means using A1, B1, and C1 as the center of the initial clusters, respectively, and show: (a) the three cluster centers after the first round of execution and (b) the final three clusters Note: graphical representation can be used to speed up the process. Problem 2. Explain what is z-score and why is it used? Then, apply it to the…