A2 - Assignment 2: Bayesian Networks and Classifiers...

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Assignment 2: Bayesian Networks and Classifiers CSC384H – Fall 2009 Out: October 7, 2009 Due: November 2, 1 p. m. Written work should be handed in during class. Programming should be handed in via CDF, before class. Assignment is worth 15% of your final mark 1. Bayesian Network Inference (4 points). In the Bayesian Network shown below, all variables are binary with values Dom(A)={A,~A}, Dom(B)={B,~B}, etc. The probability table values are as follows: P(A)=0.9 P(B)=0.7 P(G)=0.75 P(D | C) = 0.9 , P(D | ~ C) = 0.06 P(C | A,B) = 0.95 , P(C | A,~B) = 0.01 , P(C | ~A,B) = 0.6 , P(C | ~A,~B) = 0.03 P(E | C,G) = 0.95 , P(E | C,~G) = 0.01 , P(E | ~C,G) = 0.9 , P(E | ~C,~G) = 0.3 P(F | C,G) = 0.8 , P(F | C,~G) = 1.0 , P(F | ~C,G) = 0.1 , P(F | ~C,~G) = 0.5 Compute the following probabilities (show your work): a) P(E | A) (1/2 point) b) P(D | A,B) (1/2 point) c) P(F | ~E) (1.5 points) d) P(G | B,F) (1.5 points)
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2. (5 points, 1 point each) For the Bayesian Network below, answer the following questions. Justify your answers using the d-separation criterion. a) List all nodes dependent on 4. b) List all nodes dependent on 4 given 11. c) List all nodes dependent on 1 given 5. d) List all nodes dependent on 7 given 9. e) List all nodes dependent on 2 given 8. 3 (6 points, 5 for answers to questions and 1 for clear, concise and correct code). In this part of the assignment, you will implement a naive bayes classifier and apply it to stock data. Your specific goal will be to predict stock market trends in the days following the appearance of a semi-annual report, given various features of those semi-annual reports. The tool you will be using to implement your classifier will be MATLAB.
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This note was uploaded on 11/01/2010 for the course COMPUTER S CSC384 taught by Professor Sheila during the Fall '05 term at University of Toronto.

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A2 - Assignment 2: Bayesian Networks and Classifiers...

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