Final_Exam

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Final Exam – CS5804: Introduction to AI [Fall 2023] Due: Dec 11th at 11:59pm Points: 100 Instructions: Please be advised that NO explanations are required , and there will be NO partial credit awarded for any of the questions. Question 1: Likelihood Weighting Q1.1 (6 pts) Note: Select all the options that are applicable 1) +x, +y, +z 2) -x, +y, +z 3) -x, -y, +z 4) +x, -y, -z 5) +x, -y, +z

Q1.2 (6 pts) Note: Your answer should be a numerical value Question 2

Q2.1 (4 pts) Q2.2 (6 pts)

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Question 3: Estimating Probabilities from Weighted Samples (6 pts) Question 4: Bayes' Nets Independence

Q4.1 (6 pts) Note: Select all the options that are applicable 1) a 2) b 3) c Q4.2 (6 pts) Note: Select all the options that are applicable 1) a 2) b 3) c Q4.3 (6 pts) 1) a 2) b 3) c Question 5: D-Separation

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Q5.1 (3 pts) ● True ● False Q5.2 (3 pts) ● True ● False

Question 6: Particle Filtering Implementation Q6.1 (4 pts) ● True ● False Q6.2 (4 pts) ● True ● False Q6.3 (4 pts) ● True ● False

Question 7: Naïve Bayes Q7.1 (4 pts)

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Q7.2 (4 pts) Q7.3 (4 pts) Question 8: Value of Perfect Information (6 pts) Note: Select all the options that are applicable Option 1: VPI is guaranteed to be positive ( > 0 ) Option 2: VPI is guaranteed to be nonnegative ( >=0 ) Option 3: VPI is guaranteed to be nonzero Option 4: The MEU after observing a node could potentially be less than the MEU before observing that node Option 5: For any two nodes X and Y, VPI(X) + VPI(Y) >= VPI(X,Y). That is, the sum of individual VPI's for two nodes is always greater than or equal to the VPI of observing both nodes Option 6: VPI is guaranteed to be exactly zero for any node that is conditionally independent (given the evidence so far) of all parents of the utility node

Question 9 Q9.1 (6 pts) Q9.2 (6 pts) Q9.3 (6 pts)

Final_Exam

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