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Machine Learning Techniques · Quiz 2 · 1 Dec 2024 · September 2024 term

Question 3: A binary classification dataset has 2000 data points belo…

Question 3

+4 marksNumerical answer

A binary classification dataset has 2000 data points belonging to {0,1}2\{0,1\}^2. A Naive Bayes algorithm was run on the same dataset, resulting in the following estimates:

p^, estimate for P(y=1)=0.4p^10, estimate for P(f1=1∣y=0)=0.25p^20, estimate for P(f2=1∣y=0)=0.35p^11, estimate for P(f1=1∣y=1)=0.15p^21, estimate for P(f2=1∣y=1)=0.05\begin{aligned} \hat{p}, &\text{ estimate for } P(y = 1) = 0.4 \\ \hat{p}_1^0, &\text{ estimate for } P(f_1 = 1 \mid y = 0) = 0.25 \\ \hat{p}_2^0, &\text{ estimate for } P(f_2 = 1 \mid y = 0) = 0.35 \\ \hat{p}_1^1, &\text{ estimate for } P(f_1 = 1 \mid y = 1) = 0.15 \\ \hat{p}_2^1, &\text{ estimate for } P(f_2 = 1 \mid y = 1) = 0.05 \end{aligned}

Based on the above data, answer the given subquestions.

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Correct answer: 0.95 (accepted within ±0.01)

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Question 3 of 15 in the IIT Madras BS Machine Learning Techniques (MLT) Quiz 2 paper sat on 1 Dec 2024, in the September 2024 term (IIT M DIPLOMA AN EXAM QDD2 01 Dec 2024). It carries 4 marks.

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