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Deep Learning for Computer Vision · Quiz 2 · 4 Aug 2024 · May 2024 term

Question 25: KL divergence is not a distance metric because \text{KL}…

Question 25

+0.5 marksNumerical answer

KL divergence is not a distance metric because KL(P∥Q)\text{KL}(P\|Q) is (a) __________ to KL(Q∥P)\text{KL}(Q\|P). And KL divergence is always ⩾\geqslant (b) __________.
Suppose P∼Bernoulli(0.8)P \sim \text{Bernoulli}(0.8) and Q∼Bernoulli(0.2)Q \sim \text{Bernoulli}(0.2) then
(c) KL(P∥Q)=\text{KL}(P\|Q) = __________ nats and (d) KL(Q∥P)=\text{KL}(Q\|P) = __________ nats.

Hint: You can use these values of natural log: ln⁡(2)=0.69\ln(2) = 0.69, ln⁡(4)=1.38\ln(4) = 1.38, ln⁡(0.6)=−0.510\ln(0.6) = -0.510, ln⁡(8)=2.079\ln(8) = 2.079, ln⁡(0.4)=−0.91\ln(0.4) = -0.91,
Answer upto two decimal places.

Based on the above data, answer the given subquestions.

Enter the correct answer for (c)

Show answer

Correct answer: 0.83

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Question 25 of 29 in the IIT Madras BS Deep Learning for Computer Vision (Deep Learning for Computer Vision) Quiz 2 paper sat on 4 Aug 2024, in the May 2024 term (IIT M DEGREE AN EXAM QDB2 4 Aug 2024). It carries 0.5 marks.

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