[Big Data] pageRank and link analysis && MapReduce
Question 1
Suppose we compute PageRank with a β of 0.7, and we introduce the additional constraint that the sum of the PageRanks of the three pages must be 3, to handle the problem that otherwise any multiple of a solution will also be a solution. Compute the PageRanks a, b, and c of the three pages A, B, and C, respectively. Then, identify from the list below, the true statement.
Your Answer | Score | Explanation | |
---|---|---|---|
a + c = 2.595 | Correct | 1.00 | |
a + c = 1.985 | |||
a + b = 0.55 | |||
b + c = 2.735 | |||
Total | 1.00 / 1.00 |
Question 2
Suppose we compute PageRank with β=0.85. Write the equations for the PageRanks a, b, and c of the three pages A, B, and C, respectively. Then, identify in the list below, one of the equations.
Your Answer | Score | Explanation | |
---|---|---|---|
.95b = .475a + .05c | Correct | 1.00 | |
c = b + .575a | |||
85b = .575a + .15c | |||
c = .9b + .475a | |||
Total | 1.00 / 1.00 |
Question 3
Assuming no "taxation," compute the PageRanks a, b, and c of the three pages A, B, and C, using iteration, starting with the "0th" iteration where all three pages have rank a = b = c = 1. Compute as far as the 5th iteration, and also determine what the PageRanks are in the limit. Then, identify the true statement from the list below.
Your Answer | Score | Explanation | |
---|---|---|---|
After iteration 4, b = 1/2 | Correct | 1.00 | |
After iteration 4, a = 9/8 | |||
In the limit, c = 9/7 | |||
In the limit, a = 5/4 | |||
Total | 1.00 / 1.00 |
Question 4
The reduce function is addition. That is, reduce(p, [i1, i2, ...,ik]) is (p,i1+i2+...+ik).
Compute the output, if the input is the set of integers 15, 21, 24, 30, 49. Then, identify, in the list below, one of the pairs in the output.
Your Answer | Score | Explanation | |
---|---|---|---|
(5,30) | |||
(7,86) | |||
(5,45) | Correct | 1.00 | |
(2,47) | |||
Total | 1.00 / 1.00 |
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