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Information Retrieval 5 September 2017

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Information Retrieval

5 September 2017

Name: Surname: Matricola:

Ex 1 [points 4+3+3] Let us given a set of strings S = { atom, bad, baddy, zoo }.

- Build a 2-gram index over S

- Given pattern P = ady, show how the index executes the search for 1-edit error - Given pattern P = ady, show how the index executes the search for 2-edit errors

Ex 2 [points 3+3] You are given the two files: F_old = “cane gatto orso”, F_new = “cane matto dorso”, and assume a block size B=3 chars.

 Show the execution of the algorithm rsync. (comment the various steps)

 Show the execution of the algorithm zsync. (comment the various steps)

Ex 3 [points 4+4] Given the directed graph G consisting of nodes {A, B, C, D} and edges {(B,A), (A,C), (D,C), (A,B)}:

 Compute one step of the PageRank of G’s nodes by assuming that the teleportation step occurs with probability 0.5 and the starting probability distribution is uniform.

 Comment how the similarity between node B and all the other G’s nodes can be estimated by using Personalized PageRank. Apply your algorithm over G for one step only and with the teleportation step occurring with probability 0.5.

Ex 4 [points 2+4] Describe a dynamic index based on a small-big solution or a cascade of indexes, specifying the pros/cons of each of these solutions to the problem of adding and searching documents into the index.

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