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Multimedia Information Extraction and Retrieval Summer Term 2012

Exercise Sheet 7

Ralf M¨ oller, Karsten Martiny Exercise Session:

Thursday, June 21, 2012, 8.00-8.45, SBS95-D1025

1. Three documents d1, d2, d3 with the following properties are given:

• d1 contains a link to d2

• d2 contains a link to every document in the collection

• d3 contains links to d1 and d2

Compute the Pagerank for each document (assuming no teleporting). In order to determine the Pagerank, perform the following steps:

(a) Construct the Markov chain for this scenario.

(b) Give the transition matrix P for the corresponding Markov process.

(c) Check whether the Markov process is ergodic.

(d) Determine the steady state of the process.

(e) Give the Pagerank score for each document.

2. Explain the idea of teleporting when determining the Pagerank scores. What would change in the above situation, if the system using teleporting with a 10% chance?

3. What are the limitations of the above scoring procedure?

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