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Google’s means to provide better search results

Google’s means to provide better search results. Qi-Yuan Gou. Considerations. Volume of the database How large is the Internet? "The World's Largest Matrix Computation.“ Cleve Moler, founder of Matlab. Source: www.wikipedia.com. Source: www.wikipedia.com. History. Pagerank: What is it?

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Google’s means to provide better search results

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  1. Google’s means to provide better search results Qi-Yuan Gou

  2. Considerations • Volume of the database • How large is the Internet? • "The World's Largest Matrix Computation.“ • Cleve Moler, founder of Matlab Source: www.wikipedia.com Source: www.wikipedia.com

  3. History • Pagerank: What is it? • Larry Page • Sergey Brin • Google Source: www.wikipedia.com

  4. Preparation • Graph theory • Network analysis • Computer science • Linear algebra • Stochastic process • Markov process • Set of possible outcomes/states is finite • Probability of n depends only on n-1 • The probabilities are constant over time Source: www.york.ac.uk

  5. Simple Markov process

  6. Complicated Markov Process

  7. The Strategy • Markov process determines starting matrices • Diagonalize • Find steady-state vectors • Solution gives the overall rankings – PR – to each element

  8. The General Case

  9. Sample case n=4

  10. Source: www.cs.princeton.edu

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