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Google search is the ultimate example (IMO) of an effective, simple, and powerful Markov chain algorithm. For anyone interested in this stuff, check out "The $
by kastnerkyle 12y ago
Google search is the ultimate example (IMO) of an effective, simple, and powerful Markov chain algorithm.
For anyone interested in this stuff, check out "The $25 Billion Dollar Eigenvector"[0]. I did a simple page rank experiment in an IPython notebook[1], demonstrating how PageRank works based on some UBC lectures.
Markov Chain Monte Carlo sampling is the basis of many Bayesian inference techniques, and Markov chains also show up extensively in classic speech recognition pipelines, under various forms of Hidden Markov Models (VB-HMM, GMM-HMM). This stuff forms the foundation of statistical machine learning!
Great post - this simple example serves as a great introduction! Of course, the rabbit hole is deep...
[0] http://www.rose-hulman.edu/~bryan/googleFinalVersionFixed.pdf http://www.rose-hulman.edu/~bryan/googleFinalVersionFixed.pd...
[1] http://kastnerkyle.github.io/blog/2014/04/16/simple-page-rank/ http://kastnerkyle.github.io/blog/2014/04/16/simple-page-ran...
- lcedp 12y agoThat's amazing. One could imagine n(number of pages)-dimensional space in which any point represent some possible pagerank distribution. We consider backlinks information for each of n pages as an axis in new space, thus deriving transformation matrix A. Out true pagerank would be the point(vector) in this space which doesn't change its position after applying transform described by A. Don't know what to imply from that though :)