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BNF Syntax of Ruby Based on http://docs.huihoo.com/ruby/ruby-man-1.4/yacc.html with some edit- ing. I have found other websites attesting that Ruby version 1.4.6 is the latest with a reference manual in English, http://docs.huihoo.com/ruby/ruby-man-1.4/index.html, though Ruby exists up to v1.9 in Japanese. ALL-CAPS are used for nonterminals, and all-lowercase for literal keywords. Literal ( ) [ ]

VARIATIONAL ALGORITHMS FOR APPROXIMATE BAYESIAN INFERENCE by Matthew J. Beal M.A., M.Sci., Physics, University of Cambridge, UK (1998) The Gatsby Computational Neuroscience Unit University College London 17 Queen Square London WC1N 3AR A Thesis submitted for the degree of Doctor of Philosophy of the University of London May 2003 Abstract The Bayesian framework for machine learning allows for the i

*Hyperlinks across sections, equations and citations (which back-reference to the text) are only functional in the whole pdf version, within an enabled viewer like Adobe Acrobat Reader. Abstract The Bayesian framework for machine learning allows for the incorporation of prior knowledge in a coherent way, avoids overfitting problems, and provides a principled basis for selecting between alternative