David Mackay's book review and some solutions of exercises.out

\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [2][-]{subsection.1.1}{Some formula in the chapter 1 of the book}{section.1}% 2
\BOOKMARK [2][-]{subsection.1.2}{Assumptions in inference}{section.1}% 3
\BOOKMARK [1][-]{section.2}{Clustering and Maximum Likelihood}{}% 4
\BOOKMARK [2][-]{subsection.2.1}{Motivation of clustering}{section.2}% 5
\BOOKMARK [2][-]{subsection.2.2}{K-means}{section.2}% 6
\BOOKMARK [2][-]{subsection.2.3}{Exercise 22.5}{section.2}% 7
\BOOKMARK [2][-]{subsection.2.4}{Exercise 22.15}{section.2}% 8
\BOOKMARK [2][-]{subsection.2.5}{Exercise 24.3}{section.2}% 9
\BOOKMARK [1][-]{section.3}{Gaussian approximation and model comparison}{}% 10
\BOOKMARK [2][-]{subsection.3.1}{Laplace approximation}{section.3}% 11
\BOOKMARK [3][-]{subsubsection.3.1.1}{Exercise 27.1}{subsection.3.1}% 12
\BOOKMARK [3][-]{subsubsection.3.1.2}{Exercise 27.3}{subsection.3.1}% 13
\BOOKMARK [2][-]{subsection.3.2}{Occam's razor}{section.3}% 14
\BOOKMARK [3][-]{subsubsection.3.2.1}{Exercise 28.1}{subsection.3.2}% 15
\BOOKMARK [3][-]{subsubsection.3.2.2}{Exercise 28.2}{subsection.3.2}% 16
\BOOKMARK [1][-]{section.4}{Monte Carlo method}{}% 17
\BOOKMARK [2][-]{subsection.4.1}{Exercise 29.3}{section.4}% 18
\BOOKMARK [2][-]{subsection.4.2}{Rejection sampling}{section.4}% 19
\BOOKMARK [2][-]{subsection.4.3}{The Metropolis-Hastings method}{section.4}% 20
\BOOKMARK [2][-]{subsection.4.4}{Gibbs sampling}{section.4}% 21
\BOOKMARK [2][-]{subsection.4.5}{Markov chain}{section.4}% 22
\BOOKMARK [2][-]{subsection.4.6}{Exercise 29.7}{section.4}% 23
\BOOKMARK [2][-]{subsection.4.7}{Slice sampling}{section.4}% 24
\BOOKMARK [3][-]{subsubsection.4.7.1}{Exercise 29.10}{subsection.4.7}% 25
\BOOKMARK [2][-]{subsection.4.8}{Practicalities}{section.4}% 26
\BOOKMARK [1][-]{section.5}{Efficient Monte Carlo Methods}{}% 27
\BOOKMARK [2][-]{subsection.5.1}{Summary of Monte Carlos methods }{section.5}% 28
\BOOKMARK [2][-]{subsection.5.2}{Hamiltonian Monte Carlo}{section.5}% 29
\BOOKMARK [2][-]{subsection.5.3}{Over-relaxation}{section.5}% 30
\BOOKMARK [3][-]{subsubsection.5.3.1}{Exercise 30.2}{subsection.5.3}% 31
\BOOKMARK [1][-]{section.6}{Ising Model}{}% 32
\BOOKMARK [2][-]{subsection.6.1}{3 reasons for relevance}{section.6}% 33
\BOOKMARK [2][-]{subsection.6.2}{Direct computation of partition function of Ising models}{section.6}% 34