I learned a very interesting relation between numerical integration and Bayesian inference from Diaconis. Which I shortly review in what follows. I am doing teaching assistantship for Monte Carlo methods course. I explained the following exercise as an application of the Monte Carlo principle. It is nice because it coincides with a very intuitive guess. Probabilistic models of nonnegative matrix factorisation.

Nine Chapters on the Semigroup Art. While Googling something or other, I came across Nine Chapters on the Semigroup Art. Which is a leisurely introduction to the theory of semigroups. What Did Grothendieck Do? 1 January, 2015. Since Descartes, a major topic of mathematics research is understanding the solutions to .

A blog about probability and olympiads by Dominic Yeo. The second round of the British Mathematical Olympiad. Be solved by able children. Be solved by able children in less than an hour.

The canonical example is the sequence of distributions. Is a hidden Markov chain and. This is usually called a Hidden Markov Model. Is typically very easy to sample from and.

We introduced the Klein-Gordon equation. Although it is a fundamental equation in relativistic quantum mechanics, it does not really fit the quantum world framework. Does not completely describe the state of a particle at time. Numerical computation of the distribution of the supremum functional. Be a Lévy process with Lévy-Khintchin exponent. This post is not abou.

Updated February 2, 2017.

Attached is the pdf summary detailing the results.

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