## Probability Inequalities: Why should I care

I wrote my Masters Thesis on Probability inequalities. This short gist is some notes I wrote up to help me remember the basics of probability inequalities. You may find it useful. Sorry, something went wrong. Reload? Sorry, we cannot display this file. Sorry, this file is invalid so it cannot be displayed. Viewer requires iframe.… Continue reading Probability Inequalities: Why should I care

## Interview with a Data Scientist: Peadar Coyle

Peadar Coyle is a Data Analytics professional based in Luxembourg. His intellectual background is in Mathematics and Physics, and he currently works for Vodafone in one of their Supply Chain teams. He is passionate about data science and the lead author of this project. He also contributes to Open Source projects and speaks at EuroSciPy,… Continue reading Interview with a Data Scientist: Peadar Coyle

## Book Review: Analytics in a Big Data World

So this is a quick review of a book that ended up in my mailbox a few months ago. Firstly the good: this is a good academic introduction to a variety of techniques all in one reference book. I particularly liked the discussion of Process mining and survival analysis as I feel these are techniques… Continue reading Book Review: Analytics in a Big Data World

## Markov Chains and Monte Carlo Algorithms

1. General state space Markov chains Most applications of Markov Chain Monte Carlo algorithms (MCMC) are concerned with continuous random variables, i.e the corresponding Markov chain has a continuous state space S. In this section we will give a brief overview of the theory underlying Markov chains with general state spaces. Although the basic principles… Continue reading Markov Chains and Monte Carlo Algorithms

## Transfinite Induction

\maketitle 1. Introduction This is supposed to be a primer inspired by a piece by Hilbert Levitz. The theory of transfinite ordinals is a part of set theory. While the concept is tied up with the completed infinite and high cardinalities, we’ll emphasize more constructive aspects of the theory. There have been applicatons of constructive… Continue reading Transfinite Induction

## Information Retrieval

Attention conservation notice: 680 words about Information Retrieval, and highly unoriginal. The following is very much inspired by a course by Cosma Shalizi but I felt it was worth rewriting to get to grips with the concepts. This is the first of what is hopefully a series of posts on ‘Information Retrieval’, and applications of… Continue reading Information Retrieval

## Category theory and information

I often think about information. http://math.mit.edu/~dspivak/informatics/pure/ is a fascinating research project by the excellent David Spivak. Who I believe was a student of Jacob Lurie. I wonder how important Category theory will be.

## Yang Mills

To define the Yang-Mills Lagrangian, we need to define the ‘Trace’ of an End(E) valued form. Recall that the Trace of a matrix is the sum of its diagonal enTries. The Trace is independent of the choice of basis – an invariant notion that is independent of the choice of basis. A definition of the… Continue reading Yang Mills

Cosma Shalizi, has an excellent talk on Academic talks.