Measure Theory for Probability: A Very Brief Introduction
In this post we discuss an intuitive, high level view of measure theory and why it is important to the study of rigorous probability.
Read MoreThe Riemann Integral
The Fundamental Theorem of Calculus is a beautiful thing, but it fails to describe some very simple integrals. In this post we look at how the Riemann Integral can solve some of these problems.
Read MoreProgramming the Fundamental Theorem of Calculus
In this post we build an intuition for the Fundamental Theorem of Calculus by using computation rather than analytical models of the problem.
Read MoreHow Big is the Difference Between Being 90% and 99% Certain?
People often discuss the idea of being "90% certain" or "99% sure that this is true", but how big is the difference between these two values? It turns out that the difference between these values is similiar to the difference between having $10 and $100 in your wallet.
Read MoreRejection Sampling and Tricky Priors
We have looked at working with a variety of analytical priors, but how can you sample from a prior probability that is not so mathematically pleasant to work with? In this post we learn about Rejection Sampling as one method of solving this problem.
Read MoreMoments of a Random Variable Explained
Why is Variance related to X squared? To understand this we need to understand Moments of a Random Variable. Read on to learn about the relationship between Variance, Moments of a Random Variable and Jensen's inequality.
Read MoreWriting Finnegans Wake with a Recurrent Neural Net
A short post playing with the idea of using a Recurrent Neural Network to automatically generate text from James Joyce's Finnegans Wake.
Read MoreSmall List of Gigantic Books for Summer Reading!
Some people like "light" beach reading during the summer. I prefer sinking my teeth into a massive, challenging and summer long book. Here are a few of my favorites.
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