You want to build your own Tic-Tac-Toe opponent? Then you need to read further! In the Tic-Tac-AI series, I will present a couple of Artificial Intelligence algorithms implemented as Tic-Tac-Toe opponent. In this first article, I will introduce a method called Forward Sampling which is capable of not losing any game of Tic-Tac-Toe!
probability
Win with gambling: MAP estimation on a Bernoulli distribution
In this article, we will try to win a (fictive) lottery called Win-Win. In fact, you will learn how to do a MAP (maximum a posteriori) estimation on a Bernoulli distribution. Don’t worry if you don’t know all these words, everything will be explained. If you already know some of the terms, then you can skip these parts. (more…)
The Mathematics Behind: Rejection Sampling
Suppose that we have a probability density function (PDF) $latex f(x)$ that is impossible to analyze analytically. How can we ever draw samples from this PDF? Luckily, there are many techniques out there and this time I will highlight rejection sampling. A simple to implement (but not always effective) sampling method.
By the way, you should definitely read this article on curve fitting in MATLAB.