Mathematical Sciences for Artificial Intelligence

The course aims to introduce the basic concepts of probability and statistics, in particular in relation to the possibility of modelling some concrete problems with probabilistic methods. The course will then present various methods for computing the probability of relatively complex events, the definition and elementary properties of discrete and continuous random variables, detailing important examples and discussing a few limit theorems. At the end of the course the conscientious student should be able to tackle a concrete problem with stochastic elements, build a satisfactory probabilistic modelling, identify if he is able to find an explicit solution within the developed theory and introduce the relevant statistical estimators.