Coronavirus: The Mathematics of Contagion
This post is the English translation of an online article I published during the COVID-19 pandemic on Immoderati.it. At the time, I wanted to explain—using simple mathematical tools—how epidemiological models...
Read More →Hopfield Networks - Part 1
With John Hopfield recently receiving the Nobel Prize in Physics, it’s the perfect time to dive into his groundbreaking work on neural networks. In this series, I’ll explore the fascinating...
Read More →Delays are all you need
When dealing with dynamical systems, one usually faces the problem of partially-observed data. The engineering literature deals a lot with partially-observed linear dynamical systems, but do we have any hope...
Read More →The Brownian Motion - Part 3
When starting this series of posts, I claimed that their intent was to argue that Einstein’s description of Brownian motion was his most groundbreaking contribution among the ones he presented...
Read More →The Brownian Motion - Part 2
In this second post about Brownian Motion I will discuss how to solve the Heat Equation. This will lead to a brief introduction to the Fourier Transform and what it...
Read More →The Brownian Motion - Part 1
The study of Brownian motion laid the ground for developing the field of stochastic processes. Einstein was the first to shed light on this phenomenon, but I think this work’s...
Read More →On Forecasting
Predicting the future has always been a crucial goal for humans. In a certain sense, it can be said that it is the fundamental task of science: while it is...
Read More →Learning the Lorenz System
Before digging into some of the saucy details of dynamical systems theory, I think it is time to introduce at least a bit of machine learning in this blog. The...
Read More →The Butterfly Effect
The butterfly effect is the popular concept that “the flap of a butterfly’s wings in Brazil can set off a tornado in Texas”. This idea, which is in fact misunderstood...
Read More →Dynamical Systems
In this first post I’ll simply be discussing some basic aspects of my field of study, which lies at the intersection of Dynamical Systems (DS) and Machine Learning. The scope...
Read More →