Author: Pedro Pessoa

528f212a617541cba2761a9a7c1c9256 A classic problem that puzzles most who have studied probability is the Monty Hall problem, whose statement is deceptively simple: You are on a game show. The host offers you the choice of three doors. Behind one door is a brand-new car; behind the other two are goats. You pick one door. The host,…

Welcome file Introduction While I usually prefer the Day/Month/Year calendar format, I have to admit that the Month/Day/Year format offers something unique: it gives us 3/14, officially recognized as π\piπ day by the United States and Belize. A common example in sampling/Monte Carlo methods is the estimation of π\piπ. These examples typically involve running many…

PINN_tutorial.md The damped harmonic oscillator and its differential equation Solving the ‘underdamped’ case Exact solution Solving with neural network Solving the ‘critically damped’ case Solving the ‘overdamped’ case Some comments on the results When the neural network does not work Further reading Neural networks have gathered enormous attention in the last decade. Our whole human…