We will embark on a historical exploration of the perceptron, a foundational model in the field of artificial intelligence that has given rise to the deep learning technologies transforming our world. The perceptron, introduced by Frank Rosenblatt in 1958, is the conceptual forerunner of contemporary machine learning architectures such as CNNs, DNNs, and the Transformer models driving the current AI boom. As we trace the evolution from original model to the sophisticated algorithms of today, we will examine the pivotal developments, both technical and theoretical, that have contributed to the advancement of AI....

This note was taken for a presentation I had to give for my Bayesian Stat class. Introduction Causal inference can be used to tries to answer questions of this sort: “What would happen if…?” Does smoking cause lung cancer? What would be the effect of increasing the minimum wage on employment rates? Does access to education have a causal impact on income levels? It allows us to establish causal effects rather than just mere statistical association....

Practical Assignment 1: Simulation of Gas Dynamics This practical assignment focuses on the study of gas dynamics in a system of particles in motion within a box. The system models particles in a box in the plane that repel each other and collide with the walls. A repulsive potential is employed, which varies based on the distance between the particles and an interaction constant. The calculation of forces between particles is described, and the manner in which they act in accordance with the proposed potential is established....