Probability underlies much of the modern world – an engineering professor explains how it actually works

Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, “Probability is the ...
IEEE

A Hash Table Without Hash Functions, and How to Get the Most Out of Your Random Bits

Abstract: This paper considers the basic question of how strong of a probabilistic guarantee can a hash table, storing $n(1+\Theta(1))\log n$-bit key/value pairs ...
IEEE

The Ratios of Functions of Random Variables

Abstract: Given the joint probability density function (pdf), pX(xl, ..., xN), of the random variables x1, xN, a new method is developed for determining the pdf of the ratio f(X)lg(X) where f and g ...