stochastic processes

2 posts

What does a quantum Bayes’s rule look like?

7 min read
Analysis Scicomm Science Bayes's rule Bayesian network Bayesianism Choi operators commutativity completely positive trace-preserving map noise correction Physical Review Letters principle of minimum change probability quantum computing quantum information theory stochastic processes unitarity variational Bayesian inference

Bayes's rule is one of the most fundamental principles in probability and statistics. It allows us to update our beliefs in the face of new evidence. In its simplest form, the rule tells us how to…

A not-so-random walk through random walks

8 min read
Scicomm animal foraging Brownian bridge Brownian motion cellular automata Conway's Game of Life fractals gamma distribution Gaussian distribution heavy tail John Conway Langton's ant Lévy flight probability distribution function random walk random walk hypothesis resistor networks Sierpienski triangle statistical properties stochastic processes Wiener process

Though I’ve been interested of late with the idea of random walks, I was introduced to the concept when, more than two decades ago, I stumbled across Conway’s Game of Life, the cellular automaton buil…