Markov Chains : The Strange Math That Predicts Almost Anything

Discover how Markov chains predict real systems, from Ulam and von Neumann’s Monte Carlo to PageRank, so you can grasp ...
Hackaday

There’s No AI In A Markov Chain, But They’re Fun To Play With

Amid all the hype about AI it sometimes seems as though the world has lost sight of the fact that software such as ChatGPT contains no intelligence. Instead it’s an extremely sophisticated system for ...
PBS

Can a Chess Piece Explain Markov Chains?

In this episode probability mathematics and chess collide. In this episode probability mathematics and chess collide. What is the average number of steps it would take before a randomly moving knight ...

How Clear Probabilistic Models Can Strengthen Intelligent Systems in an Uncertain World

Software engineer Sai Bhargav Yalamanchi notes that mathematical tools helping practitioners interpret uncertainty have ...
JSTOR Daily

Several Types of Ergodicity for M/G/1-type Markov Chains and Markov Processes

In this paper we study polynomial and geometric (exponential) ergodicity for M/G/1-type Markov chains and Markov processes. First, practical criteria for M/G/1-type Markov chains are obtained by ...
JSTOR Daily

Measure-Valued Differentiation for Stationary Markov Chains

We study general state-space Markov chains that depend on a parameter, say, θ. Sufficient conditions are established for the stationary performance of such a Markov chain to be differentiable with ...