Art of the Problem on MSN

From Plato to Markov chains, how probability revealed hidden patterns in random events

From Plato’s search for hidden forms to Bernoulli’s law of large numbers and Markov’s breakthrough on dependent events, this story traces how mathematicians discovered the patterns hidden inside ...
Scientific American

This mathematician proved a brilliant theorem to justify his social awkwardness

More than 100 years ago Hungarian-born mathematician George Pólya found himself trapped in a loop of social awkwardness. A professor at the Swiss Federal Institute of Technology Zurich, he enjoyed ...
IEEE

The Cost of Randomness in Evolutionary Algorithms: Crossover Can Save Random Bits

Abstract: Evolutionary algorithms make countless random decisions during selection, mutation, and crossover operations. These random decisions require a steady stream of random numbers. We analyze the ...
IEEE

Hyperspectral Image Classification Using Spectral-Spatial Dual Random Fields With Gaussian and Markov Processes

Abstract: This article presents a novel hyperspectral image (HSI) classification approach that integrates the sparse inducing variational Gaussian process (SIVGP) with a spatially adaptive Markov ...