A technique that provides approximate solutions to problems expressed mathematically. Using random numbers and trial and error, it repeatedly calculates the equations to arrive at a solution. Many of ...

A recent update to the solitaire app on my phone installed only winning deals. That is, every game can be won, although it may not be completely obvious how to do so. If you make a wrong move at some ...

With highly specialized instruments, we can see materials on the nanoscale – but we can’t see what many of them do. That limits researchers’ ability to develop new therapeutics and new technologies ...

Inference for a complex system with a rough energy landscape is a central topic in Monte Carlo computation. Motivated by the successes of the Wang—Landau algorithm in discrete systems, we generalize ...

There are two flavors of QMC, (a) variational Monte Carlo (VMC) and (b) projector Monte Carlo (PMC). VMC starts by proposing a functional form for the wavefunction and then optimizes the parameters of ...

The Annals of Statistics, Vol. 39, No. 2 (April 2011), pp. 673-701 (29 pages) The random numbers driving Markov chain Monte Carlo (MCMC) simulation are usually modeled as independent U (0, 1) random ...

Humanity pretty much has Pi figured out at this point. We’ve calculated it many times over and are confident about what it is down to many, many decimal places. However, if you fancy estimating it ...