Consider the number of steps needed by algorithms to locate the minimum of functions defined on the d-cube, where the functions are known to have no local minima except the global minimum. Regard this ...

The Annals of Statistics, Vol. 40, No. 6 (December 2012), pp. 3050-3076 (27 pages) A random-walk Metropolis sampler is geometrically ergodic if its equilibrium density is super-exponentially light and ...

Quantum walks, the quantum analogue of classical random walks, have emerged as a pivotal framework in the study of quantum dynamics and information processing. These systems exploit inherently quantum ...

Tim Smith has 20+ years of experience in the financial services industry, both as a writer and as a trader. Gordon Scott has been an active investor and technical analyst or 20+ years. He is a ...

Single atoms have been spotted doing the quantum version of the random walk by physicists in Germany. This sighting of a “quantum walk” could help in the design of quantum search algorithms, or in the ...