In a companion paper we described what intuitively would seem to be the most general possible way to generate Coarsening at Random mechanisms, a sequential procedure called randomized monotone coarsening. Counter-examples showed that CAR mechanisms exist which cannot be represented in this way. Here, we further develop these results in two directions. Firstly, we consider what happens when data...

The notion of coarsening at random (CAR) was introduced by Heitjan and Rubin (1991) to describe the most general form of randomly grouped, censored, or missing data, for which the coarsening mechanism can be ignored when making likelihood-based inference about the parameters of the distribution of the variable of interest. The CAR assumption is popular, and applications abound. However the full...

Numerical coarsening methods offer an attractive methodology for fast simulation of objects with high-resolution heterogeneity. However, they rely heavily on preprocessing, and are not suitable when undergo dynamic material or topology updates. We present that largely accelerate the two main processes numerical coarsening, namely training data generation optimization shape functions, as a resul...

Abstract Fluid flow over an initially flat granular bed leads to the formation of a surface‐wave instability. The sediment profile coarsens and increases in amplitude wavelength as disturbances develop from ripples into dunes. We perform experiments numerical simulations quantify both temporal evolution properties relationship between initial growth rate friction velocity u ∗ . Experimentally, ...

Classical theory of nucleation based on Becker-Doering equations and coarsening for a binary alloy.

Coarsening of Ag films on Ag(100) at room temperature occurs primarily via diffusion-mediated coalescence of two-dimensional adatom clusters, rather than by Ostwald ripening, up to a coverage of 0.65 monolayer. Above 0.8 monolayer, vacancy clusters coarsen primarily via Ostwald ripening, due to their much lower diffusivity. An asymmetric transition region separates these two regimes, characteri...