We characterize the conditions under which completing a Delaunay tessellation produces a connguration that is a nondegenerate Delaunay triangulation of an arbitrarily small perturbation of the original sites. One consequence of this result is a simple postpro-cessing step for resolving degeneracies in Delaunay triangulations that does not require symbolic perturbation of the data. We also give ...

The authors present a higher-order Godunov method for the solution of the twoand three-dimensional equations of ideal magnetohydrodynamics (MHD). This work is based both on a suitable operator-split approximation to the full multidimensional equations, and on a one-dimensional Riemann solver. TIlls Riemann solver is sufficiently robust to handle the nonstrictly hyperbolic nature of the MHD equa...

I review recent constraints on and claimed detections of a time-varying fine-structure constant α. Our results are consistent with no variation in α from the epoch of recombination to the present day, and restrict any such variation to be less than about 4%. The forthcoming MAP and Planck experiments will be able to break most of the currently existing degeneracies between α and other cosmologi...

In this paper, we suggest multiple kernel learning with hierarchical feature representations. Recently, deep learning represents excellent performance to extract hierarchical feature representations in unsupervised manner. However, since fine-tuning step of deep learning only considers global level of features for classification problems, it makes each layers hierarchical features intractable. ...

The construction of classical hierarchical B–splines can be suitably modified in order to define locally supported basis functions that form a partition of unity. We will show that this property can be obtained by reducing the support of basis functions defined on coarse grids, according to finer levels in the hierarchy of splines. This truncation not only decreases the overlapping of supports ...

Hierarchical mixture models arise naturally for clustering a heterogeneous population of objects where observations made on each object follow a standard mixture density. Hierarchical mixtures utilize complementary aspects of mixtures at different levels of the hierarchy. At the first (top) level, the mixture is used to perform clustering of the objects, while at the second level, nested mixtur...

We present the concept of hierarchical instantiation for radiosity. This new method enables an efficient, yet accurate determination of the illumination in very large scenes, where similar objects are replaced by instances of the same element. Instances are equipped with suitable radiative properties and are used to replace large amounts of geometry at multiple levels of the scene hierarchy. In...

Load-bearing biological materials such as shell, mineralized tendon and bone exhibit two to seven levels of structural hierarchy based on constituent materials (biominerals and proteins) of relatively poor mechanical properties. A key question that remains unanswered is what determines the number of hierarchical levels in these materials. Here we develop a quasi-self-similar hierarchical model ...

An evolutionary prisoner's dilemma (PD) game is studied with players located on a hierarchical structure of layered square lattices. The players can follow two strategies [ D (defector) and C (cooperator)] and their income comes from PD games with the "neighbors." The adoption of one of the neighboring strategies is allowed with a probability dependent on the payoff difference. Monte Carlo simu...