It is well known that the convergence rate of the expectation-maximization (EM) algorithm can be faster than those of convention first-order iterative algorithms when the overlap in the given mixture is small. But this argument has not been mathematically proved yet. This article studies this problem asymptotically in the setting of gaussian mixtures under the theoretical framework of Xu and Jo...

In this study, the second harmonic generation (SHG) response to polarization and subsequent data analysis is used to discriminate, in the same image, different SHG source architectures with pixel resolution. This is demonstrated in a mammalian tissue containing both skeletal muscle and fibrilar collagen. The SHG intensity variation with the input polarization (PSHG) is fitted pixel by pixel in ...

We report experimental measurements of particle dynamics on slowly sheared granular matter in a three-dimensional Couette cell. A closely packed ensemble of transparent spherical beads is confined by an external pressure and filled with fluid to match both the density and refractive index of the beads. This allows us to track tracer particles embedded in the system and obtain three-dimensional ...

The objects of study of mathematics are often sets with some additional information. E. g. for a group the additional information is the binary operation, for a topological space the family of open sets, for a graph the set of its edges. Equivalences and mutual relations between objects are studied by means of a special class of mappings which is chosen according to the pourpose of the study. T...

Although the authors do not emphasize the point, there appears to be more theta from the temporal lobe electrodes than from the others. Because surface electrodes were used, the present study could not identify the generator for this activity, much less localize it to the hippocampal formation. Furthermore the authors did not comment on the relationship between theta activity in different areas...