Can an ensemble give anything more than Gaussian probabilities?

Can an ensemble give anything more than Gaussian probabilities?

Can a relatively small numerical weather prediction ensemble produce any more forecast information than can be reproduced by a Gaussian probability density function (PDF)? This question is examined using site-specific probability forecasts from the UK Met Office. These forecasts are based on the 51-member Ensemble Prediction System of the European Centre for Medium-range Weather Forecasts. Veri...

An isotropic Gaussian mixture can have more modes than components

Carreira-Perpinan and Williams (2003) conjectured that a homoscedastic Gaussian mixture of M components in d 1 dimensions has at most M modes. Prof. J. J. Duistermaat (personal communication, 2003) provided the counterexample of a 3–component mixture in d = 2 where the Gaussians are located at the vertices of an equilateral triangle; for a certain range of variances modes are present near to th...

More blessed to give than to receive?

Here burdened toilers fainting with the heat Loiter a moment for refreshment sweet, The lone wayfarer, friendly comrade knows From cheery word flung to him as he goes: Sweet sympathy doth comfort the distressed, Encouragement help onward the oppressed, And I, myself, am blessed quite, as they, Because I give this rest beside the way. Î * I * Ï * I 4* Ï * Ï 4* i 4* Î + Î 4* I 4* i 4* i * Ï * Ï 4...

After more than a decade, has pet guardianship changed anything?

Stem cell potential: Can anything make anything?

Recent results suggest that stem cells from one tissue can give rise to cells from developmentally unrelated tissues. These results strongly support the idea that certain progenitors retain much broader developmental potentials than expected, and other progenitors may be able to acquire broader potentials in culture.