We show that, largely speaking, exponential families are extreme point models in the sense of Lauritzen (1974, 1982, 1984), except that in some cases degenerate measures shall be added. The results ...

Fixed point theory is a cornerstone of mathematical analysis that investigates conditions under which maps on metric spaces yield invariant points. Traditionally exemplified by the Banach contraction ...

This is a preview. Log in through your library . Abstract We present a novel simple formulation of the problem of 3D object reconstruction from images. In this formulation, the object is seen as lying ...

Nondeterminism in LLMs refers to the unpredictability or variability of outputs even when the same input is provided. This is ...