to a con-ditional probability density function (PDF) in each element and subsequently implement generalized Polynomial Chaos (gPC) locally. Numerical examples show that ME-gPC exhibits both p- and h-convergence for arbitrary probabil-ity measures. KEY WORDS: Uncertainty; polynomial chaos; stochastic

of this scene model to improve object detection through pixel-level parameter feedback of the minimum object size and background learning rate. Most object path modelling approaches first cluster the tracks into major paths in the scene, which can be a source of error. We avoid this by building local pdfs

Abstract The local atomic structure of nanoporous carbons produced by pyrolysis of poly(furfuryl alcohol) at various temperatures has been studied using neutron di raction. Atomic pair distribution functions (PDFs) were obtained from the neutron data. Structure models have been ® tted to the PDFs

this paper we propose a new LDB algorithm based on the differences among coordinate-wise pdfs as a basis selection criterion and we explain similarities and differences among the original LDB algorithm and the new LDB algorithm. 2. STEPS TOWARD THE ORIGINAL LDB

and mapping

to multiscale video segments, and edges capture their hierarchical, temporal, and spatial relationships. Access to video segments is provided by our new, multiscale segmenter. Given a set of training spatiotemporal graphs, we learn their archetype graph, and pdf’s associated with model nodes and edges

generalizations of local nonlinear dimensionality reduction algorithms from Euclidean to Riemannian spaces. Then, by assuming that the pdfs from different groups are separated, we show that the null space of a matrix built from the local representation gives the segmentation of the pdfs. We also apply of our

functions (pdfs) [2]. In plasma turbulence and in particular in the Scrape-Off Layer of fusion plasma, the existence of an universal probability density function that can

Abstract—This paper presents new envelope probability density functions (pdfs) that describe small-scale, local area fading experi-enced by narrow-band wireless receivers. The paper also develops novel pdfs that describe the local area fading of two specular mul-tipath components in the presence

. Under the local approximation that the evolution of cosmic fluid fields can be characterized by the Lagrangian local dynamics with finite degrees of freedom, evolution equation for PDFs becomes a closed form and consistent formal solutions are constructed. Adopting this local approximation, we