Nonintrusive polynomial chaos expansion (PCE) and stochastic collocation (SC) methods are attractive techniques for uncertainty quantification due to their fast convergence properties and ability to produce functional representations of stochastic variability. PCE estimates coefficients for known orthogonal polynomial basis functions based on a set of response function evaluations, using sampli...

We present a novel analysis of the dynamics of tensor power iterations in the overcomplete regime where the tensor CP rank is larger than the input dimension. Finding the CP decomposition of an overcomplete tensor is NP-hard in general. We consider the case where the tensor components are randomly drawn, and show that the simple power iteration recovers the components with bounded error under m...

The zero field 14N-hfs-multiplets and the high-field Zeeman-hfs-multiplets of low-J rotational transitions of the title compounds were observed in a flash pyrolysis setup under high-resolution conditions. From the zero-field hfs patterns the 14N spin-rotation coupling constants and the 14N nuclear quadrupole coupling constants were obtained. From the high-field Zeeman-hfs-multiplets, the diagon...

The structure tensor, also known as second moment matrix or Förstner interest operator, is a very popular tool in image processing. Its purpose is the estimation of orientation and the local analysis of structure in general. It is based on the integration of data from a local neighborhood. Normally, this neighborhood is defined by a Gaussian window function and the structure tensor is computed ...

INTRODUCTION : Mapping white matter fiber pathways in central nervous system (CNS) is important for the understanding of neural transmission and brain organization in general. In this study, we propose a non-diffusion based method for tracking a magnetic network existing in brain white matter. The proposed method utilizes a previously unexplored magnetic property of white matter fibers. We foun...

Machine-learning potentials for materials, namely the moment tensor (MTPs), were validated using experimental EXAFS spectra first time. The MTPs four metals (bcc W and Mo, fcc Cu Ni) obtained by active learning algorithm of fitting to results calculations density functional theory (DFT). MTP accuracy was assessed comparing metal K-edge experimentally computed from molecular dynamics (MD) simula...