The reduced basis method was introduced for the accurate online evaluation of solutions to
a parameter dependent family of elliptic PDEs. Abstractly, it can be viewed as determining a …

In this article, we study the approximation of a probability measure μ on Rd by its empirical
measure ˆμN interpreted as a random quantization. As error criterion we consider an …

In this paper, we propose a method for the numerical solution of linear systems of equations
in low rank tensor format. Such systems may arise from the discretisation of PDEs in high …

In this paper we propose and analyze stable variational formulations for convection diffusion
problems starting from concepts introduced by Sangalli. We derive efficient and reliable a …

We derive and analyse a scheme for the approximation of order d tensors [Formula: see text]
in the hierarchical (H-) Tucker format, a dimension-multilevel variant of the Tucker format …

Abstract As Unmanned Aerial Vehicle (UAV) is more and more frequently used in farming
and logistics, civil and military alike, researches involving UAVs also starts to boom. In the …

图像纹理特征能够反映图像的灰度分布程度, 对比度, 空间分布和图像的内在变化特性,
在确保较低计算复杂度的前提下, 有效提取深层次的图像纹理信息是其研究的难点问题 …

We review two similar concepts of hierarchical rank of tensors (which extend the matrix rank
to higher order tensors): the TT-rank and the H-rank (hierarchical or H-Tucker rank). Based …

We analyze and characterize the possibility to represent or approximate tensors that stem
from a tensorization of vectors, matrices, or tensors by low (hierarchical) rank. Our main …

Abstract As Unmanned Aerial Vehicle (UAV) is more and more frequently used in farming
and logistics, civil and military alike, researches involving UAVs also starts to boom. In the …