41 citations · 118 across the 8 of their papers we have counts for
8 papers
Anisotropic Gaussian approximation in
Wolfgang Erb, Thomas Hangelbroek, Amos Ron
Let be the dictionary of Gaussian mixtures: the functions created by affine change of variables of a single Gaussian in dimensions. is used pervasiv…
Complete graphs: the space of simplicial cones, and their path tree representation
Amos Ron, Shengnan Sarah Wang
Let be a complete graph with vertices. In a recent paper of the authors, it is shown that the path trees of the graph play a special role in the structure of the truncate…
External zonotopal algebra
Nan Li, Amos Ron
We provide a general, unified, framework for external zonotopal algebra. The approach is critically based on employing simultaneously the two dual algebraic constructs and invokes…
Nonlinear Approximation Using Gaussian Kernels
Thomas Hangelbroek, Amos Ron
It is well-known that non-linear approximation has an advantage over linear schemes in the sense that it provides comparable approximation rates to those of the linear schemes, but…
Hierarchical zonotopal spaces
Olga Holtz, Amos Ron, Zhiqiang Xu
Zonotopal algebra interweaves algebraic, geometric and combinatorial properties of a given linear map X. Of basic significance in this theory is the fact that the algebraic structu…
Approximation using scattered shifts of a multivariate function
Ronald DeVore, Amos Ron
The approximation of a general -variate function by the shifts , $ξ\inΞ\subset \Rd$, of a fixed function occurs in many applications such as data fitting, ne…