3 papers
math.FA2020
Khintchine inequality on normed spaces and the application to Banach-Mazur distance
Xin Luo, Dong Zhang
We establish variant Khintchine inequalities on normed spaces of Hanner type and cotype, in which the Rademacher distribution corresponding to classical Khintchine inequality is re…
math.CO2020
Spectral Theory of Laplace Operators on Oriented Hypergraphs
Raffaella Mulas, Dong Zhang
Several new spectral properties of the normalized Laplacian defined for oriented hypergraphs are shown. The eigenvalue and the case of duplicate vertices are discussed; two Cou…
math.SP2016
The -Laplacian Cheeger Cut: Theory and Algorithms
K. C. Chang, Sihong Shao, Dong Zhang
This paper presents a detailed review of both theory and algorithms for the Cheeger cut based on the graph -Laplacian. In virtue of the cell structure of the feasible set, we pr…