11 citations · 14 across the 6 of their papers we have counts for
6 papers
A Hall of Statistical Mirrors
Gabriel Khan, Jun Zhang
The primary objects of study in information geometry are statistical manifolds, which are parametrized families of probability measures, induced with the Fisher-Rao metric and a pa…
Tsallis and Rényi deformations linked via a new -duality
Ting-Kam Leonard Wong, Jun Zhang
Tsallis and Rényi entropies, which are monotone transformations of each other, are deformations of the celebrated Shannon entropy. Maximization of these deformed entropies, under s…
Vector-valued Reproducing Kernel Banach Spaces with Group Lasso Norms
Liangzhi Chen, Haizhang Zhang, Jun Zhang
Focusing on establishing a mathematical basis for kernel methods in sparse multi-task learning, we explore the theory of vector-valued reproducing kernel Banach spaces (RKBSs) endo…
On Reproducing Kernel Banach Spaces: Generic Definitions and Unified Framework of Constructions
Rongrong Lin, Haizhang Zhang, Jun Zhang
Recently, there has been emerging interest in constructing reproducing kernel Banach spaces (RKBS) for applied and theoretical purposes such as machine learning, sampling reconstru…
On the Kähler Geometry of Certain Optimal Transport Problems
Gabriel Khan, Jun Zhang
Let and be domains of equipped with respective probability measures and . We consider the problem of optimal transport from to with respect t…
Vector-valued Reproducing Kernel Banach Spaces with Applications to Multi-task Learning
Haizhang Zhang, Jun Zhang
Motivated by multi-task machine learning with Banach spaces, we propose the notion of vector-valued reproducing kernel Banach spaces (RKBS). Basic properties of the spaces and the…