Jean Carlo Guella

• Abstract

  In this research project, we aim to develop, apply and improve techniques from approximation theory to problems in statistics and probability, with an emphasis on positive definite kernels. Among the problems we aim to analyze is metrics in probability, independence tests, and conditional independence tests. We also want to develop techniques to analyze the relations between point process…

  Positive definite kernels applied to probability and statistics: MMD, HSIC and point process, AP.JP

• Abstract

  This project aims to study recent results in the literature about the connection between positive definite kernels and concepts from probability, such as metrics in this space, independence and conditional independence.For this purpose, it is used the reproducing kernel Hilbert space of a positive definite kernel in order to obtain a semi-inner product on the space of measures with bound…

  Applications of positive definite kernels in probability, BP.MS
• Positive definite kernels applied to probability and statistics: MMD, HSIC and point process, BP.JP

• Abstract

  This project is intended to address the analysis of some recent results on positive definite and bizonal kernels on the usual m-dimensional unit sphere. The analysis seeks a possible application in the characterization of those positive definite and bizonal kernels which are strictly positive definite of some fixed order. Actually, as some characterizations are already available, the mai…

  Strictly positive definite kernels on the sphere: an analysis of the recent results., BP.MS

(Only some records are available in English at this moment)