Alessio Benavoli

Bayesian Dependence Tests for Continuous, Binary and Mixed Continuous-Binary Variables

2016 · Entropy

Tests for dependence of continuous, discrete and mixed continuous-discrete variables are ubiquitous in science. The goal of this paper is to derive Bayesian alternatives to frequentist null hypothesis significance tests for dependence. In particular, we …

A Unified Framework for Closed-Form Nonparametric Regression, Classification, Preference and Mixed Problems with Skew Gaussian Processes

2021 · Machine Learning

Abstract Skew-Gaussian Processes (SkewGPs) extend the multivariate Unified Skew-Normal distributions over finite dimensional vectors to distribution over functions. SkewGPs are more general and flexible than Gaussian processes, as SkewGPs may also represent asymmetric distributions. In …

Bayesian Independence Test with Mixed-type Variables

2021

A fundamental task in AI is to assess (in)dependence between mixed-type variables (text, image, sound). We propose a Bayesian kernelised correlation test of (in)dependence using a Dirichlet process model. The new measure of (in)dependence allows …