5 papers · 1 filter
Credible rectangles for high-dimensional posterior comparison
Alice Chevaux, Julyan Arbel, Guillaume Kon Kam King +1
We propose a Bayesian framework for uncertainty quantification and comparison in brain connectivity graph analysis. Standard graph-based approaches typically rely on point estimate…
Bayesian inference with sources of uncertainty: from confidence modelling to sparse estimation
Rafael Mouallem Rosa, Julyan Arbel, Hien Duy Nguyen
We introduce a general framework that extends Bayesian inference by allowing the researcher to explicitly encode confidence in each source of uncertainty within the model. This mec…
Prior elicitation for Bayesian estimation of single-subject connectivity networks
Yiye Jiang, Alice Chevaux, Wendy Meiring +4
Inference of brain functional connectivity networks from resting-state fMRI data is a key focus in neuroimaging. This paper introduces new Bayesian approaches for inferring a funct…
A variational framework for modal estimation
Tâm LeMinh, Julyan Arbel, Florence Forbes +1
We approach multivariate mode estimation through Gibbs distributions and introduce GERVE (Gibbs-measure Entropy-Regularised Variational Estimation), a likelihood-free framework tha…
Species Sensitivity Distribution revisited: a Bayesian nonparametric approach
Louise Alamichel, Julyan Arbel, Guillaume Kon Kam King +1
We present a novel approach to ecological risk assessment by recasting the Species Sensitivity Distribution (SSD) method within a Bayesian nonparametric (BNP) framework. Widely man…