5 papers
On the geometry of weak convergence without total variation convergence
Nicola Bariletto, Stephen G. Walker
We study some geometric consequences of the discrepancy between weak and total variation convergence of probability measures. We consider a sequence of probability measures on $\ma…
Scalable Posterior Uncertainty for Flexible Density-Based Clustering
Nicola Bariletto, Stephen G. Walker
We introduce a novel framework for uncertainty quantification in clustering that combines martingale posterior distributions with density-based clustering. Unlike classical model-b…
AWDiff: An a trous wavelet diffusion model for lung ultrasound image synthesis
Maryam Heidari, Nantheera Anantrasirichai, Steven Walker +2
Lung ultrasound (LUS) is a safe and portable imaging modality, but the scarcity of data limits the development of machine learning methods for image interpretation and disease moni…
On A Necessary Condition For Posterior Inconsistency: New Insights From A Classic Counterexample
Nicola Bariletto, Stephen G. Walker
The consistency of posterior distributions in density estimation is at the core of Bayesian statistical theory. Classical work established sufficient conditions, typically combinin…
Posterior Consistency in Parametric Models via a Tighter Notion of Identifiability
Nicola Bariletto, Bernardo Flores, Stephen G. Walker
We study Bayesian posterior consistency in parametric density models with proper priors, challenging the perception that the problem is settled. Classical results established consi…