Author

Nicola Bariletto

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Preprint Aug 2026

Partial Differential Equation Barriers to Identifiability in Infinite Mixture Models

We study identifiability of mixing measures in infinite mixture models. We show that, in many common cases, lack of identifiability can be characterized in terms of certain differential structures of the kernel family with respect to its parameters. In our main results, we prove that when the kernel is annihilated by a...

Dung Le, Nicola Bariletto, Alessandro Rinaldo et al. · 1 citation

Preprint Aug 2026

On the geometry of weak convergence without total variation convergence

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 $\mathbb R^d$, admitting densities with respect to the Lebesgue measure, that converge weakly to a limiting measure but stay bounded away from i...

Nicola Bariletto, Stephen G. Walker · 0 citations