4 papers
A Singularity Criterion for Countable Gaussian Mixtures Based on the Feldman-Hajek Theorem
Umberto Michelucci
We study the mutual singularity of countable Gaussian mixture models (GMMs), with particular emphasis on infinite-dimensional settings. We first establish that a countable mixture…
CLiMB: A Domain-Informed Novelty Detection Clustering Framework for Galactic Archaeology and Scientific Discovery
Lorenzo Monti, Tatiana Muraveva, Brian Sheridan +4
In data-driven scientific discovery, a challenge lies in classifying well-characterized phenomena while identifying novel anomalies. Current semi-supervised clustering algorithms d…
Probing the Milky Way Halo with RR Lyrae Stars from Gaia Data Release 3
T. Muraveva, L. Monti, D. Massari +5
The Milky Way (MW) stellar halo, containing debris from past accretion events, serves as a fossil record of hierarchical mass assembly. Due to their distinct properties, RR Lyrae s…
Hausdorff Measure and Dimension with Examples
Umberto Michelucci
This document offers a concise introduction to the mathematical theory and practical application of the Hausdorff Measure and Dimension. The primary objective is to clarify and rig…