18 citations · 46 across the 10 of their papers we have counts for
3 papers · 1 filter
Persistent Homology and Equivariance in Data Analysis: A Topological Introduction
Patrizio Frosini, Ulderico Fugacci, Nicola Quercioli +1
This new book is intended as a first elementary introduction to Topological Data Analysis for mathematics students seeking a rigorous account of the foundations of persistent homol…
LARAG: Link-Aware Retrieval Strategy for RAG Systems in Hyperlinked Technical Documentation
Giorgia Bolognesi, Claudio Estatico, Ulderico Fugacci +3
Retrieval-Augmented Generation (RAG) enhances the factual grounding of Large Language Models by conditioning their outputs on external documents. However, standard embedding-based…
Hook-decomposable modules and their resolutions
Isabella Mastroianni, Marco Guerra, Ulderico Fugacci +1
We compare several classes of biparameter persistence modules: -products of monoparameter modules, hook-decomposable modules, modules admitting a Smith-type structure theorem, a…