4 papers
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…
Topological Correlation
Isabella Mastroianni, Ulderico Fugacci
We introduce two novel concepts, topological difference and topological correlation, that offer a new perspective on the discriminative power of multiparameter persistence. The for…
Retrieving biparameter persistence modules from monoparameter ones: a characterization of hook-decomposable persistence modules
Isabella Mastroianni, Marco Guerra, Ulderico Fugacci +1
Motivated by the need to relate the biparameter persistence module induced by a pair of scalar functions with the monoparameter persistence modules induced by each function separat…