7 papers
Flow Matching on Symmetric Spaces
Francesco Ruscelli, Ferdinando Zanchetta, Rita Fioresi
We introduce a general framework for training flow matching models on Riemannian symmetric spaces, a large class of manifolds that includes the sphere, hyperbolic space and Grassma…
Sheaf Neural Networks and biomedical applications
Aneeqa Mehrab, Jan Willem Van Looy, Pietro Demurtas +5
The purpose of this paper is to elucidate the theory and mathematical modelling behind the sheaf neural network (SNN) algorithm and then show how SNN can effectively answer to biom…
A Multi-Label Temporal Convolutional Framework for Transcription Factor Binding Characterization
Pietro Demurtas, Ferdinando Zanchetta, Giovanni Perini +1
Transcription factors (TFs) regulate gene expression through complex and co-operative mechanisms. While many TFs act together, the logic underlying TFs binding and their interactio…
Bioinspired CNNs for border completion in occluded images
Catarina P. Coutinho, Aneeqa Merhab, Janko Petkovic +2
We exploit the mathematical modeling of the border completion problem in the visual cortex to design convolutional neural network (CNN) filters that enhance robustness to image occ…
On Gluing Data, Finite Ringed Spaces and schemes
Rita Fioresi, Angelica Simonetti, Ferdinando Zanchetta
From descent theory to higher geometry, the idea of gluing has been embedded in many elegant and powerful techniques, proving instrumental for the solution of many problems. In thi…
Sheaves on Graphs and their Differential Calculi
Rita Fioresi, Angelica Simonetti, Ferdinando Zanchetta
In this paper we explore the link between the theory of sheaves on graphs and noncommutative geometry showing that many concepts and constructions in the latter can be generalized…