12 papers
Noncommutative vector field calculi
Rita Fioresi, Emanuele Latini, Thomas Weber
We discuss noncommutative differential geometry from a vector field centric point of view. This is based on the notion of first order vector field calculus (FOVC), which has been p…
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…
Basic quasi-reductive root data and supergroups
Rita Fioresi, Bin Shu
We investigate pairs , where is a reductive algebraic group and a purely-odd -superscheme, asking when a pair corresponds to a quasi-reductive algebraic supergrou…
Sinkhorn doubly stochastic attention rank decay analysis
Michela Lapenna, Rita Fioresi, Bahman Gharesifard
The self-attention mechanism is central to the success of Transformer architectures. However, standard row-stochastic attention has been shown to suffer from significant signal deg…
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…