30 citations · 31 across the 21 of their papers we have counts for
8 papers · 1 filter
Learning-Based Reconstruction of Optical Properties in Bilayered Media from Single-distance Time-Resolved Reflectance Measurements
Caterina Amendola, Giulia Maffeis, Lorenzo Buffoni +8
The inverse problem of reconstructing optical properties, specifically absorption and scattering coefficients, in layered biological media from time-domain reflectance measurements…
Reverse engineering of mechano-kinetic parameters from stochastic force profiles in heterogeneous ensembles of molecular motors and tracks
Valentina Buonfiglio, Irene Pertici, Pasquale Bianco +2
Heterogeneity in contractile systems of molecular motors interacting with their tracks plays a key role in numerous cellular physiological and pathological processes. However, its…
Optimal Navigation on Simplicial Complexes
Diego Febbe, Duccio Fanelli, Gianluca Peri +1
The navigation time and optimal search strategies deriving from random dynamical processes on binary graphs have been extensively explored and analyzed, being of prominent interest…
Spectral Higher-Order Neural Networks Have Sharp Expressivity Bounds
Gianluca Peri, Diego Febbe, Duccio Fanelli
Neural hypergraphs are a natural generalization of neural networks, the reference models in modern machine learning. Yet, their deployment has proven demanding: the number of weigh…
Exact Fixed-Point Constraints in Neural-ODEs with Provable Universality
Feliciano Giuseppe Pacifico, Duccio Fanelli, Lorenzo Buffoni +3
We introduce a technique that enables Neural-ODEs to approximate arbitrary velocity fields with a priori planted fixed-points. Specifically, a recipe is given to explicitly accommo…
Model of Simplicial Complexes with dimension-wise preferential attachment
Diego Febbe, Duccio Fanelli, Timoteo Carletti
Network science is a powerful framework allowing to model complex systems, it is capable to describe and take into account the intricate web of connections existing among the const…
Spectral Higher-Order Neural Networks
Gianluca Peri, Timoteo Carletti, Duccio Fanelli +1
Neural networks are fundamental tools of modern machine learning. The standard paradigm assumes binary interactions (across feedforward linear passes) between inter-tangled units,…
Smart Walkers in Discrete Space
Gianluca Peri, Lorenzo Buffoni, Giacomo Chiti +4
We study the statistical properties of trainable agents moving in discrete space. After introducing the mathematical framework, we first analyze the dynamics of two completely rand…