Contractivity of neural ODEs: an eigenvalue optimization problem

Nicola Guglielmi, Arturo De Marinis, Anton Savostianov, Francesco Tudisco
preprint, (2024)
arxiv

A nonlinear spectral core-periphery detection method for multiplex networks

Kai Bergermann, Martin Stoll, Francesco Tudisco
preprint, (2024)
arxiv code

Nonlinear Perron-Frobenius theorems for nonnegative tensors

Antoine Gautier, Francesco Tudisco, Matthias Hein
SIAM Review (SIGEST paper), 65 : 495--536 (2023)
doi

Core-periphery detection in hypergraphs

Francesco Tudisco, Desmond J. Higham
SIAM Journal on Mathematics of Data Science, 5 (2023)
doi arxiv code

The Global Convergence of the Nonlinear Power Method for Mixed-Subordinate Matrix Norms

Antoine Gautier, Matthias Hein, Francesco Tudisco
Journal of Scientific Computing, 88 : 21 (2021)
doi-open arxiv

A fast and robust kernel optimization method for core–periphery detection in directed and weighted graphs

Francesco Tudisco, Desmond J. Higham
Applied Network Science, 4 : 1--13 (2019)
doi code

A nonlinear spectral method for core-periphery detection in networks

Francesco Tudisco, Desmond J. Higham
SIAM J. Mathematics of Data Science, 1 : 269--292 (2019)
doi arxiv code

The contractivity of cone-preserving multilinear mappings

Antoine Gautier, Francesco Tudisco
Nonlinearity (IOP and London Mathematical Society), 32 : 4713 (2019)
doi arxiv

A unifying Perron-Frobenius theorem for nonnegative tensors via multihomogeneous maps

Antoine Gautier, Francesco Tudisco, Matthias Hein
SIAM J. Matrix Analysis Appl., 40 : 1206--1231 (2019)
doi arxiv

Community detection in networks via nonlinear modularity eigenvectors

Francesco Tudisco, Pedro Mercado, Matthias Hein
SIAM J. Applied Mathematics, 78 : 2393--2419 (2018)
doi arxiv

A nodal domain theorem and a higher-order Cheeger inequality for the graph p-Laplacian

Francesco Tudisco, Matthias Hein
EMS Journal of Spectral Theory, 8 : 883--908 (2018)
doi arxiv

The Perron-Frobenius theorem for multihomogeneous mappings

Antoine Gautier, Francesco Tudisco, Matthias Hein
SIAM J. Matrix Analysis Appl., 40 : 1179--1205 (2019)
doi arxiv