Nonlinear Perron-Frobenius theorems for nonnegative tensors

Antoine Gautier, Francesco Tudisco, Matthias Hein
SIAM Review (SIGEST paper), 65 : 495--536 (2023)
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Node and Edge Eigenvector Centrality for Hypergraphs

Francesco Tudisco, Desmond J. Higham
Communications Physics, 4:201 (2021)
doi-open arxiv code

Nonlinear Higher-Order Label Spreading

Francesco Tudisco, Austin R. Benson, Konstantin Prokopchik
In: Proceedings of The Web Conference, : 2402--2413 (2021)
doi arxiv code

Ergodicity coefficients for higher-order stochastic processes

Dario Fasino, Francesco Tudisco
SIAM J Mathematics of Data Science, 2 : 740--769 (2020)
doi arxiv

A framework for second order eigenvector centralities and clustering coefficients

Francesca Arrigo, Desmond J. Higham, Francesco Tudisco
Proceedings Royal Society A, 476 : 20190724 (2020)
arxiv doi-open code

Shifted and extrapolated power methods for tensor $\ell^p$-eigenpairs

Stefano Cipolla, Michela Redivo-Zaglia, Francesco Tudisco
ETNA: Electronic Transactions on Numerical Analysis, 53 : 1--27 (2020)
doi arxiv

Extrapolation methods for fixed-point multilinear PageRank computations

Stefano Cipolla, Michela Redivo-Zaglia, Francesco Tudisco
Numerical Linear Algebra with Applications, 27 : e2280 (2020)
doi arxiv

Multi-Dimensional, Multilayer, Nonlinear and Dynamic HITS

Francesca Arrigo, Francesco Tudisco
In: SIAM International Conference on Data Mining, : 369--377 (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

Node and layer eigenvector centralities for multiplex networks

Francesco Tudisco, Francesca Arrigo, Antoine Gautier
SIAM J. Applied Mathematics, 78 : 853--876 (2018)
doi arxiv code

An Efficient Multilinear Optimization Framework for Hypergraph Matching

Quynh Nguyen, Francesco Tudisco, Antoine Gautier, Matthias Hein
IEEE Transactions on Pattern Analysis and Machine Intelligence, 39 : 1054--1075 (2017)
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