Francesco Tudisco

The graph $\infty$-Laplacian eigenvalue problem

Piero Deidda, Martin Burger, Mario Putti, Francesco Tudisco
arxiv

GeoLoRA: Geometric integration for parameter efficient fine-tuning

Steffen Schotthöfer, Emanuele Zangrando, Gianluca Ceruti, Francesco Tudisco, Jonas Kusch
arxiv

Low-Rank Adversarial PGD Attack

Dayana Savostianova, Emanuele Zangrando, Francesco Tudisco
arxiv

Testing Quantum and Simulated Annealers on the Drone Delivery Packing Problem

Sara Tarquini, Daniele Dragoni, Matteo Vandelli, Francesco Tudisco
arxiv

Neural rank collapse: Weight decay and small within-class variability yield low-rank bias

Emanuele Zangrando, Piero Deidda, Simone Brugiapaglia, Nicola Guglielmi, Francesco Tudisco
arxiv

A nonlinear model of opinion dynamics on networks with friction-inspired stubbornness

David N. Reynolds, Francesco Tudisco
arxiv

Nonlinear Spectral Duality

Francesco Tudisco, Dong Zhang
arxiv

The self-consistent field iteration for p-spectral clustering

Parikshit Upadhyaya, Elias Jarlebring, Francesco Tudisco
arxiv

What we should learn from pandemic publishing

Satyaki Sikdar, Sara Venturini, Marie-Laure Charpignon, Sagar Kumar, Francesco Rinaldi, Francesco Tudisco, Santo Fortunato, Maimuna S. Majumder
Nature Human Behaviour, Vol 8, pp 1631-1634, 2024
doi slides

Geometry-aware training of factorized layers in tensor Tucker format

Emanuele Zangrando, Steffen Schotthöfer, Jonas Kusch, Gianluca Ceruti, Francesco Tudisco
Advances in Neural Information Processing Systems (NeurIPS), 2024
arxiv

Subhomogeneous Deep Equilibrium Models

Pietro Sittoni, Francesco Tudisco
In: International Conference on Machine Learning (ICML), 2024
arxiv doi code

Mixture of Neural Operators: Incorporating Historical Information for Longer Rollouts

Harris Abdul Majid, Francesco Tudisco
In: International Conference on Learning Representations (ICLR) Workshop on AI4DifferentialEquations In Science, 2024
doi

Solaris: A Foundation Model for the Sun

Harris Abdul Majid, Pietro Sittoni, Francesco Tudisco
In: Advances in Neural Information Processing Systems (NeurIPS) Workshop on Foundation Models for Science, 2024

Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex

Anton Savostianov, Francesco Tudisco, Nicola Guglielmi
SIAM Journal on Matrix Analysis and Applications, 2024
arxiv doi code

Collaboration and topic switches in science

Sara Venturini, Satyaki Sikdar, Francesco Rinaldi, Francesco Tudisco, Santo Fortunato
Scientific Reports, Vol 14, pp 1258, 2024
doi arxiv code

A nonlinear spectral core-periphery detection method for multiplex networks

Kai Bergermann, Martin Stoll, Francesco Tudisco
Proceedings Royal Society A, 2024
doi arxiv code

Learning the effective order of a hypergraph dynamical system

Leonie Neuhäuser, Michael Scholkemper, Francesco Tudisco, Michael T. Schaub
Science Advances, 2024
arxiv doi code

Optimizing network robustness via Krylov subspaces

Stefano Massei, Francesco Tudisco
ESAIM: Mathematical Modelling and Numerical Analysis, 2024
doi arxiv code

Contractivity of neural ODEs: an eigenvalue optimization problem

Nicola Guglielmi, Arturo De Marinis, Anton Savostianov, Francesco Tudisco
Mathematics of Computation (In press), 2024
arxiv

Robust low-rank training via approximate orthonormal constraints

Dayana Savostianova, Emanuele Zangrando, Gianluca Ceruti, Francesco Tudisco
Advances in Neural Information Processing Systems (NeurIPS), 2023
arxiv doi code

Nonlinear Perron-Frobenius theorems for nonnegative tensors

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

Laplacian-based Semi-Supervised Learning in Multilayer Hypergraphs by Coordinate Descent

Sara Venturini, Andrea Cristofari, Francesco Rinaldi, Francesco Tudisco
EURO Journal on Computational Optimization, 2023
arxiv doi code

Quantifying the structural stability of simplicial homology

Nicola Guglielmi, Anton Savostianov, Francesco Tudisco
Journal of Scientific Computing, Vol 97, 2023
arxiv doi code

Learning the right layers: a data-driven layer-aggregation strategy for semi-supervised learning on multilayer graphs

Sara Venturini, Andrea Cristofari, Francesco Rinaldi, Francesco Tudisco
In: International Conference on Machine Learning (ICML), 2023
arxiv doi code

Core-periphery detection in hypergraphs

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

Nodal domain count for the generalized graph $p$-Laplacian

Piero Deidda, Mario Putti, Francesco Tudisco
Applied and Computational Harmonic Analysis, Vol 64, pp 1--32, 2023
arxiv doi

Low-rank lottery tickets: finding efficient low-rank neural networks via matrix differential equations

Steffen Schotthöfer, Emanuele Zangrando, Jonas Kusch, Gianluca Ceruti, Francesco Tudisco
Advances in Neural Information Processing Systems (NeurIPS), 2022
arxiv doi code

A Variance-aware Multiobjective Louvain-like Method for Community Detection in Multiplex Networks

Sara Venturini, Andrea Cristofari, Francesco Rinaldi, Francesco Tudisco
Journal of Complex Networks, 2022
arxiv doi code

Core-periphery partitioning and quantum annealing

Catherine F. Higham, Desmond J. Higham, Francesco Tudisco
In: ACM SIGKDD Conference on Knowledge Discovery and Data Mining (KDD), 2022
arxiv doi

Hitting times for second-order random walks

Dario Fasino, Arianna Tonetto, Francesco Tudisco
European Journal of Applied Mathematics, Vol 34, pp 642--666, 2022
arxiv doi

Nonlinear Feature Diffusion on Hypergraphs

Konstantin Prokopchik, Austin R. Benson, Francesco Tudisco
In: International Conference of Machine Learning (ICML), 2022
arxiv doi code

Node and Edge Eigenvector Centrality for Hypergraphs

Francesco Tudisco, Desmond J. Higham
Communications Physics, Vol 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, pp 2402--2413, 2021
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, Vol 88, pp 21, 2021
doi-open arxiv

Nonlocal PageRank

Stefano Cipolla, Fabio Durastante, Francesco Tudisco
ESAIM Mathematical Modelling and Numerical Analysis, Vol 55, pp 77--97, 2021
doi arxiv code

Ergodicity coefficients for higher-order stochastic processes

Dario Fasino, Francesco Tudisco
SIAM J Mathematics of Data Science, Vol 2, pp 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, Vol 476, pp 20190724, 2020
arxiv doi-open code

Generating large scale-free networks with the Chung-Lu random graph model

Dario Fasino, Arianna Tonetto, Francesco Tudisco
Networks, 2020
doi arxiv code

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

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

Total variation based community detection using a nonlinear optimization approach

Andrea Cristofari, Francesco Rinaldi, Francesco Tudisco
SIAM J Applied Mathematics, Vol 80, pp 1392--1419, 2020
doi arxiv code

Extrapolation methods for fixed-point multilinear PageRank computations

Stefano Cipolla, Michela Redivo-Zaglia, Francesco Tudisco
Numerical Linear Algebra with Applications, Vol 27, pp e2280, 2020
doi arxiv

Generalized matrix means for semisupervised learning with multilayer graphs

Pedro Mercado, Francesco Tudisco, Matthias Hein
In: Advances in Neural Information Processing Systems (NeurIPS), 2019
doi arxiv poster code

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

Francesco Tudisco, Desmond J. Higham
Applied Network Science, Vol 4, pp 1--13, 2019
doi code

Spectral Clustering of Signed Graphs via Matrix Power Means

Pedro Mercado, Francesco Tudisco, Matthias Hein
In: International Conference on Machine Learning (ICML), pp 4526--4536, 2019
doi arxiv

Multi-Dimensional, Multilayer, Nonlinear and Dynamic HITS

Francesca Arrigo, Francesco Tudisco
In: SIAM International Conference on Data Mining, pp 369--377, 2019
doi arxiv code

A nonlinear spectral method for core-periphery detection in networks

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

The contractivity of cone-preserving multilinear mappings

Antoine Gautier, Francesco Tudisco
Nonlinearity (IOP and London Mathematical Society), Vol 32, pp 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., Vol 40, pp 1206--1231, 2019
doi arxiv

The Perron-Frobenius theorem for multihomogeneous mappings

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

The Power Mean Laplacian for Multilayer Graph Clustering

Pedro Mercado, Antoine Gautier, Francesco Tudisco, Matthias Hein
In: International Conference on Artificial Intelligence and Statistics (AISTATS), Proc. Machine Learning Research, Vol 84, pp 1828--1838, 2018
doi arxiv code

The expected adjacency and modularity matrices in the degree corrected stochastic block model

Dario Fasino, Francesco Tudisco
Special Matrices, Vol 6, pp 110--121, 2018
doi

Node and layer eigenvector centralities for multiplex networks

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

A modularity based spectral method for simultaneous community and anti-community detection

Dario Fasino, Francesco Tudisco
Linear Algebra and its Applications, Vol 542, pp 605--623, 2018
doi arxiv

On the stability of network indices defined by means of matrix functions

Stefano Pozza, Francesco Tudisco
SIAM J. Matrix Analysis Appl., Vol 39, pp 1521--1546, 2018
doi arxiv

Community detection in networks via nonlinear modularity eigenvectors

Francesco Tudisco, Pedro Mercado, Matthias Hein
SIAM J. Applied Mathematics, Vol 78, pp 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, Vol 8, pp 883--908, 2018
doi arxiv

Modularity bounds for clusters located by leading eigenvectors of the normalized modularity matrix

Dario Fasino, Francesco Tudisco
Journal of Mathematical Inequalities, Vol 11, pp 701--714, 2017
doi arxiv

Euler-Richardson method preconditioned by weakly stochastic matrix algebras: a potential contribution to Pagerank computation

Stefano Cipolla, Carmine Di Fiore, Francesco Tudisco
Electronic Journal of Linear Algebra (ILAS), Vol 32, pp 254--272, 2017
doi

An Efficient Multilinear Optimization Framework for Hypergraph Matching

Quynh Nguyen, Francesco Tudisco, Antoine Gautier, Matthias Hein
IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol 39, pp 1054--1075, 2017
doi arxiv

Localization of dominant eigenpairs and planted communities by means of Frobenius inner products

Dario Fasino, Francesco Tudisco
Czechoslovak Mathematical Journal, Vol 66, pp 881--893, 2016
doi arxiv special issue

Generalized modularity matrices

Dario Fasino, Francesco Tudisco
Linear Algebra and its Applications, Vol 502, pp 327--345, 2016
doi arxiv

Clustering Signed Networks with the Geometric Mean of Laplacians

Pedro Mercado, Francesco Tudisco, Matthias Hein
In: Advances in Neural Information Processing Systems 29 (NeurIPS), 2016
nips code

Lower triangular Toeplitz-Ramanujan systems whose solution yields the Bernoulli numbers

Carmine Di Fiore, Francesco Tudisco, Paolo Zellini
Linear Algebra and its Applications, Vol 496, pp 510--526, 2016
doi

A note on certain ergodicity coefficients

Francesco Tudisco
Special Matrices, Vol 3, pp 175--185, 2015
doi

Adaptive matrix algebras in unconstrained minimization

Stefano Cipolla, Carmine Di Fiore, Francesco Tudisco, Paolo Zellini
Linear Algebra and its Applications, Vol 471, pp 544--568, 2015
doi

On complex power nonnegative matrices

Francesco Tudisco, Valerio Cardinali, Carmine Di Fiore
Linear Algebra and its Applications, Vol 471, pp 449--468, 2015
doi arxiv

Preprints

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2023

2022

2021

2020

2019

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An algebraic analysis of the graph modularity

Optimal Rank Matrix Algebras Preconditioners

A preconditioning approach to the Pagerank computation

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