FRANCESCO TUDISCO
Postdoctoral fellow
Faculty of Mathematics and Computer Science,
Saarland University
Address:
Saarland University
Saarland Informatics Campus
Building E 1 1, Room 229
66123 Saarbrücken
Germany
phone: +49 (0) 681 302 57333
ABOUT ME
I received my Ph.D. in mathematics from the University of Rome “Tor Vergata”, with the thesis “Advances in Perron-Frobenius theory and algebraic network analysis”. Presently I am a member of the machine learning group at Saarland University. My primary research interests include matrix analysis, computational mathematics, graph theory, and their application to network analysis, machine learning and optimization. My work is mainly aimed at developing
and analysing theoretical and computational issues related to spectral properties of graphs and networks, with
an emphasis on node centrality and clustering problems.
My main present research activity include the anlysis of spectral properties of the p-Laplacian operator and of the modularity matrix on finite graphs, as well related computational issues and applications to the treatment of networks.
Surprisingly enough my Erdösh number is 4.
See also my page on Research Gate
PREPRINTS
- F. Tudisco and M. Hein
A nodal domain theorem and a higher-order Cheeger inequality for the graph p-Laplacian
(arXiv) - D. Fasino and F. Tudisco
Localization of dominant eigenpairs and planted communities by means of Frobenius inner products
(arXiv)
PUBLICATIONS
- P. Mercado, F. Tudisco, M. Hein
Clustering Signed Networks with the Geometric Mean of Laplacians
to appear on Proc. Advances in Neural Information Processing Systems (NIPS 2016) - Q. Nguyen, F. Tudisco, A. Gautier, M. Hein
An Efficient Multilinear Optimization Framework for Hypergraph Matching
to appear on IEEE Transactions on Pattern Analysis and Machine Intelligence (arXiv) - D. Fasino and F. Tudisco
Modularity bounds for clusters located by leading eigenvectors of the normalized modularity matrix
to appear on Czechoslovak Math.(arXiv) - C. Di Fiore, F. Tudisco, P. Zellini
Lower triangular Toeplitz–Ramanujan systems whose solution yields the Bernoulli numbers
Linear Algebra Appl. 496(2016), pp. 510-526 (DOI) - F. Tudisco
A note on certain ergodicity coefficients
Special Matrices 3(2015), pp. 175-185 (DOI) - D. Fasino and F. Tudisco
Generalized modularity matrices
Linear Algebra Appl. 502(2016), pp. 327-345 (DOI) (arXiv) - S. Cipolla, C. Di Fiore, F. Tudisco, P. Zellini
Adaptive matrix algebras in unconstrained minimization
Linear Algebra Appl. 471(2015), pp. 544-568 (DOI) - F. Tudisco, V. Cardinali and C. Di Fiore
On complex power nonnegative matrices
Linear Algebra Appl. 471(2015), pp. 449-468 (DOI) (arXiv) - D. Fasino and F. Tudisco
An algebraic analysis of the graph modularity
SIAM. J. Matrix Anal. & Appl. 35(2014), pp. 997-1018 (DOI) (arXiv) - F. Tudisco, C. Di Fiore and E. E. Tyrtyshnikov
Optimal rank matrix algebras preconditioners
Linear Algebra Appl. 438(2013), pp. 405-427 (DOI) (arXiv) - F. Tudisco and C. Di Fiore
A preconditioning approach to the pagerank computation problem
Linear Algebra Appl. 435(2011), pp. 2222-2246 (DOI)