The aim of the centre is to contribute to the development of mathematical research in the field of modelling and data science through the organization of seminars, conferences and doctoral courses. More important still is the possibility of establishing a permanent forum for the interaction between mathematical research and actual applications. In particular, the interdisciplinary nature of the center allows the creation of stable interactions between those involved in mathematical techniques of data analysis in different departments of the University. At the same time, our goal is to foster interactions with other research centres and even outside the strictly academic sphere.

Organizers

• Domenico Marinucci
• Michele Salvi
• Stefano Vigogna

We are also members of the PRIN project GRAFIA.

Board

• Domenico Marinucci (coordinator)
• Filippo Bracci
• Piermarco Cannarsa
• Lucia Caramellino
• Andrea Clementi
• Alessio Farcomeni
• Giorgio Gambosi
• Carla Manni
• Paolo Pigato
• Michele Salvi
• Benedetto Scoppola
• Alfonso Sorrentino
• Hendrik Speleers
• Stefano Vigogna
• Nicola Vittorio

Recent publications

• A. Cipriani, R. Hazra, N. Malhotra M. Salvi
  The spectrum of dense kernel-based random graphs
  arXiv preprint (2025).
• P. Baldi, D. Marinucci, S. Trapani,
  Exchangeability and Irreducible Rotational Invariance
  Proceedings of the American Mathematical Society, 153, n.2, 513-521 (2025).
• V. Cammarota, R. Maffucci, D. Marinucci, M. Rossi,
  Correlation Structure and Resonant Pairs for Arithmetic Random Waves
  Stochastic Processes and their Applications, 181, 105525, 21 pp., (2025).
• L. Makowiec, M. Salvi, R. Sun
  Random spanning trees in random environment
  arXiv preprint (2024).
• V. Cammarota, D. Marinucci, M. Rossi
  Fluctuations of Level Curves for Time-Dependent Spherical Random Fields
  Ann. H. Lebesgue, 7, 583-620, (2024).
• F. Angileri, G. Lombardi, A. Fois, R. Faraone, C. Metta, M. Salvi, L.A. Bianchi, M. Fantozzi, S.g. Galfrè, D. Pavesi, M. Parton, F. Morandin
  A Systematization of the Wagner Framework: Graph Theory Conjectures and Reinforcement Learning
  arXiv preprint (2024).
• S. Bourguin, C. Durastanti, D. Marinucci, A. P. Todino,
  Spherical Poisson Waves
  Electronic Journal of Probability, Paper No. 8, 27 pp., (2024).
• C. Durastanti, D. Marinucci, A. P. Todino,
  Flexible-bandwidth Needlets
  Bernoulli, Vol. 30, n. 1, 22-45 (2024).
• F. Bartolucci, M. Carioni, J. A. Iglesias, Y. Korolev, E. Naldi, S. Vigogna,
  A Lipschitz spaces view of infinitely wide shallow neural networks
  arXiv preprint (2024).
• A. Cipriani, M. Salvi,
  Scale-free percolation mixing time
  Stochastic Processes and Their Applications (2024).
• S. Di Lillo, D. Marinucci, M. Salvi, S. Vigogna,
  Spectral complexity of deep neural networks
  arXiv preprint (2024).
• F. Bartolucci, E. De Vito, L. Rosasco, S. Vigogna,
  Neural reproducing kernel Banach spaces and representer theorems for deep networks
  arXiv preprint (2024).
• V. Cabannes, S. Vigogna,
  How many samples are needed to leverage smoothness?
  Neural Information Processing Systems (NeurIPS) 36 (2023).
• L. Makowiec, M. Salvi, R. Sun
  Diameter of uniform spanning trees on random weighted graphs
  arXiv preprint, accepted for publication in Annals de l'Institute Henri Poincaré (2024+).
• V. Cammarota, D. Marinucci, M. Salvi, S. Vigogna
  A quantitative functional central limit theorem for shallow neural networks
  Modern Stochastics: Theory and Applications (2024).
• S. Favaro, B. Hanin, D. Marinucci, I. Nourdin, G. Peccati
  Quantitative CLTs in deep neural networks
  Probability Theory and Related Fields (2025).
• V. Cabannes, S. Vigogna,
  A Case of Exponential Convergence Rates for SVM
  International Conference on Artificial Intelligence and Statistics (AISTATS) 26 (2023).
• A. Lerario, D. Marinucci, M. Rossi, M. Stecconi
  Geometry and topology of spin random fields
  arXiv preprint (2023).
• A. Caponera, D. Marinucci, A. Vidotto
  Multiscale CUSUM tests for time dependent spherical random fields
  arXiv preprint (2023).
• J. Carron Duque, D. Marinucci
  Geometric methods for spherical data, with applications to Cosmology
  arXiv preprint (2023).
• V. Bansaye, M. Salvi,
  Branching process and homogeneization for epidemics on spatial random graphs
  Electronic Journal of Probability (2024).
• J. Carron Duque, A. Carones, D. Marinucci, M. Migliaccio, N. Vittorio
  Minkowski functionals in SO(3) for the spin 2 CMB polarisation field
  Journal of Cosmology and Astroparticle Physics, no. 1, Paper No. 039, 26 pp (2024).
• J. Carron Duque, D. Marinucci
  Geometric Methods for Spherical Data, with Applications to Cosmology
  Annual Review of Statistics and its Applications, 11, 437-460, (2024).
• A. Carones, J. Carron, D. Marinucci, M. Migliaccio, N. Vittorio
  Minkowski functionals of CMB polarisation with Pynkowski: theory and applications to Plank and future data
  Monthly Notices of the Royal Astronomical Society, Volume 527, 1, 756-773, (2024).
• A. Carones, D. Marinucci, M. Migliaccio, N. Vittorio
  Analysis of NILC performance on B modes data of suborbital experiments
  arXiv preprint (2023).
• D. Marinucci, M. Rossi, A. Vidotto
  Fluctuations of level curves for time dependent spherical random fields
  arXiv preprint (2023).
• F. Bartolucci, E. De Vito, L. Rosasco, S. Vigogna,
  Understanding neural networks with reproducing kernel Banach spaces
  Applied and Computational Harmonic Analysis (2023).
• S. Vigogna, G. Meanti, E. De Vito, L. Rosasco
  Multiclass learning with margin: exponential rates with no bias-variance trade-off
  International Conference on Machine Learning (ICML) 39 (2022).
• D. Fakhoury, E. Fakhoury, H. Speleers
  ExSpliNet: An interpretable and expressive spline-based neural network
  Neural Networks 152, pp. 332-346, (2022).
• A. Carones, M. Migliaccio, G. Puglisi, C. Baccigalupi, D. Marinucci, N. Vittorio, D. Poletti
  Multi-cluster Needlet ILC for CMB B modes separation
  Monthly Notices of the Royal Astronomical Society, Vol. 525, 3117-3135 (2023).
• D. Marinucci
  Some Recent Developments on the Geometry of Random Spherical Eigenfunctions
  Proceedings of the 8th European Congress of Mathematics, Invited Paper, 338-365, (2023).