Books #

Research papers #

High-dimensional Robust Regression Under Heavy-tailed Data: Asymptotics and Universality.
Urte Adomaityte, Leonardo Defilippis, Bruno Loureiro, Gabriele Sicuro.
J. Stat. Mech. 2024, 114002 (2024).

Classification of Heavy-tailed Features in High Dimensions: a Superstatistical Approach.
Urte Adomaityte, Gabriele Sicuro, Pierpaolo Vivo.
Proc. 36th Int. Conf. on Neural Information Processing Systems (2023).

Planted Matching Problems on Random Hypergraphs.
Urte Adomaityte, Anshul Toshniwal, Gabriele Sicuro, Lenka Zdeborová.
Phys. Rev. E 106, 054302 (2022).

Fluctuations, Bias, Variance & Ensemble of Learners: Exact Asymptotics for Convex Losses in High-Dimension.
Bruno Loureiro, Cédric Gerbelot, Maria Refinetti, Gabriele Sicuro, Florent Krzakala.
Proc. 39th Int. Conf. on Machine Learning (2022).

Aligning Random Graphs with a Sub-tree Similarity Message-passing Algorithm.
Giovanni Piccioli, Guilhem Semerjian, Gabriele Sicuro, Lenka Zdeborová.
J. Stat. Mech. 063401, (2022).

Learning Gaussian Mixtures with Generalised Linear Models: Precise Asymptotics in High-dimensions.
Bruno Loureiro, Gabriele Sicuro, Cédric Gerbelot, Alessandro Pacco, Florent Krzakala, Lenka Zdeborová.
Proc. 34th Int. Conf. on Neural Information Processing Systems (2021).

Criticality and Conformality in the Random Dimer Model.
Sergio Caracciolo, Riccardo Fabbricatore, Marco Gherardi, Raffaele Marino, Giorgio Parisi, Gabriele Sicuro.
Phys. Rev. E 103, 042127 (2021).

The Planted $k$-factor Problem.
Gabriele Sicuro, Lenka Zdeborová.
J. Phys. A: Math. Theor. 54 175002 (2021).

Random Assignment Problems on $2d$ Manifolds.
Dario Benedetto, Emanuele Caglioti, Sergio Caracciolo, Matteo D’Achille, Gabriele Sicuro, Andrea Sportiello.
J. Stat. Phys. 183, 34 (2021)

Recovery Thresholds in the Sparse Planted Matching Problem.
Guilhem Semerjian, Gabriele Sicuro, Lenka Zdeborová.
Phys. Rev. E 102, 022304 (2020).

Random-link Matching Problems on Random Regular Graphs.
Giorgio Parisi, Gianmarco Perrupato, Gabriele Sicuro.
J. Stat. Mech. 2020, 033301 (2020).

Fluctuations in the Random-link Matching Problem.
Enrico M. Malatesta, Giorgio Parisi, Gabriele Sicuro.
Phys. Rev. E 100, 032102 (2019).

Anomalous Scaling of the Optimal Cost in the One-dimensional Random Assignment Problem.
Sergio Caracciolo, Matteo D’Achille, Gabriele Sicuro.
J. Stat. Phys. 174, 846-864 (2019).

Mean-field Model for the Density of States of Jammed Soft Spheres.
Fernanda P. C. Benetti, Giorgio Parisi, Francesca Pietracaprina, Gabriele Sicuro.
Phys. Rev. E 97, 062157 (2018).

The Random Fractional Matching Problem.
Carlo Lucibello, Enrico M. Malatesta, Giorgio Parisi, Gabriele Sicuro.
J. Stat. Mech. 2018, 053301 (2018).

Random Euclidean Matching Problems in One Dimension.
Sergio Caracciolo, Matteo D’Achille, Gabriele Sicuro.
Phys. Rev. E 96, 042102 (2017).

$q$-Generalized Representation of the $d$-dimensional Dirac Delta and $q$-Fourier Transform.
Gabriele Sicuro, Constantino Tsallis.
Phys. Lett. A 381(32), 2583-2587 (2017).

Finite-size Corrections in the Random Assignment Problem.
Sergio Caracciolo, Matteo P. D’Achille, Enrico M. Malatesta, Gabriele Sicuro.
Phys. Rev. E 95, 052129 (2017).

One-loop Diagrams in the Random Euclidean Matching Problem.
Carlo Lucibello, Giorgio Parisi, Gabriele Sicuro.
Phys. Rev. E 95, 012302 (2017).

Nonlinear Inhomogeneous Fokker-Planck Equations: Entropy and Free-energy Time Evolution.
Gabriele Sicuro, Peter Rapčan, Constantino Tsallis.
Phys. Rev. E 94, 062117 (2016).

On the Connection Between Linear Combination of Entropies and Linear Combination of Extremizing Distributions.
Gabriele Sicuro, Debarshee Bagchi, Constantino Tsallis.
Phys. Lett. A 380(24), 2025-2030 (2016)

Groups, Information Theory and Einstein’s Likelihood Principle.
Gabriele Sicuro, Piergiulio Tempesta.
Phys. Rev. E 93, 040101 (2016).

Quadratic Stochastic Euclidean Bipartite Matching Problem.
Sergio Caracciolo, Gabriele Sicuro.
Phys. Rev. Lett. 115, 230601 (2015).

On the Robustness of the $q$-Gaussian Family.
Gabriele Sicuro, Piergiulio Tempesta, Antonio Rodríguez, Constantino Tsallis.
Ann. Phys., 363, p. 316-336 (2015).

Scaling Hypothesis for the Euclidean Bipartite Matching Problem II. Correlation Functions.
Sergio Caracciolo, Gabriele Sicuro.
Phys. Rev. E 91, 062125 (2015).

On the One Dimensional Euclidean Matching Problem: Exact Solutions, Correlation Functions and Universality.
Sergio Caracciolo, Gabriele Sicuro.
Phys. Rev. E 90, 042112 (2014).

A Foundational Approach to the Lie Theory for Fractional Order Partial Differential Equations.
Rosario Antonio Leo, Gabriele Sicuro, Piergiulio Tempesta.
Fract. Calc. Appl. Anal., 20(1), 212-231 (2017).

A Theorem on the Existence of Symmetries of Fractional PDEs.
Rosario Antonio Leo, Gabriele Sicuro, Piergiulio Tempesta.
C. R. Math., 352(3), 219-222 (2014).

Scaling Hypothesis for the Euclidean Bipartite Matching Problem.
Sergio Caracciolo, Carlo Lucibello, Giorgio Parisi, Gabriele Sicuro.
Phys. Rev. E 90, 012118 (2014).