See also my Google Scholar.
M. Benedetti, A. Bogdanov, E. M. Malatesta, M. Mézard, G. Perrupato, A. Rosen, N. I. Schwartzbach, R. Zecchina, Collision Resistance of Single-Layer Neural Nets, see also here (2026)
M. Benedetti, A. Bogdanov, E. M. Malatesta, M. Mézard, G. Perrupato, A. Rosen, N. I. Schwartzbach, R. Zecchina, Are Neural Networks collision resistant?, Phys. Rev. X 16, 021051 (2026).
J. Barbier, F. Gerace, A. Ingrosso, C. Lauditi, E. M. Malatesta, G. Nwemadji, R. Pérez Ortiz, Generalization performance of narrow one-hidden layer networks in the teacher-student setting, J. Stat. Mech. (2026) 043405.
M. Benedetti, A. Bogdanov, E. M. Malatesta, M. Mézard, G. Perrupato, A. Rosen, N. I. Schwartzbach, R. Zecchina, Rare Overlap Gap and Computational Thresholds in the Square Wave Perceptron J. Stat. Mech. (2025) 123303.
P. Charbonneau, G. Folena, E. M. Malatesta, T. Rizzo, F. Zamponi, Rare Trajectories in a Prototypical Mean-field Disordered Model: Insights into Landscape and Instantons Phys. Rev. E 113, 034107 (2026). Code available here.
A. Zambon, E. M. Malatesta, G. Tiana, R. Zecchina, Sampling the space of solutions of an artificial neural network Phys. Rev. E 112, 045303 (2025).
B. L. Annesi, E. M. Malatesta, F. Zamponi, Exact full-RSB SAT/UNSAT transition in infinitely wide two-layer neural networks, SciPost Phys. 18, 118 (2025).
S. Kalaj, C. Lauditi, G. Perugini, C. Lucibello, E. M. Malatesta, M. Negri, Random Features Hopfield Networks generalize retrieval to previously unseen examples, Physica A: Statistical Mechanics and its Applications, 678, 130946 (2025).
C. Lauditi, E. M. Malatesta, F. Pittorino, C. Baldassi, N. Brunel, R. Zecchina, Impact of dendritic non-linearities on the computational capabilities of neurons, PRX Life 3, 033003 (2025).
L. T. Giorgini, U. D. Jentschura, E. M. Malatesta, T. Rizzo, J. Zinn-Justin, Instantons in Theories: Transseries, Virial Theorems and Numerical Aspects, Phys. Rev. D 110, 036003 (2024), Editors' suggestion.
E. Demyanenko, C. Feinauer, E. M. Malatesta, L. Saglietti, The twin peaks of learning neural networks, Machine Learning: Science and Technology 5, 2 (2024).
E. M. Malatesta, High-dimensional manifold of solutions in neural networks: insights from statistical physics (2023).
B. L. Annesi, C. Lauditi, C. Lucibello, E. M. Malatesta, G. Perugini, F. Pittorino, L. Saglietti, The star-shaped space of solutions of the spherical negative perceptron, Phys. Rev. Lett. 131, 227301 (2023), Editors' suggestion.
M. Negri, C. Lauditi, G. Perugini, C. Lucibello, E. M. Malatesta, Storage and Learning phase transitions in the Random-Features Hopfield Model, Phys. Rev. Lett. 131, 257301 (2023).
C. Baldassi, E. M. Malatesta, G. Perugini, R. Zecchina, Typical and atypical solutions in non-convex neural networks with discrete and continuous weights, Phys. Rev. E 108, 024310 (2023).
C. Baldassi, C. Lauditi, E. M. Malatesta, R. Pacelli, G. Perugini, R. Zecchina, Learning through atypical "phase transitions" in overparameterized neural networks, Phys. Rev. E 106, 014116 (2022).
L. T. Giorgini, U. D. Jentschura, E. M. Malatesta, G. Parisi, T. Rizzo, J. Zinn-Justin, Correlation Functions of the Anharmonic Oscillator: Numerical Verification of Two-Loop Corrections to the Large-Order Behavior, Phys. Rev. D 105, 105012 (2022).
C. Baldassi, E. M. Malatesta, C. Lauditi, G. Perugini, R. Zecchina, Unveiling the structure of wide flat minima in neural networks, Phys. Rev. Lett. 127, 278301 (2021).
C. Baldassi, E. M. Malatesta, M. Negri, R. Zecchina, Wide flat minima and optimal generalization in classifying high-dimensional Gaussian mixtures, J. Stat. Mech. (2020) 124012.
L. T. Giorgini, U. D. Jentschura, E. M. Malatesta, G. Parisi, T. Rizzo, J. Zinn-Justin, Two-loop corrections to the large-order behavior of correlation functions in the one-dimensional -vector model, Phys. Rev. D 101, 125001 (2020).
C. Baldassi, E. M. Malatesta, R. Zecchina, Properties of the geometry of solutions and capacity of multilayer neural networks with rectified linear unit activations, Phys. Rev. Lett. 123, 170602 (2019).
E. M. Malatesta, G. Parisi, G. Sicuro, Fluctuations in the random-link matching problem, Phys. Rev. E 100, 032102 (2019).
S. Caracciolo, A. Di Gioacchino, E. M. Malatesta, Selberg integrals in 1D random Euclidean optimization problems, J. Stat. Mech. (2019) 063401.
S. Caracciolo, A. Di Gioacchino, E. M. Malatesta, C. Vanoni, Average optimal cost for the Euclidean TSP in one dimension, J. Phys. A: Math. Theor. 52 (2019) 264003.
R. Capelli, S. Caracciolo, A. Di Gioacchino, E. M. Malatesta, Exact value for the average optimal cost of the bipartite traveling salesman and two-factor problems in two dimensions, Phys. Rev. E 98, 030101(R) (2018).
S. Caracciolo, A. Di Gioacchino, E. M. Malatesta, Plastic number and optimal solutions for an Euclidean 2-matching in one dimension, J. Stat. Mech. (2018) 083402.
S. Caracciolo, A. Di Gioacchino, M. Gherardi, E. M. Malatesta, Solution for a bipartite Euclidean traveling-salesman problem in one dimension, Phys. Rev. E 97, 052109 (2018).
C. Lucibello, E. M. Malatesta, G. Parisi, G. Sicuro, The random fractional matching problem, J. Stat. Mech. (2018) 053301.
E. M. Malatesta, G. Parisi, T. Rizzo, Two-Loop Corrections to Large Order Behavior of Theory, Nucl. Phys. B 922 (2017) 293–318.
S. Caracciolo, M. P. D’Achille, E. M. Malatesta, G. Sicuro, Finite-size corrections in the random assignment problem, Phys. Rev. E 95, 052129 (2017).