Properties of the geometry of solutions and capacity of multilayer neural networks with rectified linear unit activations C Baldassi, EM Malatesta, R Zecchina
Physical review letters 123 (17), 170602, 2019
59 2019 Unveiling the structure of wide flat minima in neural networks C Baldassi, C Lauditi, EM Malatesta, G Perugini, R Zecchina
Physical Review Letters 127 (27), 278301, 2021
38 2021 Learning through atypical phase transitions in overparameterized neural networks C Baldassi, C Lauditi, EM Malatesta, R Pacelli, G Perugini, R Zecchina
Physical Review E 106 (1), 014116, 2022
32 2022 Star-shaped space of solutions of the spherical negative perceptron BL Annesi, C Lauditi, C Lucibello, EM Malatesta, G Perugini, F Pittorino, ...
Physical Review Letters 131 (22), 227301, 2023
16 2023 Finite-size corrections in the random assignment problem S Caracciolo, MP D'Achille, EM Malatesta, G Sicuro
Physical Review E 95 (5), 052129, 2017
16 2017 Solution for a bipartite Euclidean traveling-salesman problem in one dimension S Caracciolo, A Di Gioacchino, M Gherardi, EM Malatesta
Physical Review E 97 (5), 052109, 2018
15 2018 Wide flat minima and optimal generalization in classifying high-dimensional Gaussian mixtures C Baldassi, EM Malatesta, M Negri, R Zecchina
Journal of Statistical Mechanics: Theory and Experiment 2020 (12), 124012, 2020
14 2020 Fluctuations in the random-link matching problem EM Malatesta, G Parisi, G Sicuro
Physical Review E 100 (3), 032102, 2019
12 2019 Storage and learning phase transitions in the random-features hopfield model M Negri, C Lauditi, G Perugini, C Lucibello, E Malatesta
Physical Review Letters 131 (25), 257301, 2023
11 * 2023 Selberg integrals in 1D random Euclidean optimization problems S Caracciolo, A Di Gioacchino, EM Malatesta, LG Molinari
Journal of Statistical Mechanics: Theory and Experiment 2019 (6), 063401, 2019
11 2019 Exact value for the average optimal cost of the bipartite traveling salesman and two-factor problems in two dimensions R Capelli, S Caracciolo, A Di Gioacchino, EM Malatesta
Physical Review E 98 (3), 030101, 2018
11 2018 Typical and atypical solutions in nonconvex neural networks with discrete and continuous weights C Baldassi, EM Malatesta, G Perugini, R Zecchina
Physical Review E 108 (2), 024310, 2023
9 2023 Two-loop corrections to large order behavior of φ4 theory EM Malatesta, G Parisi, T Rizzo
Nuclear Physics B 922, 293-318, 2017
9 2017 Two-loop corrections to the large-order behavior of correlation functions in the one-dimensional LT Giorgini, UD Jentschura, EM Malatesta, G Parisi, T Rizzo, J Zinn-Justin
Physical Review D 101 (12), 125001, 2020
7 2020 Correlation functions of the anharmonic oscillator: Numerical verification of two-loop corrections to the large-order behavior LT Giorgini, UD Jentschura, EM Malatesta, G Parisi, T Rizzo, J Zinn-Justin
Physical Review D 105 (10), 105012, 2022
6 2022 Plastic number and possible optimal solutions for an Euclidean 2-matching in one dimension S Caracciolo, A Di Gioacchino, EM Malatesta
Journal of Statistical Mechanics: Theory and Experiment 2018 (8), 083402, 2018
6 2018 Average optimal cost for the Euclidean TSP in one dimension S Caracciolo, A Di Gioacchino, EM Malatesta, C Vanoni
Journal of Physics A: Mathematical and Theoretical 52 (26), 264003, 2019
4 2019 Random Features Hopfield Networks generalize retrieval to previously unseen examples S Kalaj, C Lauditi, G Perugini, C Lucibello, EM Malatesta, M Negri
arXiv preprint arXiv:2407.05658, 2024
3 2024 High-dimensional manifold of solutions in neural networks: insights from statistical physics EM Malatesta
arXiv preprint arXiv:2309.09240, 2023
3 2023 Instantons in LT Giorgini, UD Jentschura, EM Malatesta, T Rizzo, J Zinn-Justin
Physical Review D 110 (3), 036003, 2024
2 2024 
Carlo BaldassiBocconi University; ELLIS scholarEmail verificata su unibocconi.it
