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Franck Gabriel
Franck Gabriel
University Lyon 1, ISFA
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Neural tangent kernel: Convergence and generalization in neural networks
A Jacot, F Gabriel, C Hongler
Advances in neural information processing systems 31, 2018
32702018
Scaling description of generalization with number of parameters in deep learning
M Geiger, A Jacot, S Spigler, F Gabriel, L Sagun, S d’Ascoli, G Biroli, ...
Journal of Statistical Mechanics: Theory and Experiment 2020 (2), 023401, 2020
2212020
Implicit regularization of random feature models
A Jacot, B Simsek, F Spadaro, C Hongler, F Gabriel
International Conference on Machine Learning, 4631-4640, 2020
952020
Kernel alignment risk estimator: Risk prediction from training data
A Jacot, B Simsek, F Spadaro, C Hongler, F Gabriel
Advances in neural information processing systems 33, 15568-15578, 2020
582020
Geometric stochastic heat equations
Y Bruned, F Gabriel, M Hairer, L Zambotti
Journal of the American Mathematical Society 35 (1), 1-80, 2022
562022
Saddle-to-saddle dynamics in deep linear networks: Small initialization training, symmetry, and sparsity
A Jacot, F Ged, B Şimşek, C Hongler, F Gabriel
arXiv preprint arXiv:2106.15933, 2021
412021
The Makeenko–Migdal equation for Yang–Mills theory on compact surfaces
BK Driver, F Gabriel, BC Hall, T Kemp
Communications in Mathematical Physics 352 (3), 967-978, 2017
312017
The asymptotic spectrum of the hessian of dnn throughout training
A Jacot, F Gabriel, C Hongler
arXiv preprint arXiv:1910.02875, 2019
292019
Combinatorial theory of permutation-invariant random matrices I: Partitions, geometry and renormalization
F Gabriel
arXiv preprint arXiv:1503.02792, 2015
232015
Freeness over the diagonal for large random matrices
B Au, G Cébron, A Dahlqvist, F Gabriel, C Male
22*2021
Combinatorial theory of permutation-invariant random matrices II: cumulants, freeness and Levy processes
F Gabriel
arXiv preprint arXiv:1507.02465, 2015
202015
Freeze and chaos for dnns: an ntk view of batch normalization, checkerboard and boundary effects
A Jacot, F Gabriel, C Hongler
arXiv preprint arXiv:1907.05715 6, 2019
182019
The generalized master fields
G Cébron, A Dahlqvist, F Gabriel
Journal of Geometry and Physics 119, 34-53, 2017
17*2017
Deep linear networks dynamics: Low-rank biases induced by initialization scale and l2 regularization
A Jacot, F Ged, F Gabriel, B Simsek, C Hongler
arXiv preprint arXiv:2106.15933 3, 2021
162021
Feature Learning in -regularized DNNs: Attraction/Repulsion and Sparsity
A Jacot, E Golikov, C Hongler, F Gabriel
Advances in Neural Information Processing Systems 35, 6763-6774, 2022
122022
Freeness of type and conditional freeness for random matrices
G Cébron, A Dahlqvist, F Gabriel
arXiv preprint arXiv:2205.01926, 2022
112022
A combinatorial theory of random matrices III: random walks on S (N), ramified coverings and the S (∞) Yang-Mills measure
F Gabriel
arXiv preprint arXiv:1510.01046, 2015
112015
Insider trading with penalties
S Carré, P Collin-Dufresne, F Gabriel
Journal of Economic Theory 203, 105461, 2022
102022
Planar Markovian holonomy fields
F Gabriel
arXiv preprint arXiv:1501.05077, 2015
8*2015
Security and Efficiency in DeFi Lending
S Carre, F Gabriel
Available at SSRN 4307207, 2022
7*2022
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