Universal function approximation by deep neural nets with bounded width and relu activations B Hanin Mathematics 7 (10), 992, 2019 | 415 | 2019 |
Which neural net architectures give rise to exploding and vanishing gradients? B Hanin Advances in neural information processing systems 31, 2018 | 310 | 2018 |
The principles of deep learning theory DA Roberts, S Yaida, B Hanin Cambridge University Press, 2022 | 301 | 2022 |
Nonlinear Approximation and (Deep) Networks I Daubechies, R DeVore, S Foucart, B Hanin, G Petrova Constructive Approximation 55 (1), 127-172, 2022 | 279 | 2022 |
How to start training: The effect of initialization and architecture B Hanin, D Rolnick Advances in neural information processing systems 31, 2018 | 276 | 2018 |
Approximating continuous functions by relu nets of minimal width B Hanin, M Sellke arXiv preprint arXiv:1710.11278, 2017 | 239 | 2017 |
Complexity of linear regions in deep networks B Hanin, D Rolnick International Conference on Machine Learning, 2596-2604, 2019 | 231 | 2019 |
Deep relu networks have surprisingly few activation patterns B Hanin, D Rolnick Advances in neural information processing systems 32, 2019 | 231 | 2019 |
Neural network approximation R DeVore, B Hanin, G Petrova Acta Numerica 30, 327-444, 2021 | 201 | 2021 |
Finite depth and width corrections to the neural tangent kernel B Hanin, M Nica arXiv preprint arXiv:1909.05989, 2019 | 161 | 2019 |
Products of many large random matrices and gradients in deep neural networks B Hanin, M Nica Communications in Mathematical Physics 376 (1), 287-322, 2020 | 79 | 2020 |
Scaling limit for the kernel of the spectral projector and remainder estimates in the pointwise Weyl law Y Canzani, B Hanin Analysis & PDE 8 (7), 1707-1731, 2015 | 45 | 2015 |
Random neural networks in the infinite width limit as Gaussian processes B Hanin The Annals of Applied Probability 33 (6A), 4798-4819, 2023 | 38 | 2023 |
Local universality for zeros and critical points of monochromatic random waves Y Canzani, B Hanin Communications in Mathematical Physics 378 (3), 1677-1712, 2020 | 31 | 2020 |
Correlations and pairing between zeros and critical points of Gaussian random polynomials B Hanin International Mathematics Research Notices 2015 (2), 381-421, 2015 | 31 | 2015 |
Pairing of zeros and critical points for random polynomials B Hanin | 28 | 2017 |
Correlation functions in random fully connected neural networks at finite width B Hanin arXiv preprint arXiv:2204.01058, 2022 | 25 | 2022 |
Nodal sets of random eigenfunctions for the isotropic harmonic oscillator B Hanin, S Zelditch, P Zhou International Mathematics Research Notices 2015 (13), 4813-4839, 2015 | 24 | 2015 |
Scaling Asymptotics for the Spectral Projector of the Laplacian Y Canzani, B Hanin The Journal of Geometric Analysis 28, 111-122, 2018 | 22 | 2018 |
How data augmentation affects optimization for linear regression B Hanin, Y Sun Advances in neural information processing systems 34, 8095-8105, 2021 | 21 | 2021 |