Lechao Xiao
Lechao Xiao
Google Brain
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Wide neural networks of any depth evolve as linear models under gradient descent
J Lee, L Xiao, S Schoenholz, Y Bahri, R Novak, J Sohl-Dickstein, ...
Advances in neural information processing systems 32, 2019
Dynamical isometry and a mean field theory of cnns: How to train 10,000-layer vanilla convolutional neural networks
L Xiao, Y Bahri, J Sohl-Dickstein, S Schoenholz, J Pennington
International Conference on Machine Learning, 5393-5402, 2018
Bayesian Deep Convolutional Neural Networks with Many Channels are Gaussian Processes
R Novak, L Xiao, Y Bahri, J Lee, G Yang, DA Abolafia, J Pennington, ...
ICLR 2019, 2018
Neural tangents: Fast and easy infinite neural networks in python
R Novak, L Xiao, J Hron, J Lee, AA Alemi, J Sohl-Dickstein, ...
arXiv preprint arXiv:1912.02803, 2019
Finite versus infinite neural networks: an empirical study
J Lee, S Schoenholz, J Pennington, B Adlam, L Xiao, R Novak, ...
Advances in Neural Information Processing Systems 33, 15156-15172, 2020
Provable benefit of orthogonal initialization in optimizing deep linear networks
W Hu, L Xiao, J Pennington
arXiv preprint arXiv:2001.05992, 2020
Dataset distillation with infinitely wide convolutional networks
T Nguyen, R Novak, L Xiao, J Lee
Advances in Neural Information Processing Systems 34, 5186-5198, 2021
Disentangling trainability and generalization in deep neural networks
L Xiao, J Pennington, S Schoenholz
International Conference on Machine Learning, 10462-10472, 2020
The surprising simplicity of the early-time learning dynamics of neural networks
W Hu, L Xiao, B Adlam, J Pennington
Advances in Neural Information Processing Systems 33, 17116-17128, 2020
Uniform estimates for bilinear Hilbert transforms and bilinear maximal functions associated to polynomials
X Li, L Xiao
American Journal of Mathematics 138 (4), 907-962, 2016
Maximal decay inequalities for trilinear oscillatory integrals of convolution type
PT Gressman, L Xiao
Journal of Functional Analysis 271 (12), 3695-3726, 2016
Endpoint estimates for one-dimensional oscillatory integral operators
L Xiao
Advances in Mathematics 316, 255-291, 2017
Bilinear Hilbert transforms associated with plane curves
J Guo, L Xiao
The Journal of Geometric Analysis 26, 967-995, 2016
Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities
L Xiao
arXiv preprint arXiv:1311.3725, 2013
Eigenspace restructuring: a principle of space and frequency in neural networks
L Xiao
Conference on Learning Theory, 4888-4944, 2022
Exploring the Uncertainty Properties of Neural Networks' Implicit Priors in the Infinite-Width Limit
B Adlam, J Lee, L Xiao, J Pennington, J Snoek
ICLR, 2020
Higher decay inequalities for multilinear oscillatory integrals
M Gilula, PT Gressman, L Xiao
Mathematical Research Letters 2018, 2016
Fast neural kernel embeddings for general activations
I Han, A Zandieh, J Lee, R Novak, L Xiao, A Karbasi
arXiv preprint arXiv:2209.04121, 2022
Synergy and symmetry in deep learning: Interactions between the data, model, and inference algorithm
L Xiao, J Pennington
arXiv preprint arXiv:2207.04612, 2022
Precise learning curves and higher-order scaling limits for dot product kernel regression
L Xiao, J Pennington
arXiv preprint arXiv:2205.14846, 2022
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