# Wide neural networks of any depth evolve as linear models under gradient descent

@article{Lee2019WideNN, title={Wide neural networks of any depth evolve as linear models under gradient descent}, author={Jaehoon Lee and Lechao Xiao and Samuel S. Schoenholz and Yasaman Bahri and Roman Novak and Jascha Narain Sohl-Dickstein and Jeffrey S. Pennington}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2019}, volume={2020} }

A longstanding goal in deep learning research has been to precisely characterize training and generalization. [... ] Key Result While these theoretical results are only exact in the infinite width limit, we nevertheless find excellent empirical agreement between the predictions of the original network and those of the linearized version even for finite practically-sized networks. This agreement is robust across different architectures, optimization methods, and loss functions. Expand

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