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Paper · 1906.02355 · 2019

Neural SDE: Stabilizing Neural ODE Networks with Stochastic Noise

arXiv · PDF · Open in the Atlas

Code that ran

We lifted 4 functions out of this paper's own repositories and ran 4 of them in a sandbox. "Ran" means the function executed on a synthesized input and returned a value. It is not a reproduction of the paper's results.

RepositoryRoleRan
xuanqing94/NeuralSDE canonical 4 of 4
FunctionStatusWhere it lives
downsample Ran xuanqing94/NeuralSDE/models/flow_net.py
pointer only (licence: NOASSERTION) · get_code("46e8e9e9cfb1b872")
test_one_epoch Ran xuanqing94/NeuralSDE/train_xde.py
pointer only (licence: NOASSERTION) · get_code("35867fe09f495a75")
train_one_epoch Ran xuanqing94/NeuralSDE/train_xde.py
pointer only (licence: NOASSERTION) · get_code("527ceb9f828b115e")
upsample Ran xuanqing94/NeuralSDE/models/flow_net.py
pointer only (licence: NOASSERTION) · get_code("3d1a78e0efa17a25")

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Abstract

Neural Ordinary Differential Equation (Neural ODE) has been proposed as a continuous approximation to the ResNet architecture. Some commonly used regularization mechanisms in discrete neural networks (e.g. dropout, Gaussian noise) are missing in current Neural ODE networks. In this paper, we propose a new continuous neural network framework called Neural Stochastic Differential Equation (Neural SDE) network, which naturally incorporates various commonly used regularization mechanisms based on random noise injection. Our framework can model various types of noise injection frequently used in discrete networks for regularization purpose, such as dropout and additive/multiplicative noise in each block. We provide theoretical analysis explaining the improved robustness of Neural SDE models against input perturbations/adversarial attacks. Furthermore, we demonstrate that the Neural SDE network can achieve better generalization than the Neural ODE and is more resistant to adversarial and non-adversarial input perturbations.

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