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Deep Residual Learning and PDEs on Manifold
August 17, 2017 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Zhen Li, Zuoqiang Shi
arXiv ID
1708.05115
Category
cs.IT: Information Theory
Citations
39
Venue
arXiv.org
Last Checked
6 months ago
Abstract
In this paper, we formulate the deep residual network (ResNet) as a control problem of transport equation. In ResNet, the transport equation is solved along the characteristics. Based on this observation, deep neural network is closely related to the control problem of PDEs on manifold. We propose several models based on transport equation and Hamilton-Jacobi equation. The discretization of these PDEs on point cloud is also discussed.
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