Improving Robustness of Hyperbolic Neural Networks by Lipschitz Analysis

Author:

Li Yuekang1ORCID,Mao Yidan1ORCID,Yang Yifei2ORCID,Zou Dongmian3ORCID

Affiliation:

1. Applied Mathematics and Computational Sciences, DNAS, Duke Kunshan University, Kunshan, China

2. Electronic Information School, Wuhan University, Wuhan, China

3. Zu Chongzhi Center and Data Science Research Center, DNAS, Duke Kunshan University, Kunshan, China

Funder

National Natural Science Foundation of China

Publisher

ACM

Reference60 articles.

1. Ola Ahmad and Freddy Lecue. 2022. FisheyeHDK: Hyperbolic Deformable Kernel Learning for Ultra-Wide Field-of-View Image Recognition. In 36th AAAI Conference on Artificial Intelligence.

2. James W Anderson. 2006. Hyperbolic geometry. Springer Science & Business Media.

3. On Lipschitz Regularization of Convolutional Layers using Toeplitz Matrix Theory

4. Hyperbolic Image Segmentation

5. Gregor Bachmann, Gary Bécigneul, and Octavian Ganea. 2020. Constant curvature graph convolutional networks. In International Conference on Machine Learning.

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