182 citations · 195 across the 8 of their papers we have counts for
4 papers · 1 filter
Sound and Complete Verification of Polynomial Networks
Elias Abad Rocamora, Mehmet Fatih Sahin, Fanghui Liu +2
Polynomial Networks (PNs) have demonstrated promising performance on face and image recognition recently. However, robustness of PNs is unclear and thus obtaining certificates beco…
Extrapolation and Spectral Bias of Neural Nets with Hadamard Product: a Polynomial Net Study
Yongtao Wu, Zhenyu Zhu, Fanghui Liu +2
Neural tangent kernel (NTK) is a powerful tool to analyze training dynamics of neural networks and their generalization bounds. The study on NTK has been devoted to typical neural…
The Spectral Bias of Polynomial Neural Networks
Moulik Choraria, Leello Tadesse Dadi, Grigorios Chrysos +2
Polynomial neural networks (PNNs) have been recently shown to be particularly effective at image generation and face recognition, where high-frequency information is critical. Prev…
Controlling the Complexity and Lipschitz Constant improves polynomial nets
Zhenyu Zhu, Fabian Latorre, Grigorios G Chrysos +1
While the class of Polynomial Nets demonstrates comparable performance to neural networks (NN), it currently has neither theoretical generalization characterization nor robustness…