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Dual Graphs of Polyhedral Decompositions for the Detection of Adversarial Attacks. (arXiv:2211.13305v1 [cs.CV])
Nov. 28, 2022, 2:10 a.m. | Huma Jamil, Yajing Liu, Christina Cole, Nathaniel Blanchard, Emily J. King, Michael Kirby, Christopher Peterson
cs.CR updates on arXiv.org arxiv.org
Previous work has shown that a neural network with the rectified linear unit
(ReLU) activation function leads to a convex polyhedral decomposition of the
input space. These decompositions can be represented by a dual graph with
vertices corresponding to polyhedra and edges corresponding to polyhedra
sharing a facet, which is a subgraph of a Hamming graph. This paper illustrates
how one can utilize the dual graph to detect and analyze adversarial attacks in
the context of digital images. When an …
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