1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AT2023
ReLU Neural Networks, Polyhedral Decompositions, and Persistent Homolog
Yajing Liu, Christina M Cole, Chris Peterson +1
A ReLU neural network leads to a finite polyhedral decomposition of input space and a corresponding finite dual graph. We show that while this dual graph is a coarse quantization o…
cs.CV2023★ 1 cited
Hamming Similarity and Graph Laplacians for Class Partitioning and Adversarial Image Detection
Huma Jamil, Yajing Liu, Turgay Caglar +4
Researchers typically investigate neural network representations by examining activation outputs for one or more layers of a network. Here, we investigate the potential for ReLU ac…
cs.CV2022
Dual Graphs of Polyhedral Decompositions for the Detection of Adversarial Attacks
Huma Jamil, Yajing Liu, Christina M. Cole +4
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 decompo…