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math.AT2025
Combinatorial Regularity for Relatively Perfect Discrete Morse Gradient Vector Fields of ReLU Neural Networks
Robyn Brooks, Marissa Masden
One common function class in machine learning is the class of ReLU neural networks. ReLU neural networks induce a piecewise linear decomposition of their input space called the can…
math.AT2022★ 1 cited
Local and global topological complexity measures OF ReLU neural network functions
J. Elisenda Grigsby, Kathryn Lindsey, Marissa Masden
We apply a generalized piecewise-linear (PL) version of Morse theory due to Grunert-Kuhnel-Rote to define and study new local and global notions of topological complexity for fully…