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cs.LG2022★ 2 cited
Algorithmic Determination of the Combinatorial Structure of the Linear Regions of ReLU Neural Networks
Marissa Masden
We algorithmically determine the regions and facets of all dimensions of the canonical polyhedral complex, the universal object into which a ReLU network decomposes its input space…
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…