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cs.LG2025
Computing Linear Regions in Neural Networks with Skip Connections
Johnny Joyce, Jan Verschelde
Neural networks are important tools in machine learning. Representing piecewise linear activation functions with tropical arithmetic enables the application of tropical geometry. A…
cs.LG2025
Polynomial Threshold Functions of Bounded Tree-Width: Some Explainability and Complexity Aspects
Karine Chubarian, Johnny Joyce, Gyorgy Turan
The tree-width of a multivariate polynomial is the tree-width of the hypergraph with hyperedges corresponding to its terms. Multivariate polynomials of bounded tree-width have been…