Alternating Minimization for Regression with Tropical Rational Functions
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Publication:6438708
arXiv2305.20072MaRDI QIDQ6438708
Author name not available (Why is that?)
Publication date: 31 May 2023
Abstract: We propose an alternating minimization heuristic for regression over the space of tropical rational functions with fixed exponents. The method alternates between fitting the numerator and denominator terms via tropical polynomial regression, which is known to admit a closed form solution. We demonstrate the behavior of the alternating minimization method experimentally. Experiments demonstrate that the heuristic provides a reasonable approximation of the input data. Our work is motivated by applications to ReLU neural networks, a popular class of network architectures in the machine learning community which are closely related to tropical rational functions.
Has companion code repository: https://github.com/alex-dunbar/tropical-data
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