Predicting the integer decomposition property via machine learning
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Publication:5195201
DOI10.1142/9789811200489_0010zbMATH Open1477.68263arXiv1807.08399OpenAlexW2889077697MaRDI QIDQ5195201
Author name not available (Why is that?)
Publication date: 18 September 2019
Published in: (Search for Journal in Brave)
Abstract: In this paper we investigate the ability of a neural network to approximate algebraic properties associated to lattice simplices. In particular we attempt to predict the distribution of Hilbert basis elements in the fundamental parallelepiped, from which we detect the integer decomposition property (IDP). We give a gentle introduction to neural networks and discuss the results of this prediction method when scanning very large test sets for examples of IDP simplices.
Full work available at URL: https://arxiv.org/abs/1807.08399
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