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arXiv · 2109.11417

A machine learning approach to commutative algebra: Distinguishing table vs non-table ideals

Laia Amorós·Oleksandra Gasanova·Laura Jakobsson
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Abstract

We propose a novel approach to distinguish table vs non-table ideals by using different machine learning algorithms. We introduce the reader to table ideals, assuming some knowledge on commutative algebra and describe their main properties. We create a data set containing table and non-table ideals, and we use a feedforward neural network model, a decision tree and a graph neural networks for the classification. Our results indicate that there exists an algorithm to distinguish table ideals from non-table ideals, and we prove it along some novel results on table ideals.

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Laia Amorós, Oleksandra Gasanova, Laura Jakobsson. 2021-09-23. A machine learning approach to commutative algebra: Distinguishing table vs non-table ideals. https://arxiv.org/abs/2109.11417

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