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math.AC2023★ 1 cited
The Spark Randomizer: a learned randomized framework for computing Gröbner bases
Shahrzad Jamshidi, Sonja Petrović
We define a violator operator which captures the definition of a minimal Gröbner basis of an ideal. This construction places the problem of computing a Gröbner basis within the fra…
math.AC2023
Predicting the cardinality and maximum degree of a reduced Gröbner basis
Shahrzad Jamshidi, Eric Kang, Sonja Petrović
We construct neural network regression models to predict key metrics of complexity for Gröbner bases of binomial ideals. This work illustrates why predictions with neural networks…