Corpus ID: 235359125

Learning a performance metric of Buchberger's algorithm

@article{Mojsilovic2021LearningAP,
  title={Learning a performance metric of Buchberger's algorithm},
  author={Jelena Mojsilovi'c and Dylan Peifer and Sonja Petrovi'c},
  journal={ArXiv},
  year={2021},
  volume={abs/2106.03676}
}
What can be (machine) learned about the complexity of Buchberger’s algorithm? Given a system of polynomials, Buchberger’s algorithm computes a Gröbner basis of the ideal these polynomials generate using an iterative procedure based on multivariate long division. The runtime of each step of the algorithm is typically dominated by a series of polynomial additions, and the total number of these additions is a hardware independent performance metric that is often used to evaluate and optimize… Expand

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