• Corpus ID: 246634499

Conditional Gradients for the Approximately Vanishing Ideal

@article{Wirth2022ConditionalGF,
  title={Conditional Gradients for the Approximately Vanishing Ideal},
  author={Elias Samuel Wirth and Sebastian Pokutta},
  journal={ArXiv},
  year={2022},
  volume={abs/2202.03349}
}
The vanishing ideal of a set of points X ⊆ R n is the set of polynomials that evaluate to 0 over all points x ∈ X and admits an efficient representation by a finite set of polynomials called generators. To accommodate the noise in the data set, we introduce the Conditional Gradients Approximately Vanishing Ideal algorithm ( CGAVI ) for the construction of the set of generators of the approximately vanishing ideal. The constructed set of generators captures polynomial structures in data and gives… 

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