The primitive operation, used as black box in all stages of the algorithm, is the violation test primitive. Definition 10. Given a violator space ...

Mar 30, 2015 · Title:Random Sampling in Computational Algebra: Helly Numbers and Violator Spaces. Authors:Jesús A. De Loera, Sonja Petrović, Despina Stasi.

The cornerstone of our work is showing that the theory of violator spaces of Gärtner et al. applies to polynomial ideal problems. To show this, one utilizes a ...

Random Sampling in Computational Algebra: Helly Numbers and Violator Spaces ... Abstract. This paper transfers a randomized algorithm, originally used in ...

Abstract. This paper transfers a randomized algorithm originally used in geometric optimization to computational commutative algebra.

Aug 29, 2022 · The cornerstone of our work is showing that the theory of violator spaces of G\"artner et al. applies to these polynomial ideal problems. The ...

We show that two polynomial ideal problems can be formulated to fit into the Violator Space framework, thus enabling us to apply Clarkson's algorithm to solve ...

De Loera, Jesús A.; Petrović, Sonja; Stasi, Despina. (2015). Random sampling in computational algebra: Helly numbers and violator spaces.

Random Sampling in Computational Algebra: Helly Numbers and Violator Spaces ... Abstract: This paper transfers a randomized algorithm originally used in geometric ...

Bibliographic details on Random sampling in computational algebra: Helly numbers and violator spaces.