Our algorithm takes advantage of genericity properties of polar varieties to avoid computationally difficult steps of quantifier elimination. We also report on ...
May 19, 2015 · We design a probabilistic algorithm which runs in time which is essentially cubic in D d(n−d). Our algorithm takes advantage of gener-icity ...
Quantifier elimination (QE) over the reals plays a central role for computing the real dimension since it allows to ob- tain semi-algebraic descriptions of ...
Apr 6, 2013 · The real dimension is the first topological invariant of interest; it measures the number of degrees of freedom available to move in the set.
Our algorithm takes advantage of genericity properties of polar varieties to avoid computationally difficult steps of quantifier elimination. We also report on ...
Jul 18, 2021 · Safey El Din. "Probabilistic Algorithm for Computing the Dimension of Real Algebraic Sets". In: Proceedings of ISSAC'15. ACM, 2015, pp. 37--44 ...
In mechanism design, mobility properties often translate to identifying the dimension of a real algebraic set, that is the real solution set to polynomial ...
Probabilistic Algorithm for Computing the Dimension of Real Algebraic Sets · Ivan BannwarthM. S. E. Din. Computer Science, Mathematics. ISSAC. 2015. TLDR. A ...
May 21, 2021 · We design an algorithm which on input F computes the dimension of V. Letting L be the evaluation complexity of F and s=1, it runs using O ...
Missing: Probabilistic | Show results with:Probabilistic
Abstract. Let R be a real closed field (e.g. the field of real numbers) and S ⊂ Rn be a semi-algebraic set defined as the set of points in Rn satisfying a ...