Learning algebraic varieties from samples

By Paul Breiding, Sara Kališnik, Bernd Sturmfels, Madeleine Weinstein. Revista Matemática Complutense, 2018

56 citations recorded by the source corpus.

We seek to determine a real algebraic variety from a fixed finite subset of points. Existing methods are studied and new methods are developed. Our focus lies on aspects of topology and algebraic geometry, such as dimension and defining polynomials. All algorithms are tested on a range of datasets and made available in a Julia package.

Subfields: Computational Theory and Mathematics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/743810b12a28f4867280236251faca5b6b3315b2