Whitney's Theorem, Triangular Sets and Probabilistic Descent on Manifolds

Autor: Dreisigmeyer, David W.
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: We examine doing probabilistic descent over manifolds implicitly defined by a set of polynomials with rational coefficients. The system of polynomials is assumed to be triangularized. An application of Whitney's embedding theorem allows us to work in a reduced dimensional embedding space. A numerical continuation method applied to the reduced-dimensional embedded manifold is used to drive the procedure.
Databáze: arXiv