2 papers
math.AG2023
Robust geometric modeling of 3-periodic tensegrity frameworks using Riemannian optimization
Matthias Himmelmann, Myfanwy E. Evans
Framework materials and their deformations provide a compelling relation between materials science and algebraic geometry. Physical distance constraints within the material transfo…
math.ST2022
Computing Euclidean distance and maximum likelihood retraction maps for constrained optimization
Alexander Heaton, Matthias Himmelmann
Riemannian optimization uses local methods to solve optimization problems whose constraint set is a smooth manifold. A linear step along some descent direction usually leaves the c…