arxivcs.DScs.CGcs.LGstat.ML2026-07-03
Dimension Reduction for Curves: Simplified and Generalized
Matthijs Ebbens, Jie Lu, Alexander Munteanu
We revisit random projections for reducing the dimension of high-dimensional polygonal curves. Drawing from the toolbox of randomized linear algebra, we give a considerably simplified proof of the known $O(\varepsilon^{-2}\log(nm))$ bound on the target dimension of a random proje…