35 citations · 115 across the 10 of their papers we have counts for
4 papers · 1 filter
Dimension-Free Descriptions of Convex Sets
Eitan Levin, Venkat Chandrasekaran
Convex sets arising in a variety of applications are well-defined for every relevant dimension. Examples include the simplex and the spectraplex that correspond to probability dist…
The effect of smooth parametrizations on nonconvex optimization landscapes
Eitan Levin, Joe Kileel, Nicolas Boumal
We develop new tools to study landscapes in nonconvex optimization. Given one optimization problem, we pair it with another by smoothly parametrizing the domain. This is either for…
Finding stationary points on bounded-rank matrices: A geometric hurdle and a smooth remedy
Eitan Levin, Joe Kileel, Nicolas Boumal
We consider the problem of provably finding a stationary point of a smooth function to be minimized on the variety of bounded-rank matrices. This turns out to be unexpectedly delic…
3D ab initio modeling in cryo-EM by autocorrelation analysis
Eitan Levin, Tamir Bendory, Nicolas Boumal +2
Single-Particle Reconstruction (SPR) in Cryo-Electron Microscopy (cryo-EM) is the task of estimating the 3D structure of a molecule from a set of noisy 2D projections, taken from u…