14 citations · 34 across the 12 of their papers we have counts for
3 papers · 1 filter
Negative curvature obstructs the existence of good barriers for interior-point methods
Christopher Criscitiello, Harold Nieuwboer, Michael Walter
Interior-point methods (IPMs) are a cornerstone of Euclidean convex optimization, due to their strong theoretical guarantees and practical performance. Motivated by scaling problem…
Interior-point methods on manifolds: theory and applications
Hiroshi Hirai, Harold Nieuwboer, Michael Walter
Interior-point methods offer a highly versatile framework for convex optimization that is effective in theory and practice. A key notion in their theory is that of a self-concordan…
Interior-point methods for unconstrained geometric programming and scaling problems
Peter Bürgisser, Yinan Li, Harold Nieuwboer +1
We provide a condition-based analysis of two interior-point methods for unconstrained geometric programs, a class of convex programs that arise naturally in applications including…