485 citations · 2.2k across the 55 of their papers we have counts for
3 papers · 1 filter
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…
Towards a theory of non-commutative optimization: geodesic first and second order methods for moment maps and polytopes
Peter Bürgisser, Cole Franks, Ankit Garg +3
This paper initiates a systematic development of a theory of non-commutative optimization. It aims to unify and generalize a growing body of work from the past few years which deve…