64 citations · 414 across the 34 of their papers we have counts for
3 papers · 1 filter
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…
Probabilistic analysis of the Grassmann condition number
Dennis Amelunxen, Peter Bürgisser
We analyze the probability that a random m-dimensional linear subspace of R^n both intersects a regular closed convex cone C\subseteq R^n and lies within distance αof an m-dimensio…