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math.OC2025
Interior point methods are not worse than Simplex
Xavier Allamigeon, Daniel Dadush, Georg Loho +2
We develop a new `subspace layered least squares' interior point method (IPM) for solving linear programs. Applied to an -variable linear program in standard form, the iteration…
math.OC2024
On the Correlation Gap of Matroids
Edin HusiÄ, Zhuan Khye Koh, Georg Loho +1
A set function can be extended to the unit cube in various ways; the correlation gap measures the ratio between two natural extensions. This quantity has been identified as the per…
math.OC2024
On Circuit Diameter Bounds via Circuit Imbalances
Daniel Dadush, Zhuan Khye Koh, Bento Natura +1
We study the circuit diameter of polyhedra, introduced by Borgwardt, Finhold, and Hemmecke (SIDMA 2015) as a relaxation of the combinatorial diameter. We show that the circuit diam…