3 papers
cs.DS2026
Beyond Smoothed Analysis: Analyzing the Simplex Method by the Book
Eleon Bach, Alexander E. Black, Sophie Huiberts +1
Narrowing the gap between theory and practice is a longstanding goal of the algorithm analysis community. To further progress our understanding of how algorithms work in practice,…
cs.DS2026
Optimal Smoothed Analysis of the Simplex Method
Eleon Bach, Sophie Huiberts
Smoothed analysis is a method for analyzing the performance of algorithms, used especially for those algorithms whose running time in practice is significantly better than what can…
cs.DM2025
An unconditional lower bound for the active-set method in convex quadratic maximization
Eleon Bach, Yann Disser, Sophie Huiberts +1
We prove that the active-set method needs an exponential number of iterations in the worst-case to maximize a convex quadratic function subject to linear constraints, regardless of…