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math.OC2026
Barzilai-Borwein Fails Superlinear Convergence on an Open Set of Quadratics for Every Dimension
Dawei Li, Xiaotian Jiang, Mingyi Hong
Barzilai--Borwein (BB) method has shown strong practical performance in continuous optimization, yet its convergence dynamics remains poorly understood. In particular, a central un…
math.OC2026
On the Nature of Regularity Assumptions in Bilevel Optimization with Constrained Lower-level Problem
Xiaotian Jiang, Chang He, Mingyi Hong +1
In this paper, we study the regularity assumptions commonly adopted in bilevel optimization with constrained lower-level problems, including the linear independence constraint qual…