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math.OC2026
Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization
Kuangyu Ding, Kim-Chuan Toh
Sequence convergence to a boundary Karush--Kuhn--Tucker (KKT) point has long remained unclear for nonconvex mirror descent with Legendre kernels. The difficulty arises from the blo…
math.OC2026
Non-KKT Accumulation in Entropic Mirror Descent
Kuangyu Ding, Kim-Chuan Toh
For mirror descent generated by a Legendre kernel, perhaps one of the most basic question in optimization is this: must every accumulation point of a bounded mirror descent sequenc…