arXiv:2509.02894v2 Announce Type: replace-cross
Abstract: We propose an inexact proximal augmented Lagrangian method (P-ALM) for nonconvex structured optimization problems. The proposed method featur...
By Adeyemi D. Adeoye, Puya Latafat, Alberto Bemporad
arXiv:2609.13925v1 Announce Type: cross
Abstract: This work studies the stability and convergence of augmented primal-dual dynamics when constraint values are estimated from samples. Unbiased constra...
By Kang Liu, Mengxiao Chen, Siqi Xiong, Yi Xia
arXiv:2610.01662v1 Announce Type: cross
Abstract: We establish complexity lower bounds for stochastic first-order algorithms in nonconvex--concave minimax optimization, allowing algorithms to use var...
By Jiayi Song, Zi Xu
arXiv:2609. 17973v1 Announce Type: cross Abstract: We introduce a new single-loop algorithmic framework for smooth nonconvex--concave minimax optimization.
By Minghao Zhang, Zi Xu
arXiv:2609.00471v1 Announce Type: cross
Abstract: This paper introduces a structural taxonomy for constrained non-convex optimization based on the signature of Lagrange multipliers at KKT stationary...
By Seyed Mohsen Kazemi, Ali Movaghar, Shaahin hessabi
arXiv:2609. 30877v1 Announce Type: cross Abstract: We study whether the linear condition-number dependence in the stochastic complexity of SAPD+ is necessary for nonconvex-strongly-concave minimax optimization.
By Qihao Zhou