Mingsong Yan

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20242026

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math.OC2026

Unified Ergodic Primal-Dual Gap Rates with Unhalved Primal Stepsizes

Sirong Dai, Ming Yan

We study ergodic primal-dual gap rates for first-order primal-dual methods applied to \[ \min_x f(x)+g(x)+h(Ax), \] where $f$ is smooth and convex, $g$ and $h$ are proper, closed,…

math.OC2024

Inexact FPPA for the $ℓ_{0}$ Sparse Regularization Problem

Ronglong Fang, Yuesheng Xu, Mingsong Yan

We study inexact fixed-point proximity algorithms for solving a class of sparse regularization problems involving the $ℓ_{0}$ norm. Specifically, the $ℓ_{0}$ model has an objecti…

Unified Ergodic Primal-Dual Gap Rates with Unhalved Primal Stepsizes

Inexact FPPA for the ℓ0​ Sparse Regularization Problem

Inexact FPPA for the $ℓ_{0}$ Sparse Regularization Problem