Guiyun Xiao

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20202026

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math.OC2026

An augmented Lagrangian method with exact multipliers for non-separable composite $ℓ_{0}$ - $ℓ_{2}$ regularization

Huan Ren, Guiyun Xiao

This paper studies a non-separable composite $ℓ_{0}$ - $ℓ_{2}$ regularization model that simultaneously enforces sparsity and smoothness for inverse problems. The $ℓ_{0}$ norm ind…

math.OC2021

A geometric proximal gradient method for sparse least squares regression with probabilistic simplex constraint

Guiyun Xiao, Zheng-Jian Bai

In this paper, we consider the sparse least squares regression problem with probabilistic simplex constraint. Due to the probabilistic simplex constraint, one could not apply the L…

An augmented Lagrangian method with exact multipliers for non-separable composite ℓ0​-ℓ2​ regularization

A geometric proximal gradient method for sparse least squares regression with probabilistic simplex constraint

An augmented Lagrangian method with exact multipliers for non-separable composite $ℓ_{0}$ - $ℓ_{2}$ regularization