Yulan Liu

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20232026

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math.NA2024

Computing the Proximal Operator of the $q$ -th Power of the $ℓ_{1, q}$ -norm for Group Sparsity

Rongrong Lin, Shihai Chen, Han Feng +1

In this note, we comprehensively characterize the proximal operator of the $q$ -th power of the $ℓ_{1, q}$ -norm (denoted by $ℓ_{1, q}^{q}$ ) with $0 < q < 1$ by exploiting th…

math.NA2023

On Choosing Initial Values of Iteratively Reweighted $ℓ_{1}$ Algorithms for the Piece-wise Exponential Penalty

Rongrong Lin, Shimin Li, Yulan Liu

Computing the proximal operator of the sparsity-promoting piece-wise exponential (PiE) penalty $1 - e^{- ∣ x ∣/ σ}$ with a given shape parameter $σ > 0$ , which is treated as a popular nonc…

Computing the Proximal Operator of the q-th Power of the ℓ1,q​-norm for Group Sparsity

On Choosing Initial Values of Iteratively Reweighted ℓ1​ Algorithms for the Piece-wise Exponential Penalty

Computing the Proximal Operator of the $q$ -th Power of the $ℓ_{1, q}$ -norm for Group Sparsity

On Choosing Initial Values of Iteratively Reweighted $ℓ_{1}$ Algorithms for the Piece-wise Exponential Penalty