On plug-and-play regularization using linear denoisers

RG Gavaskar, CD Athalye… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In plug-and-play (PnP) regularization, the knowledge of the forward model is combined with
a powerful denoiser to obtain state-of-the-art image reconstructions. This is typically done by …

Iteration-complexity analysis of a generalized alternating direction method of multipliers

VA Adona, MLN Gonçalves, JG Melo - Journal of Global Optimization, 2019 - Springer
This paper analyzes the iteration-complexity of a generalized alternating direction method of
multipliers (G-ADMM) for solving separable linearly constrained convex optimization …

Convergence study on the proximal alternating direction method with larger step size

F Ma - Numerical Algorithms, 2020 - Springer
The alternating direction method of multipliers (ADMM) is a popular method for solving
separable convex programs with linear constraints, and its proximal version is an important …

An inexact proximal generalized alternating direction method of multipliers

VA Adona, MLN Gonçalves, JG Melo - Computational Optimization and …, 2020 - Springer
This paper proposes and analyzes an inexact variant of the proximal generalized alternating
direction method of multipliers (ADMM) for solving separable linearly constrained convex …

Some extensions of the operator splitting schemes based on Lagrangian and primal–dual: a unified proximal point analysis

F Xue - Optimization, 2023 - Taylor & Francis
By revisiting some popular operator splitting ideas, we present several classes of splitting
schemes based on the Lagrangian, primal–dual and hybrid formulations, from which can be …

The operator splitting schemes revisited: primal-dual gap and degeneracy reduction by a unified analysis

F Xue - Optimization Letters, 2024 - Springer
We revisit the operator splitting schemes proposed in a recent work of [Some extensions of
the operator splitting schemes based on Lagrangian and primal-dual: A unified proximal …

A partially inexact proximal alternating direction method of multipliers and its iteration-complexity analysis

VA Adona, MLN Gonçalves, JG Melo - Journal of Optimization Theory and …, 2019 - Springer
This paper proposes a partially inexact proximal alternating direction method of multipliers
for computing approximate solutions of a linearly constrained convex optimization problem …

An inexact version of the symmetric proximal ADMM for solving separable convex optimization

VA Adona, MLN Gonçalves - Numerical Algorithms, 2023 - Springer
In this paper, we propose and analyze an inexact version of the symmetric proximal
alternating direction method of multipliers (ADMM) for solving linearly constrained …

An alternating direction method of multipliers with the BFGS update for structured convex quadratic optimization

Y Gu, N Yamashita - Computational and Applied Mathematics, 2021 - Springer
The alternating direction method of multipliers (ADMM) is an effective method for solving
convex problems from a wide range of fields. At each iteration, the classical ADMM solves …

[PDF][PDF] Preconditioned Douglas-Rachford type primal-dual method for solving composite monotone inclusion problems with applications.

Y Yang, Y Tang, M Wen, T Zeng - Inverse Problems & Imaging, 2021 - researchgate.net
This paper is concerned with the monotone inclusion involving the sum of a finite number of
maximally monotone operators and the parallel sum of two maximally monotone operators …