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This paper develops an adaptive proximal alternating direction method of multipliers (ADMM) for solving linearly constrained, composite optimization problems under the assumption that the smooth component of the objective is weakly convex,…

Optimization and Control · Mathematics 2026-05-04 Leandro Farias Maia , David H. Gutman , Renato D. C. Monteiro , Gilson N. Silva

Diffusion models, as powerful generative models, have found a wide range of applications and shown great potential in solving image reconstruction problems. Some works attempted to solve MRI reconstruction with diffusion models, but these…

Image and Video Processing · Electrical Eng. & Systems 2025-06-09 Xingjian Tang , Jingwei Guan , Linge Li , Ran Shi , Youmei Zhang , Mengye Lyu , Li Yan

Although signal distortion-based peak-to-average power ratio (PAPR) reduction is a feasible candidate for orthogonal frequency division multiplexing (OFDM) to meet standard/regulatory requirements, the error vector magnitude (EVM) stemming…

Signal Processing · Electrical Eng. & Systems 2022-05-26 Shashi Kant , Mats Bengtsson , Gabor Fodor , Bo Göransson , Carlo Fischione

We develop a new consensus-based distributed algorithm for solving learning problems with feature partitioning and non-smooth convex objective functions. Such learning problems are not separable, i.e., the associated objective functions…

Signal Processing · Electrical Eng. & Systems 2022-08-25 Cristiano Gratton , Naveen K. D. Venkategowda , Reza Arablouei , Stefan Werner

Conventional tomographic reconstruction typically depends on centralized servers for both data storage and computation, leading to concerns about memory limitations and data privacy. Distributed reconstruction algorithms mitigate these…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-10 Runxuan Miao , Selin Aslan , Erdem Koyuncu , Doğa Gürsoy

We consider the problem of minimizing block-separable convex functions subject to linear constraints. While the Alternating Direction Method of Multipliers (ADMM) for two-block linear constraints has been intensively studied both…

Optimization and Control · Mathematics 2014-09-15 Huahua Wang , Arindam Banerjee , Zhi-Quan Luo

The complementary fusion of light detection and ranging (LiDAR) data and image data is a promising but challenging task for generating high-precision and high-density point clouds. This study proposes an innovative LiDAR-guided stereo…

Computer Vision and Pattern Recognition · Computer Science 2022-02-25 Yongjun Zhang , Siyuan Zou , Xinyi Liu , Xu Huang , Yi Wan , Yongxiang Yao

In this letter, we propose a peak-to-average power ratio (PAPR) efficient non-coherent orthogonal frequency division multiplexing with index modulation (OFDM-IM). It is shown that the non-coherent OFDM-IM design, which minimizes PAPR, is a…

Signal Processing · Electrical Eng. & Systems 2019-10-11 Sarath Gopi , Sheetal Kalyani

We investigate the techniques and ideas used in the convergence analysis of two proximal ADMM algorithms for solving convex optimization problems involving compositions with linear operators. Besides this, we formulate a variant of the ADMM…

Optimization and Control · Mathematics 2019-12-20 Sebastian Banert , Radu Ioan Bot , Ernö Robert Csetnek

This paper proposes and analyzes a dampened proximal alternating direction method of multipliers (DP.ADMM) for solving linearly-constrained nonconvex optimization problems where the smooth part of the objective function is nonseparable.…

Optimization and Control · Mathematics 2023-01-05 Weiwei Kong , Renato D. C. Monteiro

This dissertation explores block decomposable methods for large-scale optimization problems. It focuses on alternating direction method of multipliers (ADMM) schemes and block coordinate descent (BCD) methods. Specifically, it introduces a…

Optimization and Control · Mathematics 2026-01-15 Leandro Farias Maia

This paper aims to develop distributed algorithms for nonconvex optimization problems with complicated constraints associated with a network. The network can be a physical one, such as an electric power network, where the constraints are…

Optimization and Control · Mathematics 2022-11-21 Kaizhao Sun , X. Andy Sun

This paper proposes SMADMM, a single-loop Stochastic Momentum Alternating Direction Method of Multipliers for solving a class of nonconvex and nonsmooth composite optimization problems. SMADMM achieves the optimal oracle complexity of…

Optimization and Control · Mathematics 2025-04-22 Kangkang Deng , Shuchang Zhang , Boyu Wang , Jiachen Jin , Juan Zhou , Hongxia Wang

In ptychography experiments, redundant scanning is usually required to guarantee the stable recovery, such that a huge amount of frames are generated, and thus it poses a great demand of parallel computing in order to solve this large-scale…

Numerical Analysis · Mathematics 2021-02-05 Huibin Chang , Roland Glowinski , Stefano Marchesini , Xue-cheng Tai , Yang Wang , Tieyong Zeng

We consider a class of integer-constrained optimization problems governed by partial differential equation (PDE) constraints and regularized via total variation (TV) in the context of topology optimization. The presence of discrete design…

Optimization and Control · Mathematics 2025-09-25 Harsh Choudhary , Sven Leyffer , Dominic Yang

There is a demand for the same data content from several user equipments (UEs) in many wireless communication applications. Physical-layer multicasting combines the beamforming capability of massive MIMO (multiple-input multiple-output) and…

Signal Processing · Electrical Eng. & Systems 2025-04-09 Mahmoud Zaher , Emil Björnson

This work proposes a method for solving linear stochastic optimal control (SOC) problems using sum of squares and semidefinite programming. Previous work had used polynomial optimization to approximate the value function, requiring a high…

Optimization and Control · Mathematics 2014-09-23 Matanya B. Horowitz , Ivan Papusha , Joel W. Burdick

In this paper, we consider the problem of distributed optimisation of a separable convex cost function over a graph, where every edge and node in the graph could carry both linear equality and/or inequality constraints. We show how to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-20 Richard Heusdens , Guoqiang Zhang

Image fusion aims at estimating a high-resolution spectral image from a low-spatial-resolution hyperspectral image and a low-spectral-resolution multispectral image. In this regard, compressive spectral imaging (CSI) has emerged as an…

Image and Video Processing · Electrical Eng. & Systems 2021-08-04 Juan Marcos Ramírez , José Ignacio Martínez Torre , Henry Arguello Fuentes

We address the problem of autonomous tracking and state estimation for marine vessels, autonomous vehicles, and other dynamic signals under a (structured) sparsity assumption. The aim is to improve the tracking and estimation accuracy with…

Methodology · Statistics 2021-06-01 Rui Gao , Simo Särkkä , Rubén Claveria-Vega , Simon Godsill