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Related papers: Federated Smoothing ADMM for Localization

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The FedProx algorithm is a simple yet powerful distributed proximal point optimization method widely used for federated learning (FL) over heterogeneous data. Despite its popularity and remarkable success witnessed in practice, the…

Machine Learning · Statistics 2022-06-13 Xiao-Tong Yuan , Ping Li

In this work we focus on the problem of minimizing the sum of convex cost functions in a distributed fashion over a peer-to-peer network. In particular, we are interested in the case in which communications between nodes are prone to…

Optimization and Control · Mathematics 2020-07-24 Nicola Bastianello , Ruggero Carli , Luca Schenato , Marco Todescato

The alternating direction method of multipliers (ADMM) is a popular approach for solving optimization problems that are potentially non-smooth and with hard constraints. It has been applied to various computer graphics applications,…

Graphics · Computer Science 2019-09-04 Juyong Zhang , Yue Peng , Wenqing Ouyang , Bailin Deng

In this paper, the distributed strongly convex optimization problem is studied with spatio-temporal compressed communication and equality constraints. For the case where each agent holds an distributed local equality constraint, a…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Zihao Ren , Lei Wang , Zhengguang Wu , Guodong Shi

In practice, many machine learning (ML) problems come with constraints, and their applied domains involve distributed sensitive data that cannot be shared with others, e.g., in healthcare. Collaborative learning in such practical scenarios…

Machine Learning · Computer Science 2024-05-02 Chuan He , Le Peng , Ju Sun

Smoothing is essential to many oceanographic, meteorological and hydrological applications. The interval smoothing problem updates all desired states within a time interval using all available observations. The fixed-lag smoothing problem…

Chaotic Dynamics · Physics 2015-06-26 S. Ravela , D. McLaughlin

This paper considers a class of structured fractional minimization problems. The numerator consists of a differentiable function, a simple nonconvex nonsmooth function, a concave nonsmooth function, and a convex nonsmooth function composed…

Optimization and Control · Mathematics 2025-04-01 Ganzhao Yuan

This paper explores the challenges of implementing Federated Learning (FL) in practical scenarios featuring isolated nodes with data heterogeneity, which can only be connected to the server through wireless links in an infrastructure-less…

Machine Learning · Computer Science 2023-09-28 Ziba Parsons , Fei Dou , Houyi Du , Zheng Song , Jin Lu

Distributed model fitting refers to the process of fitting a mathematical or statistical model to the data using distributed computing resources, such that computing tasks are divided among multiple interconnected computers or nodes, often…

Computation · Statistics 2024-06-04 Xiaofei Wu , Rongmei Liang , Fabio Roli , Marcello Pelillo , Jing Yuan

Stochastic Approximation (SA) is a popular approach for solving fixed-point equations where the information is corrupted by noise. In this paper, we consider an SA involving a contraction mapping with respect to an arbitrary norm, and show…

Machine Learning · Computer Science 2021-07-01 Zaiwei Chen , Siva Theja Maguluri , Sanjay Shakkottai , Karthikeyan Shanmugam

We present a novel framework, namely AADMM, for acceleration of linearized alternating direction method of multipliers (ADMM). The basic idea of AADMM is to incorporate a multi-step acceleration scheme into linearized ADMM. We demonstrate…

Optimization and Control · Mathematics 2014-02-13 Yuyuan Ouyang , Yunmei Chen , Guanghui Lan , Eduardo Pasiliao

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 paper proposes a Perturbed Proximal Gradient ADMM (PPG-ADMM) framework for solving general nonconvex composite optimization problems, where the objective function consists of a smooth nonconvex term and a nonsmooth weakly convex term…

Optimization and Control · Mathematics 2026-01-06 Yuan Zhou , Xinli Shi , Luyao Guo , Jinde Cao , Mahmoud Abdel-Aty

We consider the problem of rigid registration, where we wish to jointly register multiple point sets via rigid transforms. This arises in applications such as sensor network localization, multiview registration, and protein structure…

Optimization and Control · Mathematics 2019-07-19 Aditya V. Singh , Kunal N. Chaudhury

Federated learning enables training machine learning models while preserving the privacy of participants. Surprisingly, there is no differentially private distributed method for smooth, non-convex optimization problems. The reason is that…

Machine Learning · Computer Science 2025-02-20 Egor Shulgin , Sarit Khirirat , Peter Richtárik

Nonconvex and nonsmooth optimization problems are frequently encountered in much of statistics, business, science and engineering, but they are not yet widely recognized as a technology in the sense of scalability. A reason for this…

Optimization and Control · Mathematics 2018-01-19 Bo Jiang , Tianyi Lin , Shiqian Ma , Shuzhong Zhang

The growing prevalence of nonsmooth optimization problems in machine learning has spurred significant interest in generalized smoothness assumptions. Among these, the (L0, L1)-smoothness assumption has emerged as one of the most prominent.…

Optimization and Control · Mathematics 2026-02-24 Zhirayr Tovmasyan , Grigory Malinovsky , Laurent Condat , Peter Richtárik

In this paper, we design constant modulus probing waveforms with good correlation properties for collocated multi-input multi-output (MIMO) radar systems. The main content is as follows: first, we formulate the design problem as a fourth…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Jiangtao Wang , Yongchao Wang

This paper investigates the distributed stochastic nonconvex and nonsmooth composite optimization problem. Existing stochastic typically rely on uniform step size strictly bounded by global network parameters, such as the maximum node…

Optimization and Control · Mathematics 2026-03-10 Yangming Zhang , Yongyang Xiong , Jinming Xu , Keyou You , Yang Shi

This work proposes a novel convex-non-convex formulation of the image segmentation and the image completion problems. The proposed approach is based on the minimization of a functional involving two distinct regularization terms: one…

Numerical Analysis · Mathematics 2025-09-01 Mohamed El Guide , Anas El Hachimi , Khalide Jbilou , Lothar Reichel