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Non-convex quadratically constrained quadratic programming (QCQP) problems have numerous applications in signal processing, machine learning, and wireless communications, albeit the general QCQP is NP-hard, and several interesting special…

Optimization and Control · Mathematics 2016-09-21 Kejun Huang , Nicholas D. Sidiropoulos

In this paper, an alternating direction method of multipliers based novel distributed wide-area control architecture is proposed for damping the interarea oscillations. In this approach, first, an interconnected power system is divided into…

Systems and Control · Electrical Eng. & Systems 2019-07-16 Abilash Thakallapelli , Sukumar Kamalasadan

Privacy-preserving distributed average consensus has received significant attention recently due to its wide applicability. Based on the achieved performances, existing approaches can be broadly classified into perfect accuracy-prioritized…

Cryptography and Security · Computer Science 2024-07-16 Qiongxiu Li , Jaron Skovsted Gundersen , Milan Lopuhaa-Zwakenberg , Richard Heusdens

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

The alternating direction method of multipliers (ADMM) is widely used to solve large-scale linearly constrained optimization problems, convex or nonconvex, in many engineering fields. However there is a general lack of theoretical…

Optimization and Control · Mathematics 2015-12-01 Mingyi Hong , Zhi-Quan Luo , Meisam Razaviyayn

This paper proposes a proximal variant of the alternating direction method of multipliers (ADMM) for distributed optimization. Although the current versions of ADMM algorithm provide promising numerical results in producing solutions that…

Optimization and Control · Mathematics 2023-09-01 Reza Mirzaeifard , Naveen K. D. Venkategowda , Alexander Jung , Stefan Werner

We describe a novel approach for computing collision-free \emph{global} trajectories for $p$ agents with specified initial and final configurations, based on an improved version of the alternating direction method of multipliers (ADMM).…

Artificial Intelligence · Computer Science 2013-11-19 Jose Bento , Nate Derbinsky , Javier Alonso-Mora , Jonathan Yedidia

Stochastic version of alternating direction method of multiplier (ADMM) and its variants (linearized ADMM, gradient-based ADMM) plays a key role for modern large scale machine learning problems. One example is the regularized empirical risk…

Optimization and Control · Mathematics 2020-03-10 Xiang Zhou , Huizhuo Yuan , Chris Junchi Li , Qingyun Sun

A well-known algorithm in privacy-preserving ML is differentially private stochastic gradient descent (DP-SGD). While this algorithm has been evaluated on text and image data, it has not been previously applied to ads data, which are…

In this work, we consider the distributed optimization problem in which each node has its own convex cost function and can communicate directly only with its neighbors, as determined by a directed communication topology (directed graph or…

Optimization and Control · Mathematics 2021-10-07 Wei Jiang , Themistoklis Charalambous

Directed graphical models (DGMs) are a class of probabilistic models that are widely used for predictive analysis in sensitive domains, such as medical diagnostics. In this paper we present an algorithm for differentially private learning…

Machine Learning · Computer Science 2020-07-14 Amrita Roy Chowdhury , Theodoros Rekatsinas , Somesh Jha

In this paper we develop an accelerated Alternating Direction Method of Multipliers (ADMM) algorithm for solving quadratic programs called superADMM. Unlike standard ADMM QP solvers, superADMM uses a novel dynamic weighting method that…

Optimization and Control · Mathematics 2025-06-16 P. C. N. Verheijen , D. Goswami , M. Lazar

Privacy issues and communication cost are both major concerns in distributed optimization. There is often a trade-off between them because the encryption methods required for privacy-preservation often incur expensive communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-01 Qiongxiu Li , Richard Heusdens , Mads Græsbøll Christensen

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

As deep learning models are usually massive and complex, distributed learning is essential for increasing training efficiency. Moreover, in many real-world application scenarios like healthcare, distributed learning can also keep the data…

Machine Learning · Computer Science 2020-08-24 Jie Xu , Wei Zhang , Fei Wang

The paper presents a distributed model predictive control (DMPC) scheme for continuous-time nonlinear systems based on the alternating direction method of multipliers (ADMM). A stopping criterion in the ADMM algorithm limits the iterations…

Optimization and Control · Mathematics 2017-06-30 Anja Bestler , Knut Graichen

This paper addresses the problem of distributed event localization using noisy range measurements with respect to sensors with known positions. Event localization is fundamental in many wireless sensor network applications such as homeland…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-03 Chunlei Zhang , Yongqiang Wang

Differential privacy (DP) provides a formal privacy guarantee that prevents adversaries with access to machine learning models from extracting information about individual training points. Differentially private stochastic gradient descent…

Cryptography and Security · Computer Science 2022-12-15 Jie Fu , Zhili Chen , XinPeng Ling

Synthetic data from generative models emerges as the privacy-preserving data sharing solution. Such a synthetic data set shall resemble the original data without revealing identifiable private information. Till date, the prior focus on…

Machine Learning · Computer Science 2025-07-23 Chaoyi Zhu , Jiayi Tang , Juan F. Pérez , Marten van Dijk , Lydia Y. Chen

We propose a variant of alternating direction method of multiplier (ADMM) to solve constrained trajectory optimization problems. Our ADMM framework breaks a joint optimization into small sub-problems, leading to a low iteration cost and…

Robotics · Computer Science 2023-02-28 Ruiqi Ni , Zherong Pan , Xifeng Gao
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