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We consider the problem of inferring the conditional independence graph (CIG) of high-dimensional Gaussian vectors from multi-attribute data. Most existing methods for graph estimation are based on single-attribute models where one…

Machine Learning · Statistics 2025-05-20 Jitendra K Tugnait

This paper introduces a dual-regularized ADMM approach to distributed, time-varying optimization. The proposed algorithm is designed in a prediction-correction framework, in which the computing nodes predict the future local costs based on…

Optimization and Control · Mathematics 2024-05-07 Nicola Bastianello , Andrea Simonetto , Ruggero Carli

We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there…

Optimization and Control · Mathematics 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

Systems and Control · Computer Science 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

Data explosion and an increase in model size drive the remarkable advances in large-scale machine learning, but also make model training time-consuming and model storage difficult. To address the above issues in the distributed model…

Machine Learning · Computer Science 2022-08-12 Ke Xu , Jianqiao Wangni , Yifan Zhang , Deheng Ye , Jiaxiang Wu , Peilin Zhao

In this paper, we design an efficient quadrature amplitude modulation (QAM) signal detector for massive multiple-input multiple-output (MIMO) communication systems via the penalty-sharing alternating direction method of multipliers…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Quan Zhang , Jiangtao Wang , Yongchao Wang

The generalized alternating direction method of multipliers (ADMM) of Xiao et al. [{\tt Math. Prog. Comput., 2018}] aims at the two-block linearly constrained composite convex programming problem, in which each block is in the form of…

Optimization and Control · Mathematics 2022-04-05 Hongwu Li , Haibin Zhang , Yunhai Xiao

In compressed sensing, the sensing matrix is assumed perfectly known. However, there exists perturbation in the sensing matrix in reality due to sensor offsets or noise disturbance. Directions-of-arrival (DoA) estimation with off-grid…

Signal Processing · Electrical Eng. & Systems 2019-06-04 Cheng-Yu Hung , Mostafa Kaveh

The alternating direction method of multipliers (ADMM) has been widely adopted in low-rank approximation and low-order model identification tasks; however, the performance of nonconvex ADMM is highly reliant on the choice of penalty…

Optimization and Control · Mathematics 2023-09-11 Qingyuan Liu , Zhengchao Huang , Hao Ye , Dexian Huang , Chao Shang

This paper considers estimation and model selection of quantile vector autoregression (QVAR). Conventional quantile regression often yields undesirable crossing quantile curves, violating the monotonicity of quantiles. To address this…

Methodology · Statistics 2026-03-02 Tomohiro Ando , Tadao Hoshino , Ruey Tsay

Minimax problems have recently attracted a lot of research interests. A few efforts have been made to solve decentralized nonconvex strongly-concave (NCSC) minimax-structured optimization; however, all of them focus on smooth problems with…

Optimization and Control · Mathematics 2023-04-06 Yangyang Xu

We study a class of distributed optimization problems for multiple shared resource allocation in Internet-connected devices. We propose a derandomized version of an existing stochastic additive-increase and multiplicative-decrease (AIMD)…

Systems and Control · Computer Science 2023-10-18 Syed Eqbal Alam , Robert Shorten , Fabian Wirth , Jia Yuan Yu

When approximating the expectations of a functional of a solution to a stochastic differential equation, the numerical performance of deterministic quadrature methods, such as sparse grid quadrature and quasi-Monte Carlo (QMC) methods, may…

Computational Finance · Quantitative Finance 2022-11-24 Christian Bayer , Chiheb Ben Hammouda , Raúl Tempone

Alternating direction method of multipliers (ADMM) is a popular optimization tool for the composite and constrained problems in machine learning. However, in many machine learning problems such as black-box attacks and bandit feedback, ADMM…

Optimization and Control · Mathematics 2019-07-31 Feihu Huang , Shangqian Gao , Songcan Chen , Heng Huang

We propose a new method for solving the semidefinite (SD) relaxation of the quadratic assignment problem (QAP), called Centering ADMM. Centering ADMM is an alternating direction method of multipliers (ADMM) combining the centering steps…

Optimization and Control · Mathematics 2024-01-08 Shin-ichi Kanoh , Akiko Yoshise

As an extension of the alternating direction method of multipliers (ADMM), the semi-proximal ADMM (sPADMM) has been widely used in various fields due to its flexibility and robustness. In this paper, we first show that the two-block sPADMM…

Optimization and Control · Mathematics 2025-05-28 Peng Liu , Liang Chen , Minru Bai

Derivatives of differential equation solutions are commonly for parameter estimation, fitting neural differential equations, and as model diagnostics. However, with a litany of choices and a Cartesian product of potential methods, it can be…

Numerical Analysis · Computer Science 2021-07-21 Yingbo Ma , Vaibhav Dixit , Mike Innes , Xingjian Guo , Christopher Rackauckas

Quantile regression (QR) can be used to describe the comprehensive relationship between a response and predictors. Prior domain knowledge and assumptions in application are usually formulated as constraints of parameters to improve the…

Computation · Statistics 2023-05-15 Yongxin Liu , Peng Zeng

Decentralized stochastic gradient descent (D-SGD) allows collaborative learning on massive devices simultaneously without the control of a central server. However, existing theories claim that decentralization invariably undermines…

Machine Learning · Computer Science 2023-11-10 Tongtian Zhu , Fengxiang He , Kaixuan Chen , Mingli Song , Dacheng Tao

The Alternating Direction Method of Multipliers (ADMM) has been proved to be effective for solving separable convex optimization subject to linear constraints. In this paper, we propose a Generalized Symmetric ADMM (GS-ADMM), which updates…

Optimization and Control · Mathematics 2018-12-11 Jianchao Bai , Jicheng Li , Fengmin Xu , Hongchao Zhang