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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

Automated machine learning (AutoML) has emerged as a promising paradigm for automating machine learning (ML) pipeline design, broadening AI adoption. Yet its reliability in complex domains such as cybersecurity remains underexplored. This…

Cryptography and Security · Computer Science 2025-09-30 Sherif Saad , Kevin Shi , Mohammed Mamun , Hythem Elmiligi

The Alternating Direction Method of Multipliers (ADMM) has gained significant attention across a broad spectrum of machine learning applications. Incorporating the over-relaxation technique shows potential for enhancing the convergence rate…

Optimization and Control · Mathematics 2024-01-02 Jintao Song , Wenqi Lu , Yunwen Lei , Yuchao Tang , Zhenkuan Pan , Jinming Duan

The realization that AI-driven decision-making is indispensable in today's fast-paced and ultra-competitive marketplace has raised interest in industrial machine learning (ML) applications significantly. The current demand for analytics…

Machine Learning · Computer Science 2025-06-03 Marc Schmitt

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

Automatic machine learning, or AutoML, holds the promise of truly democratizing the use of machine learning (ML), by substantially automating the work of data scientists. However, the huge combinatorial search space of candidate pipelines…

Machine Learning · Computer Science 2022-04-21 Ripon K. Saha , Akira Ura , Sonal Mahajan , Chenguang Zhu , Linyi Li , Yang Hu , Hiroaki Yoshida , Sarfraz Khurshid , Mukul R. Prasad

Automatic performance tuning (auto-tuning) is essential for optimizing high-performance applications, where vast and irregular search spaces make manual exploration infeasible. While auto-tuners traditionally rely on classical approaches…

Machine Learning · Computer Science 2026-04-01 Floris-Jan Willemsen , Niki van Stein , Ben van Werkhoven

We present AutoSiMP, an autonomous pipeline that transforms a natural-language structural problem description into a validated, binary topology without manual configuration. The pipeline comprises five modules: (1) an LLM-based configurator…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Shaoliang Yang , Jun Wang , Yunsheng Wang

This paper introduces a novel approach to solving multi-block nonconvex composite optimization problems through a proximal linearized Alternating Direction Method of Multipliers (ADMM). This method incorporates an Increasing Penalization…

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

This paper presents HUANet, a constrained deep neural network architecture that unrolls the iterations of the Alternating Direction Method of Multipliers (ADMM) into a trainable neural network for solving constrained convex optimization…

Optimization and Control · Mathematics 2026-04-16 Trinh Tran , Binh Nguyen , Truong X. Nghiem

We study the solution of block-structured linear algebra systems arising in optimization by using iterative solution techniques. These systems are the core computational bottleneck of many problems of interest such as parameter estimation,…

Optimization and Control · Mathematics 2019-09-10 Jose S. Rodriguez , Carl D. Laird , Victor M. Zavala

The alternating direction method of multipliers (ADMM) is commonly used for distributed model fitting problems, but its performance and reliability depend strongly on user-defined penalty parameters. We study distributed ADMM methods that…

Machine Learning · Computer Science 2017-06-21 Zheng Xu , Gavin Taylor , Hao Li , Mario Figueiredo , Xiaoming Yuan , Tom Goldstein

We present a flexible Alternating Direction Method of Multipliers (F-ADMM) algorithm for solving optimization problems involving a strongly convex objective function that is separable into $n \geq 2$ blocks, subject to (non-separable)…

Optimization and Control · Mathematics 2015-03-24 Daniel P. Robinson , Rachael E. H. Tappenden

One potential future for the next generation of smart grids is the use of decentralized optimization algorithms and secured communications for coordinating renewable generation (e.g., wind/solar), dispatchable devices (e.g.,…

Systems and Control · Electrical Eng. & Systems 2023-01-24 Terrence W. K. Mak , Minas Chatzos , Mathieu Tanneau , Pascal Van Hentenryck

In this paper, we review the parallel and distributed optimization algorithms based on the alternating direction method of multipliers (ADMM) for solving "big data" optimization problems in modern communication networks. We first introduce…

Numerical Analysis · Computer Science 2015-04-09 Lanchao Liu , Zhu Han

The parallel alternating direction method of multipliers (ADMM) algorithms have gained popularity in statistics and machine learning due to their efficient handling of large sample data problems. However, the parallel structure of these…

Statistics Theory · Mathematics 2024-04-11 Xiaofei Wu , Jiancheng Jiang , Zhimin Zhang

We propose an AutoML system that enables model selection on clustering problems by leveraging optimal transport-based dataset similarity. Our objective is to establish a comprehensive AutoML pipeline for clustering problems and provide…

Machine Learning · Computer Science 2024-07-17 Prabhant Singh , Pieter Gijsbers , Murat Onur Yildirim , Elif Ceren Gok , Joaquin Vanschoren

An inexact accelerated stochastic Alternating Direction Method of Multipliers (AS-ADMM) scheme is developed for solving structured separable convex optimization problems with linear constraints. The objective function is the sum of a…

Optimization and Control · Mathematics 2020-10-27 Jianchao Bai , William W. Hager , Hongchao Zhang

Automated Machine Learning (AutoML) automatically builds machine learning (ML) models on data. The de facto standard for evaluating new AutoML frameworks for tabular data is the AutoML Benchmark (AMLB). AMLB proposed to evaluate AutoML…

Machine Learning · Computer Science 2025-04-16 Israel Campero Jurado , Pieter Gijsbers , Joaquin Vanschoren

The explosion of digital data has created multiple opportunities for organizations and individuals to leverage machine learning (ML) to transform the way they operate. However, the shortage of experts in the field of machine learning --…

Machine Learning · Computer Science 2019-11-21 Doron Laadan , Roman Vainshtein , Yarden Curiel , Gilad Katz , Lior Rokach
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