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Support Vector Machine (SVM) is a powerful tool in binary classification, known to attain excellent misclassification rates. On the other hand, many realworld classification problems, such as those found in medical diagnosis, churn or fraud…

机器学习 · 统计学 2023-12-25 Sandra Benítez-Peña , Rafael Blanquero , Emilio Carrizosa , Pepa Ramírez-Cobo

This paper proposes a multiblock alternating direction method of multipliers for solving a class of multiblock nonsmooth nonconvex optimization problem with nonlinear coupling constraints. We employ a majorization minimization procedure in…

最优化与控制 · 数学 2023-12-05 Le Thi Khanh Hien , Dimitri Papadimitriou

In this paper, we show that for a class of linearly constrained convex composite optimization problems, an (inexact) symmetric Gauss-Seidel based majorized multi-block proximal alternating direction method of multipliers (ADMM) is…

最优化与控制 · 数学 2019-01-29 Liang Chen , Xudong Li , Defeng Sun , Kim-Chuan Toh

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…

最优化与控制 · 数学 2020-03-10 Xiang Zhou , Huizhuo Yuan , Chris Junchi Li , Qingyun Sun

This paper is devoted to the design of an efficient and convergent {semi-proximal} alternating direction method of multipliers (ADMM) for finding a solution of low to medium accuracy to convex quadratic conic programming and related…

最优化与控制 · 数学 2014-09-10 Xudong Li , Defeng Sun , Kim-Chuan Toh

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…

最优化与控制 · 数学 2025-06-16 P. C. N. Verheijen , D. Goswami , M. Lazar

The alternating minimization (AM) method is a fundamental method for minimizing convex functions whose variable consists of two blocks. How to efficiently solve each subproblems when applying the AM method is the most concerned task. In…

最优化与控制 · 数学 2015-01-16 Hui Zhang , Lizhi Cheng

This paper proposes a partially inexact alternating direction method of multipliers for computing approximate solution of a linearly constrained convex optimization problem. This method allows its first subproblem to be solved inexactly…

最优化与控制 · 数学 2018-05-21 Vando A. Adona , Max L. N. Goncalves , Jefferson G. Melo

Inspired by the recent advances in deep learning (DL), this work presents a deep neural network aided decoding algorithm for binary linear codes. Based on the concept of deep unfolding, we design a decoding network by unfolding the…

信息论 · 计算机科学 2020-02-19 Yi Wei , Ming-Min Zhao , Min-Jian Zhao , Ming Lei

The support vector machines (SVM) is one of the most widely used and practical optimization based classification models in machine learning because of its interpretability and flexibility to produce high quality results. However, the big…

机器学习 · 计算机科学 2020-11-06 Ehsan Sadrfaridpour , Korey Palmer , Ilya Safro

One of the crucial issues in federated learning is how to develop efficient optimization algorithms. Most of the current ones require full device participation and/or impose strong assumptions for convergence. Different from the widely-used…

最优化与控制 · 数学 2023-09-26 Shenglong Zhou , Geoffrey Ye Li

In this paper, a stochastic alternating direction method of multipliers (ADMM) is proposed for a class of nonsmooth composite and stochastic convex optimization problems in Hilbert space, motivated by optimization problems constrained by…

最优化与控制 · 数学 2026-05-18 Weihua Deng , Haiming Song , Hao Wang , Jinda Yang

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…

系统与控制 · 电气工程与系统科学 2019-07-16 Abilash Thakallapelli , Sukumar Kamalasadan

This paper shows the capability the alternating direction method of multipliers (ADMM) has to track, in a distributed manner, the optimal down-link beam-forming solution in a multiple input multiple output (MISO) multi-cell network given a…

最优化与控制 · 数学 2016-09-12 Marie Maros , Joakim Jaldén

The time complexity of support vector machines (SVMs) prohibits training on huge data sets with millions of data points. Recently, multilevel approaches to train SVMs have been developed to allow for time-efficient training on huge data…

机器学习 · 计算机科学 2020-01-29 Sebastian Schlag , Matthias Schmitt , Christian Schulz

This work presents a new method for online selection of multiple penalty parameters for the alternating direction method of multipliers (ADMM) algorithm applied to optimization problems with multiple constraints or functionals with block…

图像与视频处理 · 电气工程与系统科学 2026-04-21 Luke Lozenski , Michael T. McCann , Brendt Wohlberg

An alternating direction method of multipliers (ADMM) solver is described for optimal resource allocation problems with separable convex quadratic costs and constraints and linear coupling constraints. We describe a parallel implementation…

最优化与控制 · 数学 2019-07-09 Zawar Qureshi , Sebastian East , Mark Cannon

In the present paper we propose a novel convergence analysis of the Alternating Direction Methods of Multipliers (ADMM), based on its equivalence with the overrelaxed Primal-Dual Hybrid Gradient (oPDHG) algorithm. We consider the smooth…

最优化与控制 · 数学 2017-01-19 Pauline Tan

This paper presents a numerical solver for computing continuous trajectories in non-convex environments. Our approach relies on a customized implementation of the Alternating Direction Method of Multipliers (ADMM) built upon two key…

机器人学 · 计算机科学 2026-03-13 Lukas Pries , Jon Arrizabalaga , Zachary Manchester , Markus Ryll

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

最优化与控制 · 数学 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso