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In this paper, we develop a variant of the well-known Gauss-Newton (GN) method to solve a class of nonconvex optimization problems involving low-rank matrix variables. As opposed to the standard GN method, our algorithm allows one to handle…

最优化与控制 · 数学 2020-10-27 Quoc Tran-Dinh

As deep neural networks (DNNs) are increasingly deployed on edge devices, optimizing models for constrained computational resources is critical. Existing auto-pruning methods face challenges due to the diversity of DNN models, various…

人工智能 · 计算机科学 2026-04-21 Lixian Jing , Jianpeng Qi , Junyu Dong , Yanwei Yu

In this paper we consider from two different aspects the proximal alternating direction method of multipliers (ADMM) in Hilbert spaces. We first consider the application of the proximal ADMM to solve well-posed linearly constrained…

最优化与控制 · 数学 2023-10-11 Qinian Jin

The resource requirements of deep neural networks (DNNs) pose significant challenges to their deployment on edge devices. Common approaches to address this issue are pruning and mixed-precision quantization, which lead to latency and memory…

It is widely acknowledged that hyperparameter selection plays a critical role in the effectiveness of sparse optimization problems. The bilevel optimization provides a robust framework for addressing this issue, but these existing methods…

最优化与控制 · 数学 2026-03-11 Yunhai Xiao , Anqi Liu , Peili Li , Yanyun Ding

This paper is concerned with two-block separable convex minimization problems with linear constraints, for which it is either impossible or too expensive to obtain the exact solutions of the subproblems involved in the proximal ADMM…

最优化与控制 · 数学 2015-07-30 Li Shen , Shaohua Pan

The nonconvex and nonsmooth finite-sum optimization problem with linear constraint has attracted much attention in the fields of artificial intelligence, computer, and mathematics, due to its wide applications in machine learning and the…

最优化与控制 · 数学 2023-07-11 Yuxuan Zeng , Zhiguo Wang , Jianchao Bai , Xiaojing Shen

We propose a new relative-error inexact version of the alternating direction method of multipliers (ADMM) for convex optimization. We prove the asymptotic convergence of our main algorithm as well as pointwise and ergodic…

最优化与控制 · 数学 2024-09-17 M. Marques Alves , M. Geremia

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…

最优化与控制 · 数学 2014-09-15 Huahua Wang , Arindam Banerjee , Zhi-Quan Luo

Neural network (NN) designed for challenging machine learning tasks is in general a highly nonlinear mapping that contains massive variational parameters. High complexity of NN, if unbounded or unconstrained, might unpredictably cause…

机器学习 · 计算机科学 2025-05-23 Yong Qing , Ke Li , Peng-Fei Zhou , Shi-Ju Ran

The Alternating Direction Method of Multipliers (ADMM) has been studied for years. The traditional ADMM algorithm needs to compute, at each iteration, an (empirical) expected loss function on all training examples, resulting in a…

机器学习 · 统计学 2014-06-10 Peilin Zhao , Jinwei Yang , Tong Zhang , Ping Li

In this paper, we propose a novel distributed algorithm for consensus optimization over networks and a robust extension tailored to deal with asynchronous agents and packet losses. Indeed, to robustly achieve dynamic consensus on the…

最优化与控制 · 数学 2025-09-04 Guido Carnevale , Nicola Bastianello , Giuseppe Notarstefano , Ruggero Carli

We address the problem of solving convex optimization problems with many convex constraints in a distributed setting. Our approach is based on an extension of the alternating direction method of multipliers (ADMM) that recently gained a lot…

最优化与控制 · 数学 2018-04-09 Joachim Giesen , Sören Laue

We present joint multi-dimension pruning (abbreviated as JointPruning), an effective method of pruning a network on three crucial aspects: spatial, depth and channel simultaneously. To tackle these three naturally different dimensions, we…

计算机视觉与模式识别 · 计算机科学 2021-10-04 Zechun Liu , Xiangyu Zhang , Zhiqiang Shen , Zhe Li , Yichen Wei , Kwang-Ting Cheng , Jian Sun

Quantization is an effective strategy to reduce the storage and computation footprint of large language models (LLMs). Post-training quantization (PTQ) is a leading approach for compressing LLMs. Popular weight quantization procedures,…

机器学习 · 计算机科学 2026-05-13 Ryan Lucas , Mehdi Makni , Xiang Meng , Adam Deng , Rahul Mazumder

Artificial neural networks (ANNs) may not be worth their computational/memory costs when used in mobile phones or embedded devices. Parameter-pruning algorithms combat these costs, with some algorithms capable of removing over 90% of an…

机器学习 · 统计学 2018-05-08 Brian Bartoldson , Adrian Barbu , Gordon Erlebacher

The alternating direction method of multipliers (ADMM) has recently sparked interest as a flexible and efficient optimization tool for imaging inverse problems, namely deconvolution and reconstruction under non-smooth convex regularization.…

最优化与控制 · 数学 2015-06-11 Mariana S. C. Almeida , Mário A. T. Figueiredo

The alternating direction multiplier method (ADMM) is widely used in computer graphics for solving optimization problems that can be nonsmooth and nonconvex. It converges quickly to an approximate solution, but can take a long time to…

最优化与控制 · 数学 2020-06-29 Wenqing Ouyang , Yue Peng , Yuxin Yao , Juyong Zhang , Bailin Deng

Convolutional Neural Networks (CNNs) are hard to deploy on edge devices due to its high computation and storage complexities. As a common practice for model compression, network pruning consists of two major categories: unstructured and…

计算机视觉与模式识别 · 计算机科学 2023-11-30 Yuchuan Tian , Hanting Chen , Tianyu Guo , Chao Xu , Yunhe Wang

Sparse signal recovery based on nonconvex and nonsmooth optimization problems has significant applications and demonstrates superior performance in signal processing and machine learning. This work deals with a scale-invariant…

最优化与控制 · 数学 2025-09-29 Lang Yu , Nanjing Huang