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We analyze the convergence rate of the alternating direction method of multipliers (ADMM) for minimizing the sum of two or more nonsmooth convex separable functions subject to linear constraints. Previous analysis of the ADMM typically…

Optimization and Control · Mathematics 2013-03-27 Mingyi Hong , Zhi-Quan Luo

Pruning large language models (LLMs) is a challenging task due to their enormous size. The primary difficulty is fine-tuning the model after pruning, which is needed to recover the lost performance caused by dropping weights. Recent…

Computation and Language · Computer Science 2024-07-23 Vladimír Boža

This paper considers a convex optimization problem with cost and constraints that evolve over time. The function to be minimized is strongly convex and possibly non-differentiable, and variables are coupled through linear constraints. In…

Systems and Control · Electrical Eng. & Systems 2021-01-13 Yijian Zhang , Emiliano Dall'Anese , Mingyi Hong

Pruning large neural networks while maintaining their performance is often desirable due to the reduced space and time complexity. In existing methods, pruning is done within an iterative optimization procedure with either heuristically…

Computer Vision and Pattern Recognition · Computer Science 2019-02-26 Namhoon Lee , Thalaiyasingam Ajanthan , Philip H. S. Torr

Recent advances in neural-network architecture allow for seamless integration of convex optimization problems as differentiable layers in an end-to-end trainable neural network. Integrating medium and large scale quadratic programs into a…

Optimization and Control · Mathematics 2021-12-15 Andrew Butler , Roy Kwon

Neural network pruning with suitable retraining can yield networks with considerably fewer parameters than the original with comparable degrees of accuracy. Typical pruning methods require large, fully trained networks as a starting point…

Machine Learning · Computer Science 2020-10-13 Timothy Foldy-Porto , Yeshwanth Venkatesha , Priyadarshini Panda

Current structural pruning methods face two significant limitations: (i) they often limit pruning to finer-grained levels like channels, making aggressive parameter reduction challenging, and (ii) they focus heavily on parameter and FLOP…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Xinglong Sun , Barath Lakshmanan , Maying Shen , Shiyi Lan , Jingde Chen , Jose M. Alvarez

Pruning the parameters and structure of neural networks reduces the computational complexity, energy consumption, and latency during inference. Recently, a novel underlying mechanism for successful deep learning (DL) was presented based on…

Machine Learning · Computer Science 2025-06-13 Yarden Tzach , Yuval Meir , Ronit D. Gross , Ofek Tevet , Ella Koresh , Ido Kanter

The success of convolutional neural networks (CNNs) in computer vision applications has been accompanied by a significant increase of computation and memory costs, which prohibits its usage on resource-limited environments such as mobile or…

Computer Vision and Pattern Recognition · Computer Science 2019-03-25 Shaohui Lin , Rongrong Ji , Yuchao Li , Cheng Deng , Xuelong Li

Magnitude-based pruning is one of the simplest methods for pruning neural networks. Despite its simplicity, magnitude-based pruning and its variants demonstrated remarkable performances for pruning modern architectures. Based on the…

Machine Learning · Computer Science 2020-02-17 Sejun Park , Jaeho Lee , Sangwoo Mo , Jinwoo Shin

Deep Neural Networks have been used in a wide variety of applications with significant success. However, their highly complex nature owing to comprising millions of parameters has lead to problems during deployment in pipelines with low…

Machine Learning · Computer Science 2022-08-15 Elvis Johnson , Xiaochen Tang , Sriramacharyulu Samudrala

This paper presents a novel algorithm for recovering missing data of phasor measurement units (PMUs). Due to the low-rank property of PMU data, missing measurement recovery can be formulated as a low-rank matrix-completion problem. Based on…

Numerical Analysis · Computer Science 2017-11-09 Mang Liao , Di Shi , Zhe Yu , Wendong Zhu , Zhiwei Wang , Yingmeng Xiang

As Deep Neural Networks (DNNs) usually are overparameterized and have millions of weight parameters, it is challenging to deploy these large DNN models on resource-constrained hardware platforms, e.g., smartphones. Numerous network…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Peng Hu , Xi Peng , Hongyuan Zhu , Mohamed M. Sabry Aly , Jie Lin

From a dual perspective of the sparse representation model, Nam et al. proposed the cosparse analysis model. In this paper, we aim to investigate the convergence of the alternating direction method of multipliers (ADMM) for the cosparse…

Optimization and Control · Mathematics 2023-11-23 Zisheng Liu , Ting Zhang

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

Channel pruning has been broadly recognized as an effective technique to reduce the computation and memory cost of deep convolutional neural networks. However, conventional pruning methods have limitations in that: they are restricted to…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Zejiang Hou , Minghai Qin , Fei Sun , Xiaolong Ma , Kun Yuan , Yi Xu , Yen-Kuang Chen , Rong Jin , Yuan Xie , Sun-Yuan Kung

In this paper, we aim to provide a comprehensive analysis on the linear rate convergence of the alternating direction method of multipliers (ADMM) for solving linearly constrained convex composite optimization problems. Under a certain…

Optimization and Control · Mathematics 2015-08-11 Deren Han , Defeng Sun , Liwei Zhang

The success of convolutional neural networks (CNNs) in various applications is accompanied by a significant increase in computation and parameter storage costs. Recent efforts to reduce these overheads involve pruning and compressing the…

This paper considers the problem of distributed model fitting using the alternating directions method of multipliers (ADMM). ADMM splits the learning problem into several smaller subproblems, usually by partitioning the data samples. The…

Optimization and Control · Mathematics 2022-03-04 Dinesh Krishnamoorthy , Vyacheslav Kungurtsev

This paper presents a dynamic network rewiring (DNR) method to generate pruned deep neural network (DNN) models that are robust against adversarial attacks yet maintain high accuracy on clean images. In particular, the disclosed DNR method…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Souvik Kundu , Mahdi Nazemi , Peter A. Beerel , Massoud Pedram