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Channel pruning is one of the major compression approaches for deep neural networks. While previous pruning methods have mostly focused on identifying unimportant channels, channel pruning is considered as a special case of neural…

Computer Vision and Pattern Recognition · Computer Science 2021-09-15 Xiangcheng Liu , Jian Cao , Hongyi Yao , Wenyu Sun , Yuan Zhang

Stochastic gradient descent (SGD) and its many variants are the widespread optimization algorithms for training deep neural networks. However, SGD suffers from inevitable drawbacks, including vanishing gradients, lack of theoretical…

Machine Learning · Computer Science 2024-01-09 Zeinab Ebrahimi , Gustavo Batista , Mohammad Deghat

Identifying the discontinuous diffusion coefficient in an elliptic equation with observation data of the gradient of the solution is an important nonlinear and ill-posed inverse problem. Models with total variational (TV) regularization…

Numerical Analysis · Mathematics 2021-09-01 Wenyi Tian , Xiaoming Yuan , Hangrui Yue

We introduce a DNN training technique that learns only a fraction of the full parameter set without incurring an accuracy penalty. To do this, our algorithm constrains the total number of weights updated during backpropagation to those with…

Machine Learning · Computer Science 2019-11-26 Maximilian Golub , Guy Lemieux , Mieszko Lis

We study a class of structured convex optimization problems, which have a two-block separable objective and nonlinear functional constraints as well as affine constraints that couple the two block variables. Such problems naturally arise…

Optimization and Control · Mathematics 2026-02-27 Zhengjie Xiong , Yangyang Xu

Structured weight pruning is a representative model compression technique of DNNs to reduce the storage and computation requirements and accelerate inference. An automatic hyperparameter determination process is necessary due to the large…

Machine Learning · Computer Science 2019-09-12 Ning Liu , Xiaolong Ma , Zhiyuan Xu , Yanzhi Wang , Jian Tang , Jieping Ye

Inexact alternating direction multiplier methods (ADMMs) are developed for solving general separable convex optimization problems with a linear constraint and with an objective that is the sum of smooth and nonsmooth terms. The approach…

Optimization and Control · Mathematics 2016-04-12 William W. Hager , Hongchao Zhang

Modern deep neural network models are large and computationally intensive. One typical solution to this issue is model pruning. However, most current pruning algorithms depend on hand crafted rules or domain expertise. To overcome this…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Baopu Li , Yanwen Fan , Zhihong Pan , Gang Zhang

The alternating direction method of multipliers (ADMM) is a powerful splitting algorithm for linearly constrained convex optimization problems. In view of its popularity and applicability, a growing attention is drawn towards the ADMM in…

Optimization and Control · Mathematics 2022-08-19 Sedi Bartz , Rubén Campoy , Hung M. Phan

Alternating direction method of multipliers (ADMM) is a popular first-order method owing to its simplicity and efficiency. However, similar to other proximal splitting methods, the performance of ADMM degrades significantly when the scale…

Optimization and Control · Mathematics 2021-08-11 Fengmiao Bian , Jingwei Liang , Xiaoqun Zhang

We study the combination of the alternating direction method of multipliers (ADMM) with physics-informed neural networks (PINNs) for a general class of nonsmooth partial differential equation (PDE)-constrained optimization problems, where…

Optimization and Control · Mathematics 2024-07-30 Yongcun Song , Xiaoming Yuan , Hangrui Yue

Deep Neural Networks (DNNs) have shown significant advantages in a wide variety of domains. However, DNNs are becoming computationally intensive and energy hungry at an exponential pace, while at the same time, there is a vast demand for…

We propose both serial and parallel proximal (linearized) alternating direction method of multipliers (ADMM) algorithms for training residual neural networks. In contrast to backpropagation-based approaches, our methods inherently mitigate…

Machine Learning · Computer Science 2025-04-01 Jintao Xu , Yifei Li , Wenxun Xing

With the emergence of a spectrum of high-end mobile devices, many applications that formerly required desktop-level computation capability are being transferred to these devices. However, executing the inference of Deep Neural Networks…

Machine Learning · Computer Science 2020-01-23 Wei Niu , Xiaolong Ma , Sheng Lin , Shihao Wang , Xuehai Qian , Xue Lin , Yanzhi Wang , Bin Ren

This paper presents centralized and distributed Alternating Direction Method of Multipliers (ADMM) frameworks for solving large-scale nonconvex optimization problems with binary decision variables subject to spanning tree or rooted…

Optimization and Control · Mathematics 2026-03-10 Yacine Mokhtari

The electrical network reconfiguration problem aims to minimize losses in a distribution system by adjusting switches while ensuring radial topology. The growing use of renewable energy and the complexity of managing modern power grids make…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Yacine Mokhtari , Patrick Coirault , Emmanuel Moulay , Jérôme Le Ny , Didier Larraillet

Deep Neural Network (DNN) is powerful but computationally expensive and memory intensive, thus impeding its practical usage on resource-constrained front-end devices. DNN pruning is an approach for deep model compression, which aims at…

Machine Learning · Computer Science 2019-10-28 Xiaohan Ding , Guiguang Ding , Xiangxin Zhou , Yuchen Guo , Jungong Han , Ji Liu

In this paper, we propose a new stochastic alternating direction method of multipliers (ADMM) algorithm, which incrementally approximates the full gradient in the linearized ADMM formulation. Besides having a low per-iteration complexity as…

Machine Learning · Computer Science 2013-08-19 Leon Wenliang Zhong , James T. Kwok

Deep neural networks (DNNs) have become a widely deployed model for numerous machine learning applications. However, their fixed architecture, substantial training cost, and significant model redundancy make it difficult to efficiently…

Neural and Evolutionary Computing · Computer Science 2019-05-28 Xiaoliang Dai , Hongxu Yin , Niraj K. Jha

The classic Alternating Direction Method of Multipliers (ADMM) is a popular framework to solve linear-equality constrained problems. In this paper, we extend the ADMM naturally to nonlinear equality-constrained problems, called neADMM. The…

Optimization and Control · Mathematics 2021-03-17 Junxiang Wang , Liang Zhao