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In image processing, Total Variation (TV) regularization models are commonly used to recover blurred images. One of the most efficient and popular methods to solve the convex TV problem is the Alternating Direction Method of Multipliers…

最优化与控制 · 数学 2019-10-02 Tao Sun , Roberto Barrio , Marcos Rodriguez , Hao Jiang

Deep Neural Networks (DNNs) are ubiquitous in today's computer vision land-scape, despite involving considerable computational costs. The mainstream approaches for runtime acceleration consist in pruning connections (unstructured pruning)…

计算机视觉与模式识别 · 计算机科学 2021-06-01 Edouard Yvinec , Arnaud Dapogny , Matthieu Cord , Kevin Bailly

Deep neural networks (DNNs) are nowadays witnessing a major success in solving many pattern recognition tasks including skeleton-based classification. The deployment of DNNs on edge-devices, endowed with limited time and memory resources,…

计算机视觉与模式识别 · 计算机科学 2024-12-17 Hichem Sahbi

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

系统与控制 · 计算机科学 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

In this paper we propose an iterative method using alternating direction method of multipliers (ADMM) strategy to solve linear inverse problems in Hilbert spaces with general convex penalty term. When the data is given exactly, we give a…

数值分析 · 数学 2016-01-13 Yuling Jiao , Qinian Jin , Xiliang Lu , Weijie Wang

In this work, we propose to train a deep neural network by distributed optimization over a graph. Two nonlinear functions are considered: the rectified linear unit (ReLU) and a linear unit with both lower and upper cutoffs (DCutLU). The…

机器学习 · 计算机科学 2017-06-20 Guoqiang Zhang , W. Bastiaan Kleijn

We present ADMM-Softmax, an alternating direction method of multipliers (ADMM) for solving multinomial logistic regression (MLR) problems. Our method is geared toward supervised classification tasks with many examples and features. It…

机器学习 · 计算机科学 2019-07-12 Samy Wu Fung , Sanna Tyrväinen , Lars Ruthotto , Eldad Haber

Pruning is one of the predominant approaches for compressing deep neural networks (DNNs). Lately, coresets (provable data summarizations) were leveraged for pruning DNNs, adding the advantage of theoretical guarantees on the trade-off…

机器学习 · 计算机科学 2022-09-20 Murad Tukan , Loay Mualem , Alaa Maalouf

In this paper, we analyze the convergence of the alternating direction method of multipliers (ADMM) for minimizing a nonconvex and possibly nonsmooth objective function, $\phi(x_0,\ldots,x_p,y)$, subject to coupled linear equality…

最优化与控制 · 数学 2018-05-31 Yu Wang , Wotao Yin , Jinshan Zeng

Recurrent neural networks (RNNs) have recently achieved remarkable successes in a number of applications. However, the huge sizes and computational burden of these models make it difficult for their deployment on edge devices. A practically…

机器学习 · 计算机科学 2019-12-10 Liangjian Wen , Xuanyang Zhang , Haoli Bai , Zenglin Xu

The alternating direction method of multipliers (ADMM) proposed by Glowinski and Marrocco is a benchmark algorithm for two-block separable convex optimization problems with linear equality constraints. It has been modified, specified, and…

最优化与控制 · 数学 2021-07-15 Bingsheng He , Shengjie Xu , Xiaoming Yuan

Deep Neural Networks (DNNs) are the key to the state-of-the-art machine vision, sensor fusion and audio/video signal processing. Unfortunately, their computation complexity and tight resource constraints on the Edge make them hard to…

机器学习 · 计算机科学 2017-12-05 Ranko Sredojevic , Shaoyi Cheng , Lazar Supic , Rawan Naous , Vladimir Stojanovic

We consider a class of distributed optimization problem where the objective function consists of a sum of strongly convex and smooth functions and a (possibly nonsmooth) convex regularizer. A multi-agent network is assumed, where each agent…

最优化与控制 · 数学 2021-10-01 Yichuan Li , Yonghai Gong , Nikolaos M. Freris , Petros Voulgaris , Dusan Stipanovic

This work is focused on the pruning of some convolutional neural networks (CNNs) and improving theirs efficiency on graphic processing units (GPU) by using a direct sparse algorithm. The Nvidia deep neural network (cuDnn) library is the…

机器学习 · 计算机科学 2022-08-30 Marcin Pietroń , Dominik Żurek

Deep Neural Networks are highly over-parameterized and the size of the neural networks can be reduced significantly after training without any decrease in performance. One can clearly see this phenomenon in a wide range of architectures…

机器学习 · 计算机科学 2018-06-19 Utku Evci

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…

最优化与控制 · 数学 2015-08-11 Deren Han , Defeng Sun , Liwei Zhang

This work investigates the theoretical performance of the alternating-direction method of multipliers (ADMM) as it applies to nonconvex optimization problems, and in particular, problems with nonconvex constraint sets. The alternating…

最优化与控制 · 数学 2022-03-16 Stuart M. Harwood

Recent DNN pruning algorithms have succeeded in reducing the number of parameters in fully connected layers, often with little or no drop in classification accuracy. However, most of the existing pruning schemes either have to be applied…

机器学习 · 计算机科学 2018-03-13 Konstantinos Pitas , Mike Davies , Pierre Vandergheynst

Large-scale deep neural networks (DNN) have been successfully used in a number of tasks from image recognition to natural language processing. They are trained using large training sets on large models, making them computationally and…

机器学习 · 计算机科学 2017-03-28 Sek Chai , Aswin Raghavan , David Zhang , Mohamed Amer , Tim Shields

Deep Neural Networks (DNNs) have achieved significant advances in a wide range of applications. However, their deployment on resource-constrained devices remains a challenge due to the large number of layers and parameters, which result in…

神经与进化计算 · 计算机科学 2025-09-05 Sara Makenali , Babak Rokh , Ali Azarpeyvand