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As a popular channel pruning method for convolutional neural networks (CNNs), network slimming (NS) has a three-stage process: (1) it trains a CNN with $\ell_1$ regularization applied to the scaling factors of the batch normalization…

Computer Vision and Pattern Recognition · Computer Science 2024-01-31 Kevin Bui , Fanghui Xue , Fredrick Park , Yingyong Qi , Jack Xin

We propose a new asynchronous parallel block-descent algorithmic framework for the minimization of the sum of a smooth nonconvex function and a nonsmooth convex one, subject to both convex and nonconvex constraints. The proposed framework…

Optimization and Control · Mathematics 2018-04-02 Loris Cannelli , Francisco Facchinei , Vyacheslav Kungurtsev , Gesualdo Scutari

We provide improved parallel approximation algorithms for the important class of packing and covering linear programs. In particular, we present new parallel $\epsilon$-approximate packing and covering solvers which run in…

Data Structures and Algorithms · Computer Science 2015-11-23 Di Wang , Michael Mahoney , Nishanth Mohan , Satish Rao

We describe an asynchronous parallel stochastic proximal coordinate descent algorithm for minimizing a composite objective function, which consists of a smooth convex function plus a separable convex function. In contrast to previous…

Optimization and Control · Mathematics 2015-12-14 Ji Liu , Stephen J. Wright

Asynchronous parallel optimization algorithms for solving large-scale machine learning problems have drawn significant attention from academia to industry recently. This paper proposes a novel algorithm, decoupled asynchronous proximal…

Optimization and Control · Mathematics 2016-05-24 Yitan Li , Linli Xu , Xiaowei Zhong , Qing Ling

Consider the problem of minimizing the sum of a smooth (possibly non-convex) and a convex (possibly nonsmooth) function involving a large number of variables. A popular approach to solve this problem is the block coordinate descent (BCD)…

Optimization and Control · Mathematics 2014-11-03 Meisam Razaviyayn , Mingyi Hong , Zhi-Quan Luo , Jong-Shi Pang

Machine learning potentials have achieved great success in accelerating atomistic simulations. Many of them relying on atom-centered local descriptors are natural for parallelization. More recent message passing neural network (MPNN) models…

Chemical Physics · Physics 2025-06-10 Junfan Xia , Bin Jiang

In this work we study the parallel coordinate descent method (PCDM) proposed by Richt\'arik and Tak\'a\v{c} [26] for minimizing a regularized convex function. We adopt elements from the work of Xiao and Lu [39], and combine them with…

Optimization and Control · Mathematics 2015-03-11 Rachael Tappenden , Martin Takáč , Peter Richtárik

In this paper, we use Proximal Cubic regularized Newton Methods (PCNM) to optimize the sum of a smooth convex function and a non-smooth convex function, where we use inexact gradient and Hessian, and an inexact subsolver for the cubic…

Optimization and Control · Mathematics 2019-02-27 Chaobing Song , Ji Liu , Yong Jiang

The problem of minimizing a sum of local convex objective functions over a networked system captures many important applications and has received much attention in the distributed optimization field. Most of existing work focuses on…

Optimization and Control · Mathematics 2019-01-09 Fatemeh Mansoori , Ermin Wei

In this paper, we propose a parallel shooting algorithm for solving nonlinear model predictive control problems using sequential quadratic programming. This algorithm is built on a two-phase approach where we first test and assess…

Systems and Control · Electrical Eng. & Systems 2023-07-21 P. C. N. Verheijen , M. Haghi , M. Lazar , D. Goswami

The main goal of distribution network (DN) expansion planning is essentially to achieve minimal investment constrained with specified reliability requirements. The reliability-constrained distribution network planning (RcDNP) problem can be…

Systems and Control · Electrical Eng. & Systems 2023-03-10 Yaqi Sun , Wenchuan Wu , Yi Lin , Hai Huang , Hao Chen

This paper presents a novel coordinate descent algorithm leveraging a combination of one-directional line search and gradient information for parameter updates for a squared error loss function. Each parameter undergoes updates determined…

Machine Learning · Computer Science 2024-08-05 Yen-Che Hsiao , Abhishek Dutta

Large scale optimization problems are ubiquitous in machine learning and data analysis and there is a plethora of algorithms for solving such problems. Many of these algorithms employ sub-sampling, as a way to either speed up the…

Optimization and Control · Mathematics 2016-02-29 Farbod Roosta-Khorasani , Michael W. Mahoney

We propose and analyze a new parallel coordinate descent method---`NSync---in which at each iteration a random subset of coordinates is updated, in parallel, allowing for the subsets to be chosen non-uniformly. We derive convergence rates…

Machine Learning · Statistics 2013-10-15 Peter Richtárik , Martin Takáč

This paper presents the design and analysis of parallel approximation algorithms for facility-location problems, including $\NC$ and $\RNC$ algorithms for (metric) facility location, $k$-center, $k$-median, and $k$-means. These problems…

Data Structures and Algorithms · Computer Science 2010-06-11 Guy E. Blelloch , Kanat Tangwongsan

The recovery of images from the observations that are degraded by a linear operator and further corrupted by Poisson noise is an important task in modern imaging applications such as astronomical and biomedical ones. Gradient-based…

Computer Vision and Pattern Recognition · Computer Science 2015-03-17 Dai-Qiang Chen

Large-scale sparse precision matrix estimation has attracted wide interest from the statistics community. The convex partial correlation selection method (CONCORD) developed by Khare et al. (2015) has recently been credited with some…

Computation · Statistics 2021-06-18 Young-Geun Choi , Seunghwan Lee , Donghyeon Yu

The use of Model Predictive Control in industry is steadily increasing as more complicated problems can be addressed. Due to that online optimization is usually performed, the main bottleneck with Model Predictive Control is the relatively…

Optimization and Control · Mathematics 2014-01-31 Isak Nielsen , Daniel Axehill

In this paper, we consider approximating the parameter-to-solution maps of parametric partial differential equations (PPDEs) using deep neural networks (DNNs). We propose an efficient approach combining reduced collocation methods (RCMs)…

Numerical Analysis · Mathematics 2025-08-18 Guanhang Lei , Zhen Lei , Lei Shi , Chenyu Zeng