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Scaling up deep neural network capacity has been known as an effective approach to improving model quality for several different machine learning tasks. In many cases, increasing model capacity beyond the memory limit of a single…

Computer Vision and Pattern Recognition · Computer Science 2019-07-29 Yanping Huang , Youlong Cheng , Ankur Bapna , Orhan Firat , Mia Xu Chen , Dehao Chen , HyoukJoong Lee , Jiquan Ngiam , Quoc V. Le , Yonghui Wu , Zhifeng Chen

Nonnegative matrix factorization has been widely applied in face recognition, text mining, as well as spectral analysis. This paper proposes an alternating proximal gradient method for solving this problem. With a uniformly positive lower…

Information Theory · Computer Science 2013-02-12 Yangyang Xu

Pipeline parallelism is one of the key components for large-scale distributed training, yet its efficiency suffers from pipeline bubbles which were deemed inevitable. In this work, we introduce a scheduling strategy that, to our knowledge,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-22 Penghui Qi , Xinyi Wan , Guangxing Huang , Min Lin

DNN training is time-consuming and requires efficient multi-accelerator parallelization, where a single training iteration is split over available accelerators. Current approaches often parallelize training using intra-batch…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-24 Ankita Dutta , Nabendu Chaki , Rajat K. De

Over the past two decades, descent methods have received substantial attention within the multiobjective optimization field. Nonetheless, both theoretical analyses and empirical evidence reveal that existing first-order methods for…

Optimization and Control · Mathematics 2024-11-13 Jian Chen , Liping Tang , Xinmin Yang

In this technical note, we are concerned with the problem of solving variational inequalities with improved convergence rates. Motivated by Nesterov's accelerated gradient method for convex optimization, we propose a Nesterov's accelerated…

Optimization and Control · Mathematics 2022-12-21 Shaolin Tan , Jinhu Lu

Randomized-subspace methods reduce the cost of first-order optimization by using only low-dimensional projected-gradient information, a feature that is attractive in forward-mode automatic differentiation and communication-limited settings.…

Optimization and Control · Mathematics 2026-05-04 Gaku Omiya , Pierre-Louis Poirion , Akiko Takeda

Pipeline parallelism is a crucial paradigm for large-scale model training. However, imbalances in memory footprint across stages can lead to significant GPU memory wastage, limiting the model sizes that pipeline parallelism can effectively…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-12 Xuan Peng , Xuanhua Shi , Haolin Zhang , Yunfei Zhao , Xuehai Qian

Federated learning (FL) is a fast-developing technique that allows multiple workers to train a global model based on a distributed dataset. Conventional FL (FedAvg) employs gradient descent algorithm, which may not be efficient enough.…

Machine Learning · Computer Science 2022-10-27 Zhengjie Yang , Wei Bao , Dong Yuan , Nguyen H. Tran , Albert Y. Zomaya

It is usually infeasible to fit and train an entire large deep neural network (DNN) model using a single edge device due to the limited resources. To facilitate intelligent applications across edge devices, researchers have proposed…

Machine Learning · Computer Science 2023-11-13 Yuhao Chen , Yuxuan Yan , Qianqian Yang , Yuanchao Shu , Shibo He , Zhiguo Shi , Jiming Chen

Nesterov's Accelerated Gradient (NAG) for optimization has better performance than its continuous time limit (noiseless kinetic Langevin) when a finite step-size is employed \citep{shi2021understanding}. This work explores the sampling…

Machine Learning · Computer Science 2022-06-22 Ruilin Li , Hongyuan Zha , Molei Tao

Nesterov's accelerated gradient descent method (AGD) is a seminal deterministic first-order method known to achieve the optimal order of iteration complexity for solving convex smooth optimization problems. Two distinct sequences of…

Optimization and Control · Mathematics 2026-03-10 Yan Wu , Yipeng Zhang , Lu Liu , Yuyuan Ouyang

Nesterov SGD is widely used for training modern neural networks and other machine learning models. Yet, its advantages over SGD have not been theoretically clarified. Indeed, as we show in our paper, both theoretically and empirically,…

Machine Learning · Computer Science 2019-09-30 Chaoyue Liu , Mikhail Belkin

Spiking Neural Networks (SNN). SNNs are based on a more biologically inspired approach than usual artificial neural networks. Such models are characterized by complex dynamics between neurons and spikes. These are very sensitive to the…

Neural and Evolutionary Computing · Computer Science 2024-09-06 Thomas Firmin , Pierre Boulet , El-Ghazali Talbi

Spiking neural networks have gained significant attention due to their brain-like information processing capabilities. The use of surrogate gradients has made it possible to train spiking neural networks with backpropagation, leading to…

Neural and Evolutionary Computing · Computer Science 2023-05-24 Dongcheng Zhao , Guobin Shen , Yiting Dong , Yang Li , Yi Zeng

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

Stochastic Gradient Descent (SGD) is very useful in optimization problems with high-dimensional non-convex target functions, and hence constitutes an important component of several Machine Learning and Data Analytics methods. Recently there…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-11 Karl Bäckström , Marina Papatriantafilou , Philippas Tsigas

We present a unifying framework for adapting the update direction in gradient-based iterative optimization methods. As natural special cases we re-derive classical momentum and Nesterov's accelerated gradient method, lending a new intuitive…

Machine Learning · Statistics 2016-07-12 Aleksandar Botev , Guy Lever , David Barber

Pipelined Krylov subspace methods (also referred to as communication-hiding methods) have been proposed in the literature as a scalable alternative to classic Krylov subspace algorithms for iteratively computing the solution to a large…

Numerical Analysis · Computer Science 2019-05-16 Siegfried Cools , Jeffrey Cornelis , Wim Vanroose

Nesterov's accelerated gradient methods (AGM) have been successfully applied in many machine learning areas. However, their empirical performance on training max-margin models has been inferior to existing specialized solvers. In this…

Machine Learning · Computer Science 2010-11-03 Xinhua Zhang , Ankan Saha , S. V. N. Vishwanathan