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A primary function of back-propagation is to compute both the gradient of hidden representations and parameters for optimization with gradient descent. Training large models requires high computational costs due to their vast parameter…

机器学习 · 计算机科学 2024-04-23 Enmao Diao , Qi Le , Suya Wu , Xinran Wang , Ali Anwar , Jie Ding , Vahid Tarokh

Stochastic gradient descent (SGD) is an essential element in Machine Learning (ML) algorithms. Asynchronous parallel shared-memory SGD (AsyncSGD), including synchronization-free algorithms, e.g. HOGWILD!, have received interest in certain…

分布式、并行与集群计算 · 计算机科学 2021-02-19 Karl Bäckström , Ivan Walulya , Marina Papatriantafilou , Philippas Tsigas

Multimodal regression is a fundamental task, which integrates the information from different sources to improve the performance of follow-up applications. However, existing methods mainly focus on improving the performance and often ignore…

机器学习 · 计算机科学 2021-11-17 Huan Ma , Zongbo Han , Changqing Zhang , Huazhu Fu , Joey Tianyi Zhou , Qinghua Hu

We study the problem of online personalized decentralized learning with $N$ statistically heterogeneous clients collaborating to accelerate local training. An important challenge in this setting is to select relevant collaborators to reduce…

机器学习 · 统计学 2025-07-10 Constantin Philippenko , Batiste Le Bars , Kevin Scaman , Laurent Massoulié

Graph Neural Networks (GNNs) have demonstrated impressive performance across diverse graph-based tasks by leveraging message passing to capture complex node relationships. However, on large-scale real-world graphs, GNNs face two major…

机器学习 · 计算机科学 2026-03-10 Xiang Li , Jianpeng Qi , Haobing Liu , Yuan Cao , Guoqing Chao , Zhongying Zhao , Junyu Dong , Xinwang Liu , Yanwei Yu

The recovery of magnetic resonance (MR) images from undersampled measurements is a key problem that has seen extensive research in recent years. Unrolled approaches, which rely on end-to-end training of convolutional neural network (CNN)…

图像与视频处理 · 电气工程与系统科学 2023-12-04 Maneesh John , Jyothi Rikhab Chand , Mathews Jacob

We study federated machine learning at the wireless network edge, where limited power wireless devices, each with its own dataset, build a joint model with the help of a remote parameter server (PS). We consider a bandwidth-limited fading…

信息论 · 计算机科学 2020-02-12 Mohammad Mohammadi Amiri , Deniz Gunduz

In machine learning, stochastic gradient descent (SGD) is widely deployed to train models using highly non-convex objectives with equally complex noise models. Unfortunately, SGD theory often makes restrictive assumptions that fail to…

机器学习 · 计算机科学 2022-10-11 Vivak Patel , Shushu Zhang , Bowen Tian

Single-hidden layer feed forward neural networks (SLFNs) are widely used in pattern classification problems, but a huge bottleneck encountered is the slow speed and poor performance of the traditional iterative gradient-based learning…

机器学习 · 计算机科学 2019-10-28 Jie He , Tao Chen , Zhijun Zhang

In this paper, we study the data-dependent convergence and generalization behavior of gradient methods for neural networks with smooth activation. Our first result is a novel bound on the excess risk of deep networks trained by the logistic…

机器学习 · 计算机科学 2024-12-09 Hossein Taheri , Christos Thrampoulidis , Arya Mazumdar

In this paper, we provide a comprehensive theoretical analysis of Stochastic Gradient Descent (SGD) and its momentum variants (Polyak Heavy-Ball and Nesterov) for tracking time-varying optima under strong convexity and smoothness. Our…

机器学习 · 统计学 2026-05-20 Sharan Sahu , Cameron J. Hogan , Martin T. Wells

In this empirical article, we introduce INNAprop, an optimization algorithm that combines the INNA method with the RMSprop adaptive gradient scaling. It leverages second-order information and rescaling while keeping the memory requirements…

机器学习 · 计算机科学 2024-12-13 Jérôme Bolte , Ryan Boustany , Edouard Pauwels , Andrei Purica

Stochastic gradient algorithms are the main focus of large-scale optimization problems and led to important successes in the recent advancement of the deep learning algorithms. The convergence of SGD depends on the careful choice of…

机器学习 · 计算机科学 2017-03-03 Caglar Gulcehre , Jose Sotelo , Marcin Moczulski , Yoshua Bengio

Momentum SGD (MSGD) serves as a foundational optimizer in training deep models due to momentum's key role in accelerating convergence and enhancing generalization. Meanwhile, asynchronous distributed learning is crucial for training…

机器学习 · 计算机科学 2026-01-21 Chang-Wei Shi , Shi-Shang Wang , Wu-Jun Li

Large-scale machine learning models are trained on clusters of machines that exhibit heterogeneous performance due to hardware variability, network delays, and system-level instabilities. In such environments, time complexity rather than…

最优化与控制 · 数学 2026-05-12 Zhirayr Tovmasyan , Artavazd Maranjyan , Peter Richtárik

Upon the discovery of adversarial attacks, robust models have become obligatory for deep learning-based systems. Adversarial training with first-order attacks has been one of the most effective defenses against adversarial perturbations to…

计算机视觉与模式识别 · 计算机科学 2021-08-24 Inci M. Baytas , Debayan Deb

We propose a deep neural network (DNN) as a fast surrogate model for local stress (and in principle strain) calculation in inhomogeneous non-linear material systems. We show that the DNN predicts the local stresses with about 3.8% mean…

材料科学 · 物理学 2021-03-17 Jaber Rezaei Mianroodi , Nima H. Siboni , Dierk Raabe

Throughout the past five years, the susceptibility of neural networks to minimal adversarial perturbations has moved from a peculiar phenomenon to a core issue in Deep Learning. Despite much attention, however, progress towards more robust…

Self-paced learning and hard example mining re-weight training instances to improve learning accuracy. This paper presents two improved alternatives based on lightweight estimates of sample uncertainty in stochastic gradient descent (SGD):…

机器学习 · 统计学 2018-01-09 Haw-Shiuan Chang , Erik Learned-Miller , Andrew McCallum

Adaptive gradient methods, such as AdaGrad, are among the most successful optimization algorithms for neural network training. While these methods are known to achieve better dimensional dependence than stochastic gradient descent (SGD) for…

最优化与控制 · 数学 2025-06-09 Ruichen Jiang , Devyani Maladkar , Aryan Mokhtari