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Novel convergence analyses are presented of Riemannian stochastic gradient descent (RSGD) on a Hadamard manifold. RSGD is the most basic Riemannian stochastic optimization algorithm and is used in many applications in the field of machine…

最优化与控制 · 数学 2023-12-14 Hiroyuki Sakai , Hideaki Iiduka

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

Stochastic Gradient Descent (SGD) has become one of the most popular optimization methods for training machine learning models on massive datasets. However, SGD suffers from two main drawbacks: (i) The noisy gradient updates have high…

机器学习 · 计算机科学 2017-04-10 Soham De , Tom Goldstein

Existing convergence analyses of Q-learning mostly focus on the vanilla stochastic gradient descent (SGD) type of updates. Despite the Adaptive Moment Estimation (Adam) has been commonly used for practical Q-learning algorithms, there has…

最优化与控制 · 数学 2020-07-16 Bowen Weng , Huaqing Xiong , Yingbin Liang , Wei Zhang

Brain-inspired spiking neural networks (SNNs) are recognized as a promising avenue for achieving efficient, low-energy neuromorphic computing. Direct training of SNNs typically relies on surrogate gradient (SG) learning to estimate…

神经与进化计算 · 计算机科学 2025-11-18 Jiaqiang Jiang , Wenfeng Xu , Jing Fan , Rui Yan

Stochastic gradient descent (SGD), which updates the model parameters by adding a local gradient times a learning rate at each step, is widely used in model training of machine learning algorithms such as neural networks. It is observed…

机器学习 · 计算机科学 2017-06-01 Chang Xu , Tao Qin , Gang Wang , Tie-Yan Liu

Stochastic Gradient Descent (SGD) and its Ruppert-Polyak averaged variant (ASGD) lie at the heart of modern large-scale learning, yet their theoretical properties in high-dimensional settings are rarely understood. In this paper, we provide…

机器学习 · 统计学 2025-10-15 Jiaqi Li , Zhipeng Lou , Johannes Schmidt-Hieber , Wei Biao Wu

In this paper, we propose a simple variant of the original SVRG, called variance reduced stochastic gradient descent (VR-SGD). Unlike the choices of snapshot and starting points in SVRG and its proximal variant, Prox-SVRG, the two vectors…

机器学习 · 计算机科学 2018-10-31 Fanhua Shang , Kaiwen Zhou , Hongying Liu , James Cheng , Ivor W. Tsang , Lijun Zhang , Dacheng Tao , Licheng Jiao

The increasing size of deep learning models has made distributed training across multiple devices essential. However, current methods such as distributed data-parallel training suffer from large communication and synchronization overheads…

机器学习 · 计算机科学 2025-02-10 Cabrel Teguemne Fokam , Khaleelulla Khan Nazeer , Lukas König , David Kappel , Anand Subramoney

Deep Neural Networks (DNNs) have achieved im- pressive accuracy in many application domains including im- age classification. Training of DNNs is an extremely compute- intensive process and is solved using variants of the stochastic…

分布式、并行与集群计算 · 计算机科学 2017-11-03 Sameer Kumar , Dheeraj Sreedhar , Vaibhav Saxena , Yogish Sabharwal , Ashish Verma

We consider stochastic convex optimization problems where the objective is an expectation over smooth functions. For this setting we suggest a novel gradient estimate that combines two recent mechanism that are related to notion of…

机器学习 · 计算机科学 2025-03-06 Tehila Dahan , Kfir Y. Levy

Gradient descent algorithm is the most utilized method when optimizing machine learning issues. However, there exists many local minimums and saddle points in the loss function, especially for high dimensional non-convex optimization…

机器学习 · 计算机科学 2021-07-19 Zhicheng Cai

Stochastic gradient descent updates parameters with summation gradient computed from a random data batch. This summation will lead to unbalanced training process if the data we obtained is unbalanced. To address this issue, this paper takes…

机器学习 · 计算机科学 2019-05-22 Tao Yi , Xingxuan Wang

Various gradient compression schemes have been proposed to mitigate the communication cost in distributed training of large scale machine learning models. Sign-based methods, such as signSGD, have recently been gaining popularity because of…

最优化与控制 · 数学 2021-06-25 Mher Safaryan , Peter Richtárik

Computation using brain-inspired spiking neural networks (SNNs) with neuromorphic hardware may offer orders of magnitude higher energy efficiency compared to the current analog neural networks (ANNs). Unfortunately, training SNNs with the…

神经与进化计算 · 计算机科学 2020-06-09 Eimantas Ledinauskas , Julius Ruseckas , Alfonsas Juršėnas , Giedrius Buračas

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

Variance reduction is a crucial tool for improving the slow convergence of stochastic gradient descent. Only a few variance-reduced methods, however, have yet been shown to directly benefit from Nesterov's acceleration techniques to match…

最优化与控制 · 数学 2020-10-30 Derek Driggs , Matthias J. Ehrhardt , Carola-Bibiane Schönlieb

Within the current sphere of deep learning research, despite the extensive application of optimization algorithms such as Stochastic Gradient Descent (SGD) and Adaptive Moment Estimation (Adam), there remains a pronounced inadequacy in…

机器学习 · 计算机科学 2025-10-30 Zhifeng Wang , Longlong Li , Chunyan Zeng

In this paper we study the problem of convergence and generalization error bound of stochastic momentum for deep learning from the perspective of regularization. To do so, we first interpret momentum as solving an $\ell_2$-regularized…

机器学习 · 计算机科学 2019-06-04 Ziming Zhang , Wenju Xu , Alan Sullivan

Stochastic Gradient Descent (SGD) is one of the most widely used techniques for online optimization in machine learning. In this work, we accelerate SGD by adaptively learning how to sample the most useful training examples at each time…

机器学习 · 计算机科学 2016-03-16 Guillaume Bouchard , Théo Trouillon , Julien Perez , Adrien Gaidon