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相关论文: Semi-Cyclic Stochastic Gradient Descent

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The stochastic gradient (SG) method can minimize an objective function composed of a large number of differentiable functions, or solve a stochastic optimization problem, to a moderate accuracy. The block coordinate descent/update (BCD)…

最优化与控制 · 数学 2015-11-23 Yangyang Xu , Wotao Yin

Federated Learning (FL) enables statistical models to be built on user-generated data without compromising data security and user privacy. For this reason, FL is well suited for on-device learning from mobile devices where data is abundant…

机器学习 · 计算机科学 2021-03-23 Stefan Arnold , Dilara Yesilbas

We consider practical data characteristics underlying federated learning, where unbalanced and non-i.i.d. data from clients have a block-cyclic structure: each cycle contains several blocks, and each client's training data follow…

机器学习 · 计算机科学 2020-02-19 Yucheng Ding , Chaoyue Niu , Yikai Yan , Zhenzhe Zheng , Fan Wu , Guihai Chen , Shaojie Tang , Rongfei Jia

Stochastic gradient descent (SGD) has been a go-to algorithm for nonconvex stochastic optimization problems arising in machine learning. Its theory however often requires a strong framework to guarantee convergence properties. We hereby…

最优化与控制 · 数学 2025-03-11 Azar Louzi

Mini-batch stochastic gradient descent (SGD) is state of the art in large scale distributed training. The scheme can reach a linear speedup with respect to the number of workers, but this is rarely seen in practice as the scheme often…

最优化与控制 · 数学 2019-05-06 Sebastian U. Stich

We analyze (stochastic) gradient descent (SGD) with delayed updates on smooth quasi-convex and non-convex functions and derive concise, non-asymptotic, convergence rates. We show that the rate of convergence in all cases consists of two…

机器学习 · 计算机科学 2021-06-17 Sebastian U. Stich , Sai Praneeth Karimireddy

Asynchronous stochastic gradient descent (SGD) is attractive from a speed perspective because workers do not wait for synchronization. However, the Transformer model converges poorly with asynchronous SGD, resulting in substantially lower…

计算与语言 · 计算机科学 2021-11-30 Alham Fikri Aji , Kenneth Heafield

We study to what extent may stochastic gradient descent (SGD) be understood as a "conventional" learning rule that achieves generalization performance by obtaining a good fit to training data. We consider the fundamental stochastic convex…

机器学习 · 计算机科学 2023-01-13 Tomer Koren , Roi Livni , Yishay Mansour , Uri Sherman

The performance of fully synchronized distributed systems has faced a bottleneck due to the big data trend, under which asynchronous distributed systems are becoming a major popularity due to their powerful scalability. In this paper, we…

机器学习 · 统计学 2019-10-01 Jayanth Regatti , Gaurav Tendolkar , Yi Zhou , Abhishek Gupta , Yingbin Liang

We introduce a collaborative learning framework allowing multiple parties having different sets of attributes about the same user to jointly build models without exposing their raw data or model parameters. In particular, we propose a…

机器学习 · 计算机科学 2020-08-03 Yang Liu , Yan Kang , Xinwei Zhang , Liping Li , Yong Cheng , Tianjian Chen , Mingyi Hong , Qiang Yang

In this paper we study the convex problem of optimizing the sum of a smooth function and a compactly supported non-smooth term with a specific separable form. We analyze the block version of the generalized conditional gradient method when…

最优化与控制 · 数学 2015-09-28 Amir Beck , Edouard Pauwels , Shoham Sabach

One of the most common methods to train machine learning algorithms today is the stochastic gradient descent (SGD). In a distributed setting, SGD-based algorithms have been shown to converge theoretically under specific circumstances. A…

机器学习 · 计算机科学 2025-08-22 Soumya Sarkar , Shweta Jain

The question of how to parallelize the stochastic gradient descent (SGD) method has received much attention in the literature. In this paper, we focus instead on batch methods that use a sizeable fraction of the training set at each…

最优化与控制 · 数学 2016-10-26 Albert S. Berahas , Jorge Nocedal , Martin Takáč

We consider distributed learning scenarios where M machines interact with a parameter server along several communication rounds in order to minimize a joint objective function. Focusing on the heterogeneous case, where different machines…

机器学习 · 计算机科学 2025-01-22 Tehila Dahan , Kfir Y. Levy

Decentralized optimization has become vital for leveraging distributed data without central control, enhancing scalability and privacy. However, practical deployments face fundamental challenges due to heterogeneous computation speeds and…

机器学习 · 计算机科学 2025-05-16 Yijie Zhou , Shi Pu

Local stochastic gradient descent (Local-SGD), also referred to as federated averaging, is an approach to distributed optimization where each device performs more than one SGD update per communication. This work presents an empirical study…

Stochastic gradient descent (SGD) is almost ubiquitously used for training non-convex optimization tasks. Recently, a hypothesis proposed by Keskar et al. [2017] that large batch methods tend to converge to sharp minimizers has received…

机器学习 · 统计学 2018-12-04 Xiaowu Dai , Yuhua Zhu

In this paper we study the effect of stochastic errors on two constrained incremental sub-gradient algorithms. We view the incremental sub-gradient algorithms as decentralized network optimization algorithms as applied to minimize a sum of…

最优化与控制 · 数学 2008-06-09 S Sundhar Ram , A Nedich , V. V. Veeravalli

With the recent proliferation of large-scale learning problems,there have been a lot of interest on distributed machine learning algorithms, particularly those that are based on stochastic gradient descent (SGD) and its variants. However,…

机器学习 · 计算机科学 2015-12-07 Ruiliang Zhang , Shuai Zheng , James T. Kwok

It has been experimentally observed that distributed implementations of mini-batch stochastic gradient descent (SGD) algorithms exhibit speedup saturation and decaying generalization ability beyond a particular batch-size. In this work, we…

机器学习 · 计算机科学 2018-01-09 Dong Yin , Ashwin Pananjady , Max Lam , Dimitris Papailiopoulos , Kannan Ramchandran , Peter Bartlett
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