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Stochastic gradient descent (SGD) is a well known method for regression and classification tasks. However, it is an inherently sequential algorithm at each step, the processing of the current example depends on the parameters learned from…

机器学习 · 计算机科学 2017-05-24 Saeed Maleki , Madanlal Musuvathi , Todd Mytkowicz

Stochastic gradient descent (\textsc{Sgd}) methods are the most powerful optimization tools in training machine learning and deep learning models. Moreover, acceleration (a.k.a. momentum) methods and diagonal scaling (a.k.a. adaptive…

机器学习 · 统计学 2018-10-02 Qi Deng , Yi Cheng , Guanghui Lan

A framework is introduced for solving a sequence of slowly changing optimization problems, including those arising in regression and classification applications, using optimization algorithms such as stochastic gradient descent (SGD). The…

机器学习 · 计算机科学 2015-09-25 Craig Wilson , Venugopal V. Veeravalli

LLM-based prompt optimization, that uses LLM-provided "textual gradients" (feedback) to refine prompts, has emerged an effective method for automatic prompt engineering. However, its scalability and stability are unclear when using more…

计算与语言 · 计算机科学 2025-11-19 Zixin Ding , Junyuan Hong , Zhan Shi , Jiachen T. Wang , Zinan Lin , Li Yin , Meng Liu , Zhangyang Wang , Yuxin Chen

Approximating Stochastic Gradient Descent (SGD) as a Stochastic Differential Equation (SDE) has allowed researchers to enjoy the benefits of studying a continuous optimization trajectory while carefully preserving the stochasticity of SGD.…

机器学习 · 计算机科学 2024-11-04 Sadhika Malladi , Kaifeng Lyu , Abhishek Panigrahi , Sanjeev Arora

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

Effective training of deep neural networks suffers from two main issues. The first is that the parameter spaces of these models exhibit pathological curvature. Recent methods address this problem by using adaptive preconditioning for…

机器学习 · 统计学 2015-12-25 Chunyuan Li , Changyou Chen , David Carlson , Lawrence Carin

Stochastic gradient descent (SGD) is a popular stochastic optimization method in machine learning. Traditional parallel SGD algorithms, e.g., SimuParallel SGD, often require all nodes to have the same performance or to consume equal…

机器学习 · 计算机科学 2017-08-17 Cheng Daning , Li Shigang , Zhang Yunquan

Stochastic gradient descent (SGD) method is popular for solving non-convex optimization problems in machine learning. This work investigates SGD from a viewpoint of graduated optimization, which is a widely applied approach for non-convex…

最优化与控制 · 数学 2023-08-15 Da Li , Jingjing Wu , Qingrun Zhang

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

Quantum federated learning (QFL) is a quantum extension of the classical federated learning model across multiple local quantum devices. An efficient optimization algorithm is always expected to minimize the communication overhead among…

量子物理 · 物理学 2023-03-15 Jun Qi , Xiao-Lei Zhang , Javier Tejedor

LLM training is resource-intensive. Quantized training improves computational and memory efficiency but introduces quantization noise, which can hinder convergence and degrade model accuracy. Stochastic Rounding (SR) has emerged as a…

机器学习 · 计算机科学 2025-11-04 Taowen Liu , Marta Andronic , Deniz Gündüz , George A. Constantinides

In this paper, we develop a new algorithm, Annealed Skewed SGD - AskewSGD - for training deep neural networks (DNNs) with quantized weights. First, we formulate the training of quantized neural networks (QNNs) as a smoothed sequence of…

机器学习 · 统计学 2022-12-21 Louis Leconte , Sholom Schechtman , Eric Moulines

Stochastic Gradient Descent (SGD) methods are prominent for training machine learning and deep learning models. The performance of these techniques depends on their hyperparameter tuning over time and varies for different models and…

机器学习 · 统计学 2019-08-22 Tomer Lancewicki , Selcuk Kopru

Distributed stochastic gradient descent (SGD) algorithms are widely deployed in training large-scale deep learning models, while the communication overhead among workers becomes the new system bottleneck. Recently proposed gradient…

机器学习 · 计算机科学 2019-11-21 Shaohuai Shi , Xiaowen Chu , Ka Chun Cheung , Simon See

This paper investigates scaling laws for local SGD in LLM training, a distributed optimization algorithm that facilitates training on loosely connected devices. Through extensive experiments, we show that local SGD achieves competitive…

计算与语言 · 计算机科学 2024-09-23 Qiaozhi He , Xiaomin Zhuang , Zhihua Wu

Many communication-efficient variants of SGD use gradient quantization schemes. These schemes are often heuristic and fixed over the course of training. We empirically observe that the statistics of gradients of deep models change during…

机器学习 · 计算机科学 2020-10-26 Fartash Faghri , Iman Tabrizian , Ilia Markov , Dan Alistarh , Daniel Roy , Ali Ramezani-Kebrya

The Stochastic Gradient Descent method (SGD) and its stochastic variants have become methods of choice for solving finite-sum optimization problems arising from machine learning and data science thanks to their ability to handle large-scale…

最优化与控制 · 数学 2024-03-06 Trang H. Tran , Quoc Tran-Dinh , Lam M. Nguyen

Adaptive gradient methods including Adam, AdaGrad, and their variants have been very successful for training deep learning models, such as neural networks. Meanwhile, given the need for distributed computing, distributed optimization…

机器学习 · 计算机科学 2021-09-08 Xiangyi Chen , Belhal Karimi , Weijie Zhao , Ping Li

Stochastic Gradient Descent (SGD) and its variants, such as ADAM, are foundational to deep learning optimization, adjusting model parameters through fixed or adaptive learning rates based on loss function gradients. However, these methods…

机器学习 · 计算机科学 2025-06-25 Ben Keslaki