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We show that replacing the rolling SVD of AdamW updates with a rolling SVD of loss gradients changes the diagnostic by 1-2 orders of magnitude. Performing SVD on the loss gradient instead of the AdamW update increases the measured…

机器学习 · 计算机科学 2026-04-29 Yongzhong Xu

Training large language models requires optimization algorithms that are not only statistically effective, but also computationally and memory efficient at extreme scale. Although Adam remains the dominant optimizer for large-scale…

机器学习 · 计算机科学 2026-05-12 Aditya Ranganath

Efficient stochastic optimization typically integrates an update direction that performs well in the deterministic regime with a mechanism adapting to stochastic perturbations. While Adam uses adaptive moment estimates to promote stability,…

机器学习 · 计算机科学 2026-02-23 Minxin Zhang , Yuxuan Liu , Hayden Schaeffer

AdamW has long been the dominant optimizer in language model pretraining, despite numerous claims that alternative optimizers offer 1.4 to 2x speedup. We posit that two methodological shortcomings have obscured fair comparisons and hindered…

机器学习 · 计算机科学 2025-09-08 Kaiyue Wen , David Hall , Tengyu Ma , Percy Liang

If we want to train a neural network using any of the most popular optimization algorithms, we are immediately faced with a dilemma: how to set the various optimization and regularization hyperparameters? When computational resources are…

机器学习 · 计算机科学 2025-03-07 Sourabh Medapati , Priya Kasimbeg , Shankar Krishnan , Naman Agarwal , George Dahl

Compositionality is a basic structural feature of both biological and artificial neural networks. Learning compositional functions via gradient descent incurs well known problems like vanishing and exploding gradients, making careful…

神经与进化计算 · 计算机科学 2021-01-11 Jeremy Bernstein , Jiawei Zhao , Markus Meister , Ming-Yu Liu , Anima Anandkumar , Yisong Yue

Adaptive optimizers such as Adam (Kingma & Ba, 2015) have been central to the success of large language models. However, they often require to maintain optimizer states throughout training, which can result in memory requirements several…

机器学习 · 计算机科学 2025-02-24 Chao Ma , Wenbo Gong , Meyer Scetbon , Edward Meeds

In the training of large language models (LLMs), updating parameters more efficiently and stably has always been an important challenge. To achieve efficient parameter updates, existing methods usually achieve performance comparable to full…

机器学习 · 计算机科学 2025-02-06 Da Chang , Yu Li , Ganzhao Yuan

The effect of regularizers such as weight decay when training deep neural networks is not well understood. We study the influence of weight decay as well as $L2$-regularization when training neural network models in which parameter matrices…

机器学习 · 计算机科学 2024-11-01 Seijin Kobayashi , Yassir Akram , Johannes Von Oswald

Despite the popularity of the Adam optimizer in practice, most theoretical analyses study Stochastic Gradient Descent (SGD) as a proxy for Adam, and little is known about how the solutions found by Adam differ. In this paper, we show that…

机器学习 · 计算机科学 2025-11-05 Xinghan Li , Haodong Wen , Kaifeng Lyu

Optimization algorithms such as AdaGrad and Adam have significantly advanced the training of deep models by dynamically adjusting the learning rate during the optimization process. However, adhoc tuning of learning rates poses a challenge,…

机器学习 · 计算机科学 2024-12-30 Yuanzhe Tao , Huizhuo Yuan , Xun Zhou , Yuan Cao , Quanquan Gu

Adam is one of the most popular optimization algorithms in deep learning. However, it is known that Adam does not converge in theory unless choosing a hyperparameter, i.e., $\beta_2$, in a problem-dependent manner. There have been many…

Prompt Tuning (PT) enables the adaptation of Pre-trained Large Language Models (PLMs) to downstream tasks by optimizing a small amount of soft virtual tokens, which are prepended to the input token embeddings. Recently, Decomposed Prompt…

计算与语言 · 计算机科学 2025-12-23 Pengwei Tang , Xiaolin Hu , Yong Liu

The vast majority of modern deep learning models are trained with momentum-based first-order optimizers. The momentum term governs the optimizer's memory by determining how much each past gradient contributes to the current convergence…

机器学习 · 计算机科学 2026-05-12 Kristi Topollai , Anna Choromanska

Since its invention in 2014, the Adam optimizer has received tremendous attention. On one hand, it has been widely used in deep learning and many variants have been proposed, while on the other hand their theoretical convergence property…

机器学习 · 计算机科学 2021-12-08 Zhishuai Guo , Yi Xu , Wotao Yin , Rong Jin , Tianbao Yang

Optimal selection of optimization algorithms is crucial for training deep learning models. The Adam optimizer has gained significant attention due to its efficiency and wide applicability. However, to enhance the adaptability of optimizers…

机器学习 · 计算机科学 2024-09-09 Chengxi Pan , Junshang Chen , Jingrui Ye

SGD and AdamW are the two most used optimizers for fine-tuning large neural networks in computer vision. When the two methods perform the same, SGD is preferable because it uses less memory (12 bytes/parameter with momentum and 8…

计算机视觉与模式识别 · 计算机科学 2023-10-11 Ananya Kumar , Ruoqi Shen , Sebastien Bubeck , Suriya Gunasekar

Hyperparameter tuning, particularly the selection of an appropriate learning rate in adaptive gradient training methods, remains a challenge. To tackle this challenge, in this paper, we propose a novel parameter-free optimizer,…

机器学习 · 计算机科学 2024-05-28 Yijiang Pang , Shuyang Yu , Bao Hoang , Jiayu Zhou

Many continual-learning methods modify gradients upstream (e.g., projection, penalty rescaling, replay mixing) while treating Adam as a neutral backend. We show this composition has a hidden failure mode. In a high-overlap, non-adaptive…

机器学习 · 计算机科学 2026-04-27 Yuelin Hu , Zhenbo Yu , Zhengxue Cheng , Wei Liu , Li Song

Optimization is essential in deep learning. The foundational method upon which most optimizers are built is momentum-based stochastic gradient descent. However, it suffers from two key drawbacks. First, it has noisy and varying gradients,…

机器学习 · 计算机科学 2026-05-22 Saurabh Saini , Kapil Ahuja , Thomas Wick , Saurav Kumar