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The standard normalization method for neural network (NN) models used in Natural Language Processing (NLP) is layer normalization (LN). This is different than batch normalization (BN), which is widely-adopted in Computer Vision. The…

计算与语言 · 计算机科学 2021-04-21 Sheng Shen , Zhewei Yao , Amir Gholami , Michael W. Mahoney , Kurt Keutzer

Large Language Models (LLMs) achieve competitive performance across diverse natural language processing (NLP) tasks, yet pretraining is computationally demanding, making optimizer efficiency an important practical consideration. Muon…

机器学习 · 计算机科学 2026-01-22 Jingru Li , Yibo Fan , Huan Li

For a long period of time, Adam has served as the ubiquitous default choice for training deep neural networks. Recently, many new optimizers have been introduced, out of which Muon has perhaps gained the highest popularity due to its…

机器学习 · 计算机科学 2026-03-03 Sara Dragutinović , Rajesh Ranganath

Discount regularization, using a shorter planning horizon when calculating the optimal policy, is a popular choice to restrict planning to a less complex set of policies when estimating an MDP from sparse or noisy data (Jiang et al., 2015).…

机器学习 · 计算机科学 2023-06-21 Sarah Rathnam , Sonali Parbhoo , Weiwei Pan , Susan A. Murphy , Finale Doshi-Velez

Deep Metric Learning (DML) is arguably one of the most influential lines of research for learning visual similarities with many proposed approaches every year. Although the field benefits from the rapid progress, the divergence in training…

计算机视觉与模式识别 · 计算机科学 2020-08-04 Karsten Roth , Timo Milbich , Samarth Sinha , Prateek Gupta , Björn Ommer , Joseph Paul Cohen

Learning to Optimize (L2O) enhances optimization efficiency with integrated neural networks. L2O paradigms achieve great outcomes, e.g., refitting optimizer, generating unseen solutions iteratively or directly. However, conventional L2O…

Training large language models (LLMs) typically relies on adaptive optimizers like Adam (Kingma & Ba, 2015) which store additional state information to accelerate convergence but incur significant memory overhead. Recent efforts, such as…

机器学习 · 计算机科学 2025-02-11 Meyer Scetbon , Chao Ma , Wenbo Gong , Edward Meeds

Batch normalization (BN) is comprised of a normalization component followed by an affine transformation and has become essential for training deep neural networks. Standard initialization of each BN in a network sets the affine…

计算机视觉与模式识别 · 计算机科学 2022-07-18 Jim Davis , Logan Frank

Batch Normalization (BN) has played a pivotal role in the success of deep learning by improving training stability, mitigating overfitting, and enabling more effective optimization. However, its adoption in deep reinforcement learning (DRL)…

机器学习 · 计算机科学 2025-09-30 Li Wang , Sudun , Xingjian Zhang , Wenjun Wu , Lei Huang

Layer normalization (LN) is a widely adopted deep learning technique especially in the era of foundation models. Recently, LN has been shown to be surprisingly effective in federated learning (FL) with non-i.i.d. data. However, exactly why…

机器学习 · 计算机科学 2024-02-16 Guojun Zhang , Mahdi Beitollahi , Alex Bie , Xi Chen

The exponential growth in LLM scales, with parameters soaring from billions to trillions, has necessitated distributed pretraining across large clusters comprising thousands to tens of thousands of devices. While hybrid parallelization…

分布式、并行与集群计算 · 计算机科学 2025-11-21 Lu Zhao , Rong Shi , Shaoqing Zhang , Shangchao Su , Ziqing Yin , Zhiyan Cui , Hongfeng Sun , Baoguo He , Yueqiang Chen , Liang Dong , Xiyuan Li , Lingbin Wang , Lijun Ma , Qiang Huang , Ting Liu , Chong Wang , Can Wei

Batch Normalization (BN) uses mini-batch statistics to normalize the activations during training, introducing dependence between mini-batch elements. This dependency can hurt the performance if the mini-batch size is too small, or if the…

机器学习 · 计算机科学 2020-04-02 Saurabh Singh , Shankar Krishnan

We introduce a constrained optimization framework for training transformers that behave like optimization descent algorithms. Specifically, we enforce layerwise descent constraints on the objective function and replace standard empirical…

机器学习 · 计算机科学 2026-01-27 Javier Porras-Valenzuela , Samar Hadou , Alejandro Ribeiro

Normalization is a vital process for any machine learning task as it controls the properties of data and affects model performance at large. The impact of particular forms of normalization, however, has so far been investigated in limited…

机器学习 · 计算机科学 2022-06-22 Chintan Trivedi , Konstantinos Makantasis , Antonios Liapis , Georgios N. Yannakakis

Low-Rank Adaptation (LoRA) has become one of the most widely used fine-tuning mechanisms for adapting large language models to new domains, tasks, and users. Yet adaptation performance alone can obscure an important failure mode: LoRA…

计算与语言 · 计算机科学 2026-05-29 Runze Xu , Arpit Garg , Hemanth Saratchandran , Simon Lucey

Orthogonalized-update optimizers such as Muon improve training of matrix-valued parameters, but existing extensions typically either rescale updates after orthogonalization or use heavier whitening-based preconditioners before it. We…

机器学习 · 计算机科学 2026-05-12 Da Chang , Qiankun Shi , Lvgang Zhang , Yu Li , Ruijie Zhang , Yao Lu , Yongxiang Liu , Ganzhao Yuan

Normalization techniques have only recently begun to be exploited in supervised learning tasks. Batch normalization exploits mini-batch statistics to normalize the activations. This was shown to speed up training and result in better…

机器学习 · 计算机科学 2017-03-08 Mengye Ren , Renjie Liao , Raquel Urtasun , Fabian H. Sinz , Richard S. Zemel

ReLU neural networks trained as surrogate models can be embedded exactly in mixed-integer linear programs (MILPs), enabling global optimization over the learned function. The tractability of the resulting MILP depends on structural…

最优化与控制 · 数学 2026-04-27 Calvin Tsay

Normalization layers are a staple in state-of-the-art deep neural network architectures. They are widely believed to stabilize training, enable higher learning rate, accelerate convergence and improve generalization, though the reason for…

机器学习 · 计算机科学 2019-03-13 Hongyi Zhang , Yann N. Dauphin , Tengyu Ma

Recent works (e.g., (Li and Arora, 2020)) suggest that the use of popular normalization schemes (including Batch Normalization) in today's deep learning can move it far from a traditional optimization viewpoint, e.g., use of exponentially…

机器学习 · 计算机科学 2020-10-07 Zhiyuan Li , Kaifeng Lyu , Sanjeev Arora