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We show that learning-rate schedules for large model training behave surprisingly similar to a performance bound from non-smooth convex optimization theory. We provide a bound for the constant schedule with linear cooldown; in particular,…

Machine Learning · Computer Science 2025-07-24 Fabian Schaipp , Alexander Hägele , Adrien Taylor , Umut Simsekli , Francis Bach

We investigate the role of learning rate scheduling in the large-scale pre-training of large language models, focusing on its influence on downstream performance after supervised fine-tuning (SFT). Decay-based learning rate schedulers are…

Computation and Language · Computer Science 2026-03-18 Kazuki Yano , Shun Kiyono , Sosuke Kobayashi , Sho Takase , Jun Suzuki

Large-batch training has been essential in leveraging large-scale datasets and models in deep learning. While it is computationally beneficial to use large batch sizes, it often requires a specially designed learning rate (LR) schedule to…

Machine Learning · Computer Science 2021-07-14 Chiheon Kim , Saehoon Kim , Jongmin Kim , Donghoon Lee , Sungwoong Kim

As both model and dataset sizes continue to scale rapidly, conventional pretraining strategies with fixed compute budgets-such as cosine learning rate schedules-are increasingly inadequate for large-scale training. Recent alternatives,…

Machine Learning · Computer Science 2025-11-04 Minhak Song , Beomhan Baek , Kwangjun Ahn , Chulhee Yun

Due to the scarcity of high-quality data, large language models (LLMs) are often trained on mixtures of data with varying quality levels, even after sophisticated data curation. A natural approach to better leverage high-quality data is…

Machine Learning · Computer Science 2026-05-15 Kairong Luo , Zhenbo Sun , Haodong Wen , Xinyu Shi , Jiarui Cui , Chenyi Dang , Kaifeng Lyu , Wenguang Chen

Learning rate scheduling is crucial for training large language models, yet understanding the optimal annealing strategies across different model configurations remains challenging. In this work, we investigate the transferability of…

Machine Learning · Computer Science 2025-12-17 Siqi Wang , Zhengyu Chen , Teng Xiao , Zheqi Lv , Jinluan Yang , Xunliang Cai , Jingang Wang , Xiaomeng Li

Recent advances in learning rate (LR) scheduling have demonstrated the effectiveness of decay-free approaches that eliminate the traditional decay phase while maintaining competitive performance. Model merging techniques have emerged as…

Computation and Language · Computer Science 2025-08-12 Changxin Tian , Jiapeng Wang , Qian Zhao , Kunlong Chen , Jia Liu , Ziqi Liu , Jiaxin Mao , Wayne Xin Zhao , Zhiqiang Zhang , Jun Zhou

By encoding time series as a string of numerical digits, we can frame time series forecasting as next-token prediction in text. Developing this approach, we find that large language models (LLMs) such as GPT-3 and LLaMA-2 can surprisingly…

Machine Learning · Computer Science 2024-08-13 Nate Gruver , Marc Finzi , Shikai Qiu , Andrew Gordon Wilson

Setting the learning rate (LR) for a deep learning model is a critical part of successful training. Choosing LRs is often done empirically with trial and error. In this work, we explore a solvable model of optimal LR schedules for a…

Disordered Systems and Neural Networks · Physics 2026-05-11 Blake Bordelon , Francesco Mori

Large language models (LLMs) achieve remarkable advancements by leveraging tools to interact with environments, a critical step toward generalized AI. However, the standard supervised fine-tuning (SFT) approach, which relies on large-scale…

Computation and Language · Computer Science 2025-08-27 Junjie Ye , Yilong Wu , Sixian Li , Yuming Yang , Zhiheng Xi , Tao Gui , Qi Zhang , Xuanjing Huang , Peng Wang , Zhongchao Shi , Jianping Fan , Zhengyin Du

Large language models (LLMs) are routinely pre-trained on billions of tokens, only to start the process over again once new data becomes available. A much more efficient solution is to continually pre-train these models, saving significant…

The training of large language models (LLMs) is expensive. In this paper, we study data-efficient approaches for pre-training LLMs, i.e., techniques that aim to optimize the Pareto frontier of model quality and training resource/data…

Increasing the batch size during training -- a ''batch ramp'' -- is a promising strategy to accelerate large language model pretraining. While for SGD, doubling the batch size can be equivalent to halving the learning rate, the optimal…

Machine Learning · Computer Science 2025-10-17 Alexandru Meterez , Depen Morwani , Jingfeng Wu , Costin-Andrei Oncescu , Cengiz Pehlevan , Sham Kakade

In Large Language Model (LLM) inference, the output length of an LLM request is typically regarded as not known a priori. Consequently, most LLM serving systems employ a simple First-come-first-serve (FCFS) scheduling strategy, leading to…

Machine Learning · Computer Science 2024-08-29 Yichao Fu , Siqi Zhu , Runlong Su , Aurick Qiao , Ion Stoica , Hao Zhang

Existing learning rate schedules that do not require specification of the optimization stopping step T are greatly out-performed by learning rate schedules that depend on T. We propose an approach that avoids the need for this stopping time…

Machine Learning · Computer Science 2024-10-31 Aaron Defazio , Xingyu Alice Yang , Harsh Mehta , Konstantin Mishchenko , Ahmed Khaled , Ashok Cutkosky

Pre-trained language models (PLMs) have achieved remarkable success in NLP tasks. Despite the great success, mainstream solutions largely follow the pre-training then finetuning paradigm, which brings in both high deployment costs and low…

Computation and Language · Computer Science 2023-05-03 Xiang Li , Xin Jiang , Xuying Meng , Aixin Sun , Yequan Wang

Finding the optimal learning rate for language model pretraining is a challenging task. This is not only because there is a complicated correlation between learning rate, batch size, number of training tokens, model size, and other…

Computation and Language · Computer Science 2024-09-13 Yikang Shen , Matthew Stallone , Mayank Mishra , Gaoyuan Zhang , Shawn Tan , Aditya Prasad , Adriana Meza Soria , David D. Cox , Rameswar Panda

Fueled by their remarkable ability to tackle diverse tasks across multiple domains, large language models (LLMs) have grown at an unprecedented rate, with some recent models containing trillions of parameters. This growth is accompanied by…

Machine Learning · Computer Science 2025-05-30 Athanasios Glentis , Jiaxiang Li , Qiulin Shang , Andi Han , Ioannis Tsaknakis , Quan Wei , Mingyi Hong

Model selection is a critical step in time series forecasting, traditionally requiring extensive performance evaluations across various datasets. Meta-learning approaches aim to automate this process, but they typically depend on…

Machine Learning · Computer Science 2025-04-04 Wang Wei , Tiankai Yang , Hongjie Chen , Ryan A. Rossi , Yue Zhao , Franck Dernoncourt , Hoda Eldardiry

Curriculum learning-organizing training data from easy to hard-has improved efficiency across machine learning domains, yet remains underexplored for language model pretraining. We present the first systematic investigation of curriculum…

Computation and Language · Computer Science 2026-01-29 Yang Zhang , Amr Mohamed , Hadi Abdine , Guokan Shang , Michalis Vazirgiannis
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