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Deep learning has non-convex loss landscape and its optimization dynamics is hard to analyze or control. Nevertheless, the dynamics can be empirically convex-like across various tasks, models, optimizers, hyperparameters, etc. In this work,…

机器学习 · 计算机科学 2026-02-10 Zhiqi Bu , Shiyun Xu , Jialin Mao

Robustness and resource-efficiency are two highly desirable properties for modern machine learning models. However, achieving them jointly remains a challenge. In this paper, we identify high learning rates as a facilitator for…

机器学习 · 计算机科学 2025-08-06 Melih Barsbey , Lucas Prieto , Stefanos Zafeiriou , Tolga Birdal

Recent research has shown the existence of significant redundancy in large Transformer models. One can prune the redundant parameters without significantly sacrificing the generalization performance. However, we question whether the…

计算与语言 · 计算机科学 2022-02-15 Chen Liang , Haoming Jiang , Simiao Zuo , Pengcheng He , Xiaodong Liu , Jianfeng Gao , Weizhu Chen , Tuo Zhao

Large Language Models (LLMs) for public use require continuous pre-training to remain up-to-date with the latest data. The models also need to be fine-tuned with specific instructions to maintain their ability to follow instructions…

计算与语言 · 计算机科学 2024-10-15 Ishan Jindal , Chandana Badrinath , Pranjal Bharti , Lakkidi Vinay , Sachin Dev Sharma

Adjusting the learning rate schedule in stochastic gradient methods is an important unresolved problem which requires tuning in practice. If certain parameters of the loss function such as smoothness or strong convexity constants are known,…

机器学习 · 统计学 2020-11-23 Xiaoxia Wu , Rachel Ward , Léon Bottou

Large Language Models (LLMs) represent the recent success of deep learning in achieving remarkable human-like predictive performance. It has become a mainstream strategy to leverage fine-tuning to adapt LLMs for various real-world…

机器学习 · 计算机科学 2023-09-19 Hongpeng Jin , Wenqi Wei , Xuyu Wang , Wenbin Zhang , Yanzhao Wu

Optimal configuration of the learning rate (LR) is a fundamental yet formidable challenge in large-scale pre-training. Given the stringent trade-off between training costs and model performance, the pivotal question is whether the optimal…

人工智能 · 计算机科学 2026-01-09 Yunhua Zhou , Shuhao Xing , Junhao Huang , Xipeng Qiu , Qipeng Guo

Reinforcement Learning (RL) for training Large Language Models is notoriously unstable. While recent studies attribute this to "training inference mismatch stemming" from inconsistent hybrid engines, standard remedies, such as Importance…

机器学习 · 计算机科学 2026-02-03 Yaxiang Zhang , Yingru Li , Jiacai Liu , Jiawei Xu , Ziniu Li , Qian Liu , Haoyuan Li

We study two time-scale linear stochastic approximation algorithms, which can be used to model well-known reinforcement learning algorithms such as GTD, GTD2, and TDC. We present finite-time performance bounds for the case where the…

机器学习 · 计算机科学 2019-07-16 Harsh Gupta , R. Srikant , Lei Ying

Learning rate warmup is a popular and practical technique in training large-scale deep neural networks. Despite the huge success in practice, the theoretical advantages of this strategy of gradually increasing the learning rate at the…

机器学习 · 计算机科学 2025-09-10 Yuxing Liu , Yuze Ge , Rui Pan , An Kang , Tong Zhang

Deep learning have achieved promising results on a wide spectrum of AI applications. Larger datasets and models consistently yield better performance. However, we generally spend longer training time on more computation and communication.…

机器学习 · 计算机科学 2021-11-03 Xiaoxin He , Fuzhao Xue , Xiaozhe Ren , Yang You

Recent advances in foundation models have emphasized the need to align pre-trained models with specialized domains using small, curated datasets. Studies on these foundation models underscore the importance of low-data training and…

机器学习 · 计算机科学 2024-10-17 Zihang Liu , Yuanzhe Hu , Tianyu Pang , Yefan Zhou , Pu Ren , Yaoqing Yang

By searching for shared inductive biases across tasks, meta-learning promises to accelerate learning on novel tasks, but with the cost of solving a complex bilevel optimization problem. We introduce and rigorously define the trade-off…

机器学习 · 计算机科学 2021-04-15 Katelyn Gao , Ozan Sener

This paper proposes a novel formulation for reinforcement learning (RL) with large language models, explaining why and under what conditions the true sequence-level reward can be optimized via a surrogate token-level objective in policy…

Large Language Models (LLMs) have attracted significant attention due to their human-like language understanding and generation capabilities, as well as their applicability across various domains. These models, characterized by their…

机器学习 · 计算机科学 2024-11-14 Kazuki Fujii , Taishi Nakamura , Rio Yokota

Learning rate scheduling is essential in transformer training, where the final annealing plays a crucial role in getting the best performance. However, the mechanisms behind this cooldown phase, with its characteristic drop in loss, remain…

机器学习 · 计算机科学 2025-08-08 Aleksandr Dremov , Alexander Hägele , Atli Kosson , Martin Jaggi

The choice of initial learning rate can have a profound effect on the performance of deep networks. We present a class of neural networks with solvable training dynamics, and confirm their predictions empirically in practical deep learning…

机器学习 · 统计学 2020-03-05 Aitor Lewkowycz , Yasaman Bahri , Ethan Dyer , Jascha Sohl-Dickstein , Guy Gur-Ari

Pretraining large language models is a costly process. To make this process more efficient, several methods have been proposed to optimize model architecture/parametrization and hardware use. On the parametrization side, $\mu P$ (Maximal…

机器学习 · 计算机科学 2025-06-19 Soufiane Hayou , Liyuan Liu

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…

机器学习 · 计算机科学 2025-10-17 Alexandru Meterez , Depen Morwani , Jingfeng Wu , Costin-Andrei Oncescu , Cengiz Pehlevan , Sham Kakade

Despite the increasing prevalence of large language models (LLMs), we still have a limited understanding of how their representational spaces are structured. This limits our ability to interpret how and what they learn or relate them to…