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We address the challenge of optimizing meta-parameters (hyperparameters) in machine learning, a key factor for efficient training and high model performance. Rather than relying on expensive meta-parameter search methods, we introduce…

Machine Learning · Computer Science 2025-07-10 Arsalan Sharifnassab , Saber Salehkaleybar , Richard Sutton

We propose a first-order stochastic optimization algorithm incorporating adaptive regularization applicable to machine learning problems in deep learning framework. The adaptive regularization is imposed by stochastic process in determining…

Machine Learning · Computer Science 2020-04-15 Kensuke Nakamura , Stefano Soatto , Byung-Woo Hong

When using active learning, smaller batch sizes are typically more efficient from a learning efficiency perspective. However, in practice due to speed and human annotator considerations, the use of larger batch sizes is necessary. While…

Machine Learning · Computer Science 2018-05-18 Garrett Beatty , Ethan Kochis , Michael Bloodgood

One of the main challenges in optimal scaling of large language models (LLMs) is the prohibitive cost of hyperparameter tuning, particularly learning rate $\eta$ and batch size $B$. While techniques like $\mu$P (Yang et al., 2022) provide…

Machine Learning · Computer Science 2025-01-10 Oleg Filatov , Jan Ebert , Jiangtao Wang , Stefan Kesselheim

Stochastic gradient descent with momentum (SGDM), in which a momentum term is added to SGD, has been well studied in both theory and practice. The theoretical studies show that the settings of the learning rate and momentum weight affect…

Machine Learning · Computer Science 2025-09-25 Keisuke Kamo , Hideaki Iiduka

We analyze the convergence behavior of stochastic gradient descent with momentum (SGDM) under dynamic learning-rate and batch-size schedules by introducing a novel and simpler Lyapunov function. We extend the existing theoretical framework…

Machine Learning · Computer Science 2025-10-13 Yuichi Kondo , Hideaki Iiduka

Prior research in resource scheduling for machine learning training workloads has largely focused on minimizing job completion times. Commonly, these model training workloads collectively search over a large number of parameter values that…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-09 Richard Liaw , Romil Bhardwaj , Lisa Dunlap , Yitian Zou , Joseph Gonzalez , Ion Stoica , Alexey Tumanov

We introduce Predictive Batch Scheduling (PBS), a novel training optimization technique that accelerates language model convergence by dynamically prioritizing high-loss samples during batch construction. Unlike curriculum learning…

Artificial Intelligence · Computer Science 2026-02-20 Sumedh Rasal

Based on a comprehensive study of 20 established data sets, we recommend training set sizes for any classification data set. We obtain our recommendations by systematically withholding training data and developing models through five…

Machine Learning · Computer Science 2021-02-19 Phillip Koshute , Jared Zook , Ian McCulloh

Large-batch training approaches have enabled researchers to utilize large-scale distributed processing and greatly accelerate deep-neural net (DNN) training. For example, by scaling the batch size from 256 to 32K, researchers have been able…

Machine Learning · Computer Science 2019-01-25 Yang You , Jonathan Hseu , Chris Ying , James Demmel , Kurt Keutzer , Cho-Jui Hsieh

Production scheduling is an essential task in manufacturing, with Reinforcement Learning (RL) emerging as a key solution. In a previous work, RL was utilized to solve an extended permutation flow shop scheduling problem (PFSSP) for a…

Machine Learning · Computer Science 2024-06-05 Arthur Müller , Felix Grumbach , Matthia Sabatelli

Preserving training dynamics across batch sizes is an important tool for practical machine learning as it enables the trade-off between batch size and wall-clock time. This trade-off is typically enabled by a scaling rule, for example, in…

A common way to speed up training of large convolutional networks is to add computational units. Training is then performed using data-parallel synchronous Stochastic Gradient Descent (SGD) with mini-batch divided between computational…

Computer Vision and Pattern Recognition · Computer Science 2017-09-15 Yang You , Igor Gitman , Boris Ginsburg

Efficient LLM pre-training requires well-tuned hyperparameters (HPs), including learning rate $\eta$ and weight decay $\lambda$. We study scaling laws for HPs: formulas for how to scale HPs as we scale model size N, dataset size D, and…

Machine Learning · Computer Science 2025-11-25 Shane Bergsma , Nolan Dey , Gurpreet Gosal , Gavia Gray , Daria Soboleva , Joel Hestness

Large-batch training has become a commonly used technique when training neural networks with a large number of GPU/TPU processors. As batch size increases, stochastic optimizers tend to converge to sharp local minima, leading to degraded…

Machine Learning · Computer Science 2022-01-25 Yong Liu , Xiangning Chen , Minhao Cheng , Cho-Jui Hsieh , Yang You

Scale of data and scale of computation infrastructures together enable the current deep learning renaissance. However, training large-scale deep architectures demands both algorithmic improvement and careful system configuration. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-21 Shang-Xuan Zou , Chun-Yen Chen , Jui-Lin Wu , Chun-Nan Chou , Chia-Chin Tsao , Kuan-Chieh Tung , Ting-Wei Lin , Cheng-Lung Sung , Edward Y. Chang

With an increasing demand for training powers for deep learning algorithms and the rapid growth of computation resources in data centers, it is desirable to dynamically schedule different distributed deep learning tasks to maximize resource…

Machine Learning · Computer Science 2019-05-03 Haibin Lin , Hang Zhang , Yifei Ma , Tong He , Zhi Zhang , Sheng Zha , Mu Li

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

Recent advances in the theoretical understanding of SGD led to a formula for the optimal batch size minimizing the number of effective data passes, i.e., the number of iterations times the batch size. However, this formula is of no…

Machine Learning · Computer Science 2021-11-22 Motasem Alfarra , Slavomir Hanzely , Alyazeed Albasyoni , Bernard Ghanem , Peter Richtarik

This paper presents a methodology for selecting the mini-batch size that minimizes Stochastic Gradient Descent (SGD) learning time for single and multiple learner problems. By decoupling algorithmic analysis issues from hardware and…

Machine Learning · Computer Science 2019-11-18 Michael P. Perrone , Haidar Khan , Changhoan Kim , Anastasios Kyrillidis , Jerry Quinn , Valentina Salapura