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Optimizing deep neural networks is largely thought to be an empirical process, requiring manual tuning of several hyper-parameters, such as learning rate, weight decay, and dropout rate. Arguably, the learning rate is the most important of…

机器学习 · 计算机科学 2020-08-04 Rahul Yedida , Snehanshu Saha , Tejas Prashanth

We introduce a general method for improving the convergence rate of gradient-based optimizers that is easy to implement and works well in practice. We demonstrate the effectiveness of the method in a range of optimization problems by…

机器学习 · 计算机科学 2018-08-23 Atilim Gunes Baydin , Robert Cornish , David Martinez Rubio , Mark Schmidt , Frank Wood

Recurrent neural network is a powerful model that learns temporal patterns in sequential data. For a long time, it was believed that recurrent networks are difficult to train using simple optimizers, such as stochastic gradient descent, due…

神经与进化计算 · 计算机科学 2015-04-20 Tomas Mikolov , Armand Joulin , Sumit Chopra , Michael Mathieu , Marc'Aurelio Ranzato

Gradient clipping plays a vital role in training large-scale automatic speech recognition (ASR) models. It is typically applied to minibatch gradients to prevent gradient explosion, and to the individual sample gradients to mitigate…

密码学与安全 · 计算机科学 2024-06-07 Lun Wang , Om Thakkar , Zhong Meng , Nicole Rafidi , Rohit Prabhavalkar , Arun Narayanan

Low-rank architectures have become increasingly important for efficient large language model (LLM) pre-training, providing substantial reductions in both parameter complexity and memory/computational demands. Despite these advantages,…

机器学习 · 计算机科学 2026-05-14 Boao Kong , Junzhu Liang , Yuxi Liu , Renjia Deng , Kun Yuan

Training deep neural networks is a highly nontrivial task, involving carefully selecting appropriate training algorithms, scheduling step sizes and tuning other hyperparameters. Trying different combinations can be quite labor-intensive and…

机器学习 · 计算机科学 2017-06-13 Kaifeng Lv , Shunhua Jiang , Jian Li

Adaptive gradient-based optimizers such as Adagrad and Adam are crucial for achieving state-of-the-art performance in machine translation and language modeling. However, these methods maintain second-order statistics for each parameter,…

机器学习 · 计算机科学 2019-09-13 Rohan Anil , Vineet Gupta , Tomer Koren , Yoram Singer

A recent line of research has shown that gradient-based algorithms with random initialization can converge to the global minima of the training loss for over-parameterized (i.e., sufficiently wide) deep neural networks. However, the…

机器学习 · 计算机科学 2019-06-12 Difan Zou , Quanquan Gu

The memory challenges associated with training Large Language Models (LLMs) have become a critical concern, particularly when using the Adam optimizer. To address this issue, numerous memory-efficient techniques have been proposed, with…

机器学习 · 计算机科学 2025-02-12 Yiming Chen , Yuan Zhang , Yin Liu , Kun Yuan , Zaiwen Wen

The massive interest in deep neural networks (DNNs) for both computer vision and natural language processing has been sparked by the growth in computational power. However, this led to an increase in the memory footprint, to a point where…

计算机视觉与模式识别 · 计算机科学 2023-10-02 Edouard Yvinec , Arnaud Dapogny , Kevin Bailly

To utilize pre-trained neural networks on edge and mobile devices, we often require efficient adaptation to user-specific runtime data distributions while operating under limited compute and memory resources. On-device retraining with a…

机器学习 · 计算机科学 2026-03-04 Irene Tenison , Soumyajit Chatterjee , Fahim Kawsar , Mohammad Malekzadeh

Gradient descent based optimization methods are the methods of choice to train deep neural networks in machine learning. Beyond the standard gradient descent method, also suitable modified variants of standard gradient descent involving…

最优化与控制 · 数学 2025-04-29 Steffen Dereich , Arnulf Jentzen , Adrian Riekert

As foundation models continue to scale, pretraining increasingly relies on data-parallel distributed optimization, making bandwidth-limited gradient synchronization a key bottleneck. Orthogonally, projection-based low-rank optimizers were…

机器学习 · 计算机科学 2026-02-10 Sizhe Dang , Jiaqi Shao , Xiaodong Zheng , Guang Dai , Yan Song , Haishan Ye

The recently proposed optimization algorithm for deep neural networks Sharpness Aware Minimization (SAM) suggests perturbing parameters before gradient calculation by a gradient ascent step to guide the optimization into parameter space…

机器学习 · 计算机科学 2025-10-03 Marlon Becker , Frederick Altrock , Benjamin Risse

State-of-the-art training algorithms for deep learning models are based on stochastic gradient descent (SGD). Recently, many variations have been explored: perturbing parameters for better accuracy (such as in Extragradient), limiting SGD…

机器学习 · 计算机科学 2022-03-23 Amirkeivan Mohtashami , Martin Jaggi , Sebastian U. Stich

Low-rank training methods reduce the number of trainable parameters by re-parameterizing the weights with matrix decompositions (e.g., singular value decomposition). However, enforcing a fixed low-rank structure caps the rank of the weight…

机器学习 · 计算机科学 2025-10-16 Hyuntak Shin , Aecheon Jung , Sungeun Hong , Sunwoo Lee

Low-rank optimization has emerged as a promising approach to enabling memory-efficient training of large language models (LLMs). Existing low-rank optimization methods typically project gradients onto a low-rank subspace, reducing the…

Training large language models (LLMs) relies on adaptive optimizers such as Adam, which introduce extra operations and require significantly more memory to maintain first- and second-order moments than SGD. While recent works such as…

机器学习 · 计算机科学 2026-05-22 Athanasios Glentis , Jiaxiang Li , Andi Han , Mingyi Hong

How to train deep neural networks (DNNs) to generalize well is a central concern in deep learning, especially for severely overparameterized networks nowadays. In this paper, we propose an effective method to improve the model…

机器学习 · 计算机科学 2022-06-28 Yang Zhao , Hao Zhang , Xiuyuan Hu

The deep neural network (DNN) based AI applications on the edge require both low-cost computing platforms and high-quality services. However, the limited memory, computing resources, and power budget of the edge devices constrain the…

机器学习 · 计算机科学 2021-05-14 Yao Chen , Cole Hawkins , Kaiqi Zhang , Zheng Zhang , Cong Hao