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Quantization-aware training (QAT) has achieved remarkable success in low-bit ($\leq$4-bit) quantization for classification networks. However, when applied to more complex visual tasks such as object detection and image segmentation,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Zhaoyang Wang , Dong Wang

Stochastic optimization algorithms using exponential moving averages of the past gradients, such as ADAM, RMSProp and AdaGrad, have been having great successes in many applications, especially in training deep neural networks. ADAM in…

Machine Learning · Computer Science 2026-01-30 Ruiqi Wang , Diego Klabjan

It is known that adaptive optimization algorithms represent the key pillar behind the rise of the Machine Learning field. In the Optimization literature numerous studies have been devoted to accelerated gradient methods but only recently…

Optimization and Control · Mathematics 2024-02-02 Cristian Daniel Alecsa

Quantized neural networks are well known for reducing the latency, power consumption, and model size without significant harm to the performance. This makes them highly appropriate for systems with limited resources and low power capacity.…

Machine Learning · Computer Science 2024-06-11 Moshe Kimhi , Tal Rozen , Avi Mendelson , Chaim Baskin

Recent advancements in large language models (LLMs) are propelling us toward artificial general intelligence with their remarkable emergent abilities and reasoning capabilities. However, the substantial computational and memory requirements…

Machine Learning · Computer Science 2024-10-10 Ruihao Gong , Yang Yong , Shiqiao Gu , Yushi Huang , Chengtao Lv , Yunchen Zhang , Xianglong Liu , Dacheng Tao

Modern recommendation systems frequently employ online learning to dynamically update their models with freshly collected data. The most commonly used optimizer for updating neural networks in these contexts is the Adam optimizer, which…

Machine Learning · Computer Science 2025-06-05 Shaowen Wang , Anan Liu , Jian Xiao , Huan Liu , Yuekui Yang , Cong Xu , Qianqian Pu , Suncong Zheng , Wei Zhang , Di Wang , Jie Jiang , Jian Li

Network quantization generally converts full-precision weights and/or activations into low-bit fixed-point values in order to accelerate an inference process. Recent approaches to network quantization further discretize the gradients into…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Dohyung Kim , Junghyup Lee , Jeimin Jeon , Jaehyeon Moon , Bumsub Ham

Normalization techniques are a boon for modern deep learning. They let weights converge more quickly with often better generalization performances. It has been argued that the normalization-induced scale invariance among the weights…

Machine Learning · Computer Science 2021-01-19 Byeongho Heo , Sanghyuk Chun , Seong Joon Oh , Dongyoon Han , Sangdoo Yun , Gyuwan Kim , Youngjung Uh , Jung-Woo Ha

To efficiently train large-scale models, low-bit gradient communication compresses full-precision gradients on local GPU nodes into low-precision ones for higher gradient synchronization efficiency among GPU nodes. However, it often…

Machine Learning · Computer Science 2024-12-02 Xingyu Xie , Zhijie Lin , Kim-Chuan Toh , Pan Zhou

Adaptive optimization methods are well known to achieve superior convergence relative to vanilla gradient methods. The traditional viewpoint in optimization, particularly in convex optimization, explains this improved performance by arguing…

Machine Learning · Computer Science 2022-11-07 Kaiqi Jiang , Dhruv Malik , Yuanzhi Li

Self-attention is a key enabler of state-of-art accuracy for various transformer-based Natural Language Processing models. This attention mechanism calculates a correlation score for each word with respect to the other words in a sentence.…

Computation and Language · Computer Science 2022-04-18 Zheng Li , Soroush Ghodrati , Amir Yazdanbakhsh , Hadi Esmaeilzadeh , Mingu Kang

Adaptive Precision Training: Quantify Back Propagation in Neural Networks with Fixed-point Numbers. Recent emerged quantization technique has been applied to inference of deep neural networks for fast and efficient execution. However,…

Machine Learning · Computer Science 2020-03-06 Xishan Zhang , Shaoli Liu , Rui Zhang , Chang Liu , Di Huang , Shiyi Zhou , Jiaming Guo , Yu Kang , Qi Guo , Zidong Du , Yunji Chen

Optimization is essential in deep learning. The foundational method upon which most optimizers are built is momentum-based stochastic gradient descent. However, it suffers from two key drawbacks. First, it has noisy and varying gradients,…

Machine Learning · Computer Science 2026-05-22 Saurabh Saini , Kapil Ahuja , Thomas Wick , Saurav Kumar

Large Language Models (LLMs) have demonstrated remarkable success across various domains, yet their optimization remains a significant challenge due to the complex and high-dimensional loss landscapes they inhabit. While adaptive optimizers…

Machine Learning · Computer Science 2025-10-13 Liming Liu , Zhenghao Xu , Zixuan Zhang , Hao Kang , Zichong Li , Chen Liang , Weizhu Chen , Tuo Zhao

We investigate the convergence rates and data sample sizes required for training a machine learning model using a stochastic gradient descent (SGD) algorithm, where data points are sampled based on either their loss value or uncertainty…

Machine Learning · Computer Science 2024-11-26 Daniel Haimovich , Dima Karamshuk , Fridolin Linder , Niek Tax , Milan Vojnovic

Despite the popularity of the Adam optimizer in practice, most theoretical analyses study Stochastic Gradient Descent (SGD) as a proxy for Adam, and little is known about how the solutions found by Adam differ. In this paper, we show that…

Machine Learning · Computer Science 2025-11-05 Xinghan Li , Haodong Wen , Kaifeng Lyu

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…

Optimization and Control · Mathematics 2025-04-29 Steffen Dereich , Arnulf Jentzen , Adrian Riekert

The rapid progress of large language models (LLMs) is increasingly constrained by memory and deployment costs, motivating compression methods for practical deployment. Many state-of-the-art compression pipelines leverage the low-rank…

The learning rate warmup heuristic achieves remarkable success in stabilizing training, accelerating convergence and improving generalization for adaptive stochastic optimization algorithms like RMSprop and Adam. Here, we study its…

Machine Learning · Computer Science 2021-10-27 Liyuan Liu , Haoming Jiang , Pengcheng He , Weizhu Chen , Xiaodong Liu , Jianfeng Gao , Jiawei Han

When training neural networks with simulated quantization, we observe that quantized weights can, rather unexpectedly, oscillate between two grid-points. The importance of this effect and its impact on quantization-aware training (QAT) are…

Machine Learning · Computer Science 2022-06-30 Markus Nagel , Marios Fournarakis , Yelysei Bondarenko , Tijmen Blankevoort
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