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Learning rate scheduling has evolved from the single global fixed rate of early SGD to sophisticated layer-wise adaptive strategies. We systematize this evolution into five generations: (Gen1) global fixed learning rates, (Gen2) global…

Artificial Intelligence · Computer Science 2026-05-01 Ming-Hong Yao , Di Wang , Jian Cui , Jin-Yan Chen , Zi-Hao Cui , Fa Wang , Chen Wei , Qiu-Ye Yu

Self-supervised learning makes significant progress in pre-training large models, but struggles with small models. Mainstream solutions to this problem rely mainly on knowledge distillation, which involves a two-stage procedure: first…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Shuai Zhao , Linchao Zhu , Xiaohan Wang , Yi Yang

Current deep learning architectures are growing larger in order to learn from complex datasets. These architectures require giant matrix multiplication operations to train millions of parameters. Conversely, there is another growing trend…

Machine Learning · Statistics 2016-12-06 Ryan Spring , Anshumali Shrivastava

A sequential training method for large-scale feedforward neural networks is presented. Each layer of the neural network is decoupled and trained separately. After the training is completed for each layer, they are combined together. The…

Machine Learning · Computer Science 2019-05-21 Jongrae Kim

Continual Learning (CL) methods have traditionally focused on mitigating catastrophic forgetting through gradient-based retraining, an approach ill-suited for deployed agents that must adapt in real time. We introduce our Adaptive Teaching…

Machine Learning · Computer Science 2025-11-04 Aman Jaglan , Jarrod Barnes

Deep neural networks have recently achieved state of the art performance thanks to new training algorithms for rapid parameter estimation and new regularization methods to reduce overfitting. However, in practice the network architecture…

Machine Learning · Computer Science 2016-03-04 Minyoung Kim , Luca Rigazio

The Learning Rate (LR) has a high impact on deep learning training performance. A common practice is to train a Deep Neural Network (DNN) multiple times with different LR policies to find the optimal LR policy, which has been widely…

Machine Learning · Computer Science 2024-10-11 Hongpeng Jin , Yanzhao Wu

Deep probabilistic time series forecasting has gained attention for its ability to provide nonlinear approximation and valuable uncertainty quantification for decision-making. However, existing models often oversimplify the problem by…

Machine Learning · Statistics 2024-10-22 Vincent Zhihao Zheng , Seongjin Choi , Lijun Sun

We study adaptive learning rate scheduling for norm-constrained optimizers (e.g., Muon and Lion). We introduce a generalized smoothness assumption under which local curvature decreases with the suboptimality gap and empirically verify that…

Machine Learning · Computer Science 2026-05-19 Artem Riabinin , Andrey Veprikov , Arman Bolatov , Martin Takáč , Aleksandr Beznosikov

Learning rate schedulers have shown great success in speeding up the convergence of learning algorithms in practice. However, their convergence to a minimum has not been proven theoretically. This difficulty mainly arises from the fact…

Machine Learning · Computer Science 2025-05-21 Dahlia Devapriya , Thulasi Tholeti , Janani Suresh , Sheetal Kalyani

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,…

Machine Learning · Statistics 2020-11-23 Xiaoxia Wu , Rachel Ward , Léon Bottou

With the growing importance of large network models and enormous training datasets, GPUs have become increasingly necessary to train neural networks. This is largely because conventional optimization algorithms rely on stochastic gradient…

Machine Learning · Computer Science 2016-05-09 Gavin Taylor , Ryan Burmeister , Zheng Xu , Bharat Singh , Ankit Patel , Tom Goldstein

Deep reinforcement learning (DRL) agents are trained through trial-and-error interactions with the environment. This leads to a long training time for dense neural networks to achieve good performance. Hence, prohibitive computation and…

Machine Learning · Computer Science 2022-05-09 Ghada Sokar , Elena Mocanu , Decebal Constantin Mocanu , Mykola Pechenizkiy , Peter Stone

The lack of transparency of neural networks stays a major break for their use. The Layerwise Relevance Propagation technique builds heat-maps representing the relevance of each input in the model s decision. The relevance spreads backward…

Machine Learning · Computer Science 2020-02-26 Mathilde Guillemot , Catherine Heusele , Rodolphe Korichi , Sylvianne Schnebert , Liming Chen

As emerging deep neural network (DNN) models continue to grow in size, using large GPU clusters to train DNNs is becoming an essential requirement to achieving acceptable training times. In this paper, we consider the case where future…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-25 Seo Jin Park , Joshua Fried , Sunghyun Kim , Mohammad Alizadeh , Adam Belay

Artificial Neural Networks (ANNs) became popular due to their successful application difficult problems such image and speech recognition. However, when practitioners want to design an ANN they need to undergo laborious process of selecting…

Neural and Evolutionary Computing · Computer Science 2021-03-24 Pedro Carvalho , Nuno Lourenço , Penousal Machado

We provide a theoretical explanation for the effectiveness of gradient clipping in training deep neural networks. The key ingredient is a new smoothness condition derived from practical neural network training examples. We observe that…

Optimization and Control · Mathematics 2020-02-12 Jingzhao Zhang , Tianxing He , Suvrit Sra , Ali Jadbabaie

We propose a new per-layer adaptive step-size procedure for stochastic first-order optimization methods for minimizing empirical loss functions in deep learning, eliminating the need for the user to tune the learning rate (LR). The proposed…

Machine Learning · Computer Science 2023-07-07 Achraf Bahamou , Donald Goldfarb

We describe a layer-by-layer algorithm for training deep convolutional networks, where each step involves gradient updates for a two layer network followed by a simple clustering algorithm. Our algorithm stems from a deep generative model…

Machine Learning · Computer Science 2018-06-26 Eran Malach , Shai Shalev-Shwartz

We apply methods from randomized numerical linear algebra (RandNLA) to develop improved algorithms for the analysis of large-scale time series data. We first develop a new fast algorithm to estimate the leverage scores of an autoregressive…

Methodology · Statistics 2021-11-02 Ali Eshragh , Fred Roosta , Asef Nazari , Michael W. Mahoney
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