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We present an adaptive regularization algorithm that can be effectively applied to the optimization problem in deep learning framework. Our regularization algorithm aims to take into account the fitness of data to the current state of model…

机器学习 · 计算机科学 2019-09-02 Junghee Cho , Junseok Kwon , Byung-Woo Hong

Normalization Layers (NLs) are widely used in modern deep-learning architectures. Despite their apparent simplicity, their effect on optimization is not yet fully understood. This paper introduces a spherical framework to study the…

机器学习 · 计算机科学 2022-05-20 Simon Roburin , Yann de Mont-Marin , Andrei Bursuc , Renaud Marlet , Patrick Pérez , Mathieu Aubry

In this work, we offer a theoretical analysis of two modern optimization techniques for training large and complex models: (i) adaptive optimization algorithms, such as Adam, and (ii) the model exponential moving average (EMA).…

机器学习 · 计算机科学 2024-10-31 Kwangjun Ahn , Ashok Cutkosky

Stochastic gradient descent (SGD) optimization methods are nowadays the method of choice for the training of deep neural networks (DNNs) in artificial intelligence systems. In practically relevant training problems, usually not the plain…

最优化与控制 · 数学 2024-08-01 Steffen Dereich , Arnulf Jentzen

In this paper, we present a cross-entropy optimization method for hyperparameter optimization in stochastic gradient-based approaches to train deep neural networks. The value of a hyperparameter of a learning algorithm often has great…

机器学习 · 计算机科学 2024-09-17 Kevin Li , Fulu Li

Adaptive gradient methods such as Adam have gained extreme popularity due to their success in training complex neural networks and less sensitivity to hyperparameter tuning compared to SGD. However, it has been recently shown that Adam can…

机器学习 · 计算机科学 2019-12-11 Pedro Savarese

The performance of optimizers, particularly in deep learning, depends considerably on their chosen hyperparameter configuration. The efficacy of optimizers is often studied under near-optimal problem-specific hyperparameters, and finding…

机器学习 · 计算机科学 2020-08-18 Prabhu Teja Sivaprasad , Florian Mai , Thijs Vogels , Martin Jaggi , François Fleuret

Adaptive gradient methods have become popular in optimizing deep neural networks; recent examples include AdaGrad and Adam. Although Adam usually converges faster, variations of Adam, for instance, the AdaBelief algorithm, have been…

机器学习 · 计算机科学 2024-10-29 Kushal Chakrabarti , Nikhil Chopra

We propose Adam-SHANG, a Lyapunov-guided Adam-type method that couples momentum, adaptive preconditioning, and a curvature-aware correction through a more stable lagged-preconditioner update. For stochastic smooth convex optimization, we…

最优化与控制 · 数学 2026-05-14 Yaxin Yu , Long Chen , Minfu Feng

The success of deep learning can be attributed to various factors such as increase in computational power, large datasets, deep convolutional neural networks, optimizers etc. Particularly, the choice of optimizer affects the generalization,…

机器学习 · 计算机科学 2021-09-10 Anirudh Maiya , Inumella Sricharan , Anshuman Pandey , Srinivas K. S

Averaging techniques such as Ruppert--Polyak averaging and exponential movering averaging (EMA) are powerful approaches to accelerate optimization procedures of stochastic gradient descent (SGD) optimization methods such as the popular ADAM…

最优化与控制 · 数学 2025-05-29 Arnulf Jentzen , Julian Kranz , Adrian Riekert

We present a class of novel optimisers for training neural networks that makes use of the Riemannian metric naturally induced when the loss landscape is embedded in higher-dimensional space. This is the same metric that underlies common…

机器学习 · 计算机科学 2025-09-05 Thomas R. Harvey

Optimization algorithms such as AdaGrad and Adam have significantly advanced the training of deep models by dynamically adjusting the learning rate during the optimization process. However, adhoc tuning of learning rates poses a challenge,…

机器学习 · 计算机科学 2024-12-30 Yuanzhe Tao , Huizhuo Yuan , Xun Zhou , Yuan Cao , Quanquan Gu

In the setting of continual learning, a network is trained on a sequence of tasks, and suffers from catastrophic forgetting. To balance plasticity and stability of network in continual learning, in this paper, we propose a novel network…

机器学习 · 计算机科学 2021-03-18 Shipeng Wang , Xiaorong Li , Jian Sun , Zongben Xu

Stochastic versions of the alternating direction method of multiplier (ADMM) and its variants play a key role in many modern large-scale machine learning problems. In this work, we introduce a unified algorithmic framework called…

最优化与控制 · 数学 2024-04-23 Chris Junchi Li

Adaptive first-order optimizers are fundamental tools in deep learning, although they may suffer from poor generalization due to the nonuniform gradient scaling. In this work, we propose AdamL, a novel variant of the Adam optimizer, that…

机器学习 · 统计学 2023-12-27 Lu Xia , Stefano Massei

Solving a problem with a deep learning model requires researchers to optimize the loss function with a certain optimization method. The research community has developed more than a hundred different optimizers, yet there is scarce data on…

软件工程 · 计算机科学 2023-03-08 Dmitry Pasechnyuk , Anton Prazdnichnykh , Mikhail Evtikhiev , Timofey Bryksin

As the default optimizer for training large language models, AdamW has achieved remarkable success in deep learning. However, its convergence behavior is not theoretically well-understood. This paper establishes the convergence rate…

机器学习 · 计算机科学 2025-10-06 Huan Li , Yiming Dong , Zhouchen Lin

Optimization is an integral part of modern deep learning. Recently, the concept of learned optimizers has emerged as a way to accelerate this optimization process by replacing traditional, hand-crafted algorithms with meta-learned…

机器学习 · 计算机科学 2023-12-13 Jan Sobotka , Petr Šimánek , Daniel Vašata

Learned optimizers -- neural networks that are trained to act as optimizers -- have the potential to dramatically accelerate training of machine learning models. However, even when meta-trained across thousands of tasks at huge…

机器学习 · 计算机科学 2022-09-23 James Harrison , Luke Metz , Jascha Sohl-Dickstein