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Policy gradient methods are a powerful family of reinforcement learning algorithms for continuous control that optimize a policy directly. However, standard first-order methods often converge slowly. Second-order methods can accelerate…

系统与控制 · 电气工程与系统科学 2025-11-05 Amirreza Valaei , Arash Bahari Kordabad , Sadegh Soudjani

Balancing convergence speed, generalization capability, and computational efficiency remains a core challenge in deep learning optimization. First-order gradient descent methods, epitomized by stochastic gradient descent (SGD) and Adam,…

Training in supervised deep learning is computationally demanding, and the convergence behavior is usually not fully understood. We introduce and study a second-order stochastic quasi-Gauss-Newton (SQGN) optimization method that combines…

机器学习 · 计算机科学 2020-07-02 Christopher Thiele , Mauricio Araya-Polo , Detlef Hohl

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

In the training of neural networks, adaptive moment estimation (Adam) typically converges fast but exhibits suboptimal generalization performance. A widely accepted explanation for its defect in generalization is that it often tends to…

机器学习 · 计算机科学 2026-03-10 Tao Shi , Liangming Chen , Long Jin , Mengchu Zhou

Natural policy gradient methods are popular reinforcement learning methods that improve the stability of policy gradient methods by utilizing second-order approximations to precondition the gradient with the inverse of the…

机器学习 · 计算机科学 2022-10-12 Brennan Gebotys , Alexander Wong , David A. Clausi

The tuning of hyperparameters in reinforcement learning (RL) is critical, as these parameters significantly impact an agent's performance and learning efficiency. Dynamic adjustment of hyperparameters during the training process can…

机器学习 · 计算机科学 2024-09-05 Felix Pfeiffer , Shahram Eivazi

Alternating Direction Method of Multipliers (ADMM) has been used successfully in many conventional machine learning applications and is considered to be a useful alternative to Stochastic Gradient Descent (SGD) as a deep learning optimizer.…

最优化与控制 · 数学 2021-07-07 Junxiang Wang , Fuxun Yu , Xiang Chen , Liang Zhao

Adaptive gradient optimization methods, such as Adam, are prevalent in training deep neural networks across diverse machine learning tasks due to their ability to achieve faster convergence. However, these methods often suffer from…

机器学习 · 计算机科学 2025-02-12 Abulikemu Abuduweili , Changliu Liu

We propose an efficient method for approximating natural gradient descent in neural networks which we call Kronecker-Factored Approximate Curvature (K-FAC). K-FAC is based on an efficiently invertible approximation of a neural network's…

机器学习 · 计算机科学 2020-06-09 James Martens , Roger Grosse

In the context of the optimization of Deep Neural Networks, we propose to rescale the learning rate using a new technique of automatic differentiation. This technique relies on the computation of the {\em curvature}, a second order…

神经与进化计算 · 计算机科学 2022-10-27 Frédéric de Gournay , Alban Gossard

We explore the usage of the Levenberg-Marquardt (LM) algorithm for regression (non-linear least squares) and classification (generalized Gauss-Newton methods) tasks in neural networks. We compare the performance of the LM method with other…

机器学习 · 计算机科学 2022-12-20 Omead Pooladzandi , Yiming Zhou

Recently, a number of learning-based optimization methods that combine data-driven architectures with the classical optimization algorithms have been proposed and explored, showing superior empirical performance in solving various ill-posed…

机器学习 · 计算机科学 2019-05-16 Xingyu Xie , Jianlong Wu , Zhisheng Zhong , Guangcan Liu , Zhouchen Lin

Minimizing loss functions is central to machine-learning training. Although first-order methods dominate practical applications, higher-order techniques such as Newton's method can deliver greater accuracy and faster convergence, yet are…

机器学习 · 计算机科学 2025-11-25 Giuseppe Carrino , Elena Loli Piccolomini , Elisa Riccietti , Theo Mary

Learning from a sequence of interactions, as soon as observations are perceived and acted upon, without explicitly storing them, holds the promise of simpler, more efficient and adaptive algorithms. For over a decade, however, deep…

机器学习 · 计算机科学 2026-05-11 Florin Gogianu , Adrian Catalin Lutu , Razvan Pascanu

Diagonal preconditioners are computationally feasible approximate to second-order optimizers, which have shown significant promise in accelerating training of deep learning models. Two predominant approaches are based on Adam and…

机器学习 · 计算机科学 2025-10-16 Bingbin Liu , Rachit Bansal , Depen Morwani , Nikhil Vyas , David Alvarez-Melis , Sham M. Kakade

This paper explores second-order optimization methods in Federated Learning (FL), addressing the critical challenges of slow convergence and the excessive communication rounds required to achieve optimal performance from the global model.…

机器学习 · 计算机科学 2025-05-30 Mrinmay Sen , Sidhant R Nair , C Krishna Mohan

Stochastic gradient descent and other first-order variants, such as Adam and AdaGrad, are commonly used in the field of deep learning due to their computational efficiency and low-storage memory requirements. However, these methods do not…

最优化与控制 · 数学 2025-02-19 Aditya Ranganath , Mukesh Singhal , Roummel Marcia

In recent years, deep learning has achieved remarkable success in various fields such as image recognition, natural language processing, and speech recognition. The effectiveness of deep learning largely depends on the optimization methods…

机器学习 · 计算机科学 2023-04-25 David Shulman

Training large language models requires optimization algorithms that are not only statistically effective, but also computationally and memory efficient at extreme scale. Although Adam remains the dominant optimizer for large-scale…

机器学习 · 计算机科学 2026-05-12 Aditya Ranganath