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Time-series forecasting often faces challenges from non-stationarity, particularly distributional drift, where the data distribution evolves over time. This dynamic behavior can undermine the effectiveness of adaptive optimizers, such as…

机器学习 · 计算机科学 2026-03-12 Yuze Dong , Jinsong Wu

Adam-type methods, the extension of adaptive gradient methods, have shown great performance in the training of both supervised and unsupervised machine learning models. In particular, Adam-type optimizers have been widely used empirically…

机器学习 · 计算机科学 2021-09-30 Zehao Dou , Yuanzhi Li

In computational science workflows, it is often the case that 1) objective functions for optimization involve multiple simulation outputs, and 2) those simulations can be performed (at least partially) in parallel. In this work, we…

最优化与控制 · 数学 2026-05-28 Matt Menickelly

Adam is shown not being able to converge to the optimal solution in certain cases. Researchers recently propose several algorithms to avoid the issue of non-convergence of Adam, but their efficiency turns out to be unsatisfactory in…

机器学习 · 计算机科学 2019-06-25 Zhiming Zhou , Qingru Zhang , Guansong Lu , Hongwei Wang , Weinan Zhang , Yong Yu

Adam has achieved strong empirical success, but its theory remains incomplete even in the deterministic full-batch setting, largely because adaptive preconditioning and momentum are tightly coupled. In this work, a convergent reformulation…

最优化与控制 · 数学 2026-04-13 Yaxin Yu , Long Chen , Zeyi Xu

Learning rate adaptation is a popular topic in machine learning. Gradient Descent trains neural nerwork with a fixed learning rate. Learning rate adaptation is proposed to accelerate the training process through adjusting the step size in…

机器学习 · 计算机科学 2022-10-20 Bozhou Chen , Hongzhi Wang , Chenmin Ba

Adam and AdamW are a class of default optimizers for training deep learning models in machine learning. These adaptive algorithms converge faster but generalize worse compared to SGD. In fact, their proved generalization error…

机器学习 · 计算机科学 2026-03-04 Feihu Huang , Guanyi Zhang , Songcan Chen

The Adam optimizer is currently presumably the most popular optimization method in deep learning. In this article we develop an ODE based method to study the Adam optimizer in a fast-slow scaling regime. For fixed momentum parameters and…

最优化与控制 · 数学 2025-11-07 Steffen Dereich , Arnulf Jentzen , Sebastian Kassing

We propose a novel technique for analyzing adaptive sampling called the {\em Simulator}. Our approach differs from the existing methods by considering not how much information could be gathered by any fixed sampling strategy, but how…

机器学习 · 计算机科学 2023-04-25 Max Simchowitz , Kevin Jamieson , Benjamin Recht

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

The insufficient generalization of adaptive moment estimation (Adam) has hindered its broader application. Recent studies have shown that flat minima in loss landscapes are highly associated with improved generalization. Inspired by the…

机器学习 · 计算机科学 2024-12-18 Long Jin , Han Nong , Liangming Chen , Zhenming Su

The stochastic multi-arm bandit problem has been extensively studied under standard assumptions on the arm's distribution (e.g bounded with known support, exponential family, etc). These assumptions are suitable for many real-world problems…

机器学习 · 统计学 2021-11-19 Dorian Baudry , Patrick Saux , Odalric-Ambrym Maillard

In the context of stochastic gradient descent(SGD) and adaptive moment estimation (Adam),researchers have recently proposed optimization techniques that transition from Adam to SGD with the goal of improving both convergence and…

机器学习 · 计算机科学 2020-07-01 Jiaxuan Wang , Jenna Wiens

Diffusion probabilistic models (DPMs) have been shown to generate high-quality images without the need for delicate adversarial training. However, the current sampling process in DPMs is prone to violent shaking. In this paper, we present a…

计算机视觉与模式识别 · 计算机科学 2023-08-24 Xiyu Wang , Anh-Dung Dinh , Daochang Liu , Chang Xu

The Adam optimizer is a popular choice in contemporary deep learning, due to its strong empirical performance. However we observe that in privacy sensitive scenarios, the traditional use of Differential Privacy (DP) with the Adam optimizer…

机器学习 · 计算机科学 2023-12-25 Qiaoyue Tang , Frederick Shpilevskiy , Mathias Lécuyer

In current deep learning tasks, Adam style optimizers such as Adam, Adagrad, RMSProp, Adafactor, and Lion have been widely used as alternatives to SGD style optimizers. These optimizers typically update model parameters using the sign of…

In this paper, we derive a modified InfoMax algorithm for the solution of Blind Signal Separation (BSS) problems by using advanced stochastic methods. The proposed approach is based on a novel stochastic optimization approach known as the…

机器学习 · 计算机科学 2026-01-13 Michele Scarpiniti , Simone Scardapane , Danilo Comminiello , Raffaele Parisi , Aurelio Uncini

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

Bandit algorithms and Large Language Models (LLMs) have emerged as powerful tools in artificial intelligence, each addressing distinct yet complementary challenges in decision-making and natural language processing. This survey explores the…

人工智能 · 计算机科学 2025-10-01 Djallel Bouneffouf , Raphael Feraud

Uncertainty computation in deep learning is essential to design robust and reliable systems. Variational inference (VI) is a promising approach for such computation, but requires more effort to implement and execute compared to…

机器学习 · 统计学 2018-08-03 Mohammad Emtiyaz Khan , Didrik Nielsen , Voot Tangkaratt , Wu Lin , Yarin Gal , Akash Srivastava