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We prove local convergence of several notable gradient descent algorithms used in machine learning, for which standard stochastic gradient descent theory does not apply directly. This includes, first, online algorithms for recurrent models…

动力系统 · 数学 2021-01-11 Pierre-Yves Massé , Yann Ollivier

Graph signal processing deals with algorithms and signal representations that leverage graph structures for multivariate data analysis. Often said graph topology is not readily available and may be time-varying, hence (dynamic) graph…

信号处理 · 电气工程与系统科学 2024-09-20 Hector Chahuara , Gonzalo Mateos

It has long been hoped that model-based control will improve tracking performance while maintaining or increasing compliance. This hope hinges on having or being able to estimate an accurate inverse dynamics model. As a result, substantial…

机器人学 · 计算机科学 2016-08-11 Nathan Ratliff , Franziska Meier , Daniel Kappler , Stefan Schaal

The performance of an optimizer on large-scale deep learning models depends critically on fine-tuning the learning rate, often requiring an extensive grid search over base learning rates, schedules, and other hyperparameters. In this paper,…

机器学习 · 计算机科学 2025-06-11 Ruichen Jiang , Ali Kavis , Aryan Mokhtari

We present adaptive gradient methods (both basic and accelerated) for solving convex composite optimization problems in which the main part is approximately smooth (a.k.a. $(\delta, L)$-smooth) and can be accessed only via a (potentially…

最优化与控制 · 数学 2024-06-11 Anton Rodomanov , Xiaowen Jiang , Sebastian Stich

Analytical models developed in offline settings with pre-prepared data are typically used to predict students' performance. However, when data are available over time, this learning method is not suitable anymore. Online learning is…

计算机与社会 · 计算机科学 2024-07-16 Chahrazed Labba , Anne Boyer

The Area Under the Curve (AUC) is an important performance metric for classification tasks, particularly in class-imbalanced scenarios. However, minimizing the AUC presents significant challenges due to the non-convex and discontinuous…

机器学习 · 计算机科学 2025-10-27 JunRu Luo , Difei Cheng , Bo Zhang

Adam is one of the most popular optimization algorithms in deep learning. However, it is known that Adam does not converge in theory unless choosing a hyperparameter, i.e., $\beta_2$, in a problem-dependent manner. There have been many…

Optimization of image transformation functions for the purpose of data augmentation has been intensively studied. In particular, adversarial data augmentation strategies, which search augmentation maximizing task loss, show significant…

计算机视觉与模式识别 · 计算机科学 2022-03-30 Teppei Suzuki

Current deep learning adaptive optimizer methods adjust the step magnitude of parameter updates by altering the effective learning rate used by each parameter. Motivated by the known inverse relation between batch size and learning rate on…

机器学习 · 计算机科学 2022-08-02 Cristian Simionescu , George Stoica , Robert Herscovici

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

Federated learning has attracted increasing attention due to the promise of balancing privacy and large-scale learning; numerous approaches have been proposed. However, most existing approaches focus on problems with balanced data, and…

机器学习 · 计算机科学 2024-06-03 Xinwen Zhang , Yihan Zhang , Tianbao Yang , Richard Souvenir , Hongchang Gao

In this work we explore Unsupervised Domain Adaptation (UDA) of pretrained language models for downstream tasks. We introduce UDALM, a fine-tuning procedure, using a mixed classification and Masked Language Model loss, that can adapt to the…

计算与语言 · 计算机科学 2021-04-16 Constantinos Karouzos , Georgios Paraskevopoulos , Alexandros Potamianos

We study online learning in adversarial nonstationary environments. Since the future can be very different from the past, a critical challenge is to gracefully forget the history while new data comes in. To formalize this intuition, we…

机器学习 · 计算机科学 2024-06-21 Zhiyu Zhang , David Bombara , Heng Yang

Adam-type optimizers, as a class of adaptive moment estimation methods with the exponential moving average scheme, have been successfully used in many applications of deep learning. Such methods are appealing due to the capability on…

机器学习 · 计算机科学 2020-12-17 Bingxin Zhou , Xuebin Zheng , Junbin Gao

Bilevel optimization recently has attracted increased interest in machine learning due to its many applications such as hyper-parameter optimization and meta learning. Although many bilevel methods recently have been proposed, these methods…

最优化与控制 · 数学 2023-02-21 Feihu Huang , Junyi Li , Shangqian Gao

The area under the ROC curve (AUC) is a measure of interest in various machine learning and data mining applications. It has been widely used to evaluate classification performance on heavily imbalanced data. The kernelized AUC maximization…

机器学习 · 计算机科学 2019-04-30 Majdi Khalid , Indrakshi Ray , Hamidreza Chitsaz

The adaptive moment estimation (Adam) optimizer proposed by Kingma & Ba (2014) is presumably the most popular stochastic gradient descent (SGD) optimization method for the training of deep neural networks (DNNs) in artificial intelligence…

机器学习 · 计算机科学 2026-03-20 Steffen Dereich , Thang Do , Arnulf Jentzen

Bilevel optimization is a popular hierarchical model in machine learning, and has been widely applied to many machine learning tasks such as meta learning, hyperparameter learning and policy optimization. Although many bilevel optimization…

机器学习 · 计算机科学 2022-11-15 Feihu Huang

We present a first-order method for solving constrained optimization problems. The method is derived from our previous work, a modified search direction method inspired by singular value decomposition. In this work, we simplify its…

最优化与控制 · 数学 2023-02-24 Long Chen , Kai-Uwe Bletzinger , Nicolas R. Gauger , Yinyu Ye