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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

Currently, widely used first-order deep learning optimizers include non-adaptive learning rate optimizers and adaptive learning rate optimizers. The former is represented by SGDM (Stochastic Gradient Descent with Momentum), while the latter…

机器学习 · 计算机科学 2024-09-25 Honglin Qin , Hongye Zheng , Bingxing Wang , Zhizhong Wu , Bingyao Liu , Yuanfang Yang

In a variety of problems originating in supervised, unsupervised, and reinforcement learning, the loss function is defined by an expectation over a collection of random variables, which might be part of a probabilistic model or the external…

机器学习 · 计算机科学 2016-01-06 John Schulman , Nicolas Heess , Theophane Weber , Pieter Abbeel

We consider the problem of estimating the learning rate in adaptive methods, such as AdaGrad and Adam. We propose Prodigy, an algorithm that provably estimates the distance to the solution $D$, which is needed to set the learning rate…

机器学习 · 计算机科学 2024-03-21 Konstantin Mishchenko , Aaron Defazio

Bayesian estimation approaches, which are capable of combining the information of experimental data from different likelihood functions to achieve high precisions, have been widely used in phase estimation via introducing a controllable…

量子物理 · 物理学 2021-07-02 Yuxiang Qiu , Min Zhuang , Jiahao Huang , Chaohong Lee

Bandit based optimisation has a remarkable advantage over gradient based approaches due to their global perspective, which eliminates the danger of getting stuck at local optima. However, for continuous optimisation problems or problems…

人工智能 · 计算机科学 2017-05-30 Ole-Christoffer Granmo

Parameterized feedforward control is at the basis of many successful control applications with varying references. The aim of this paper is to develop an efficient data-driven approach to learn the feedforward parameters for MIMO systems.…

系统与控制 · 电气工程与系统科学 2022-09-13 Leontine Aarnoudse , Tom Oomen

This paper addresses a distributed optimization problem in a communication network where nodes are active sporadically. Each active node applies some learning method to control its action to maximize the global utility function, which is…

最优化与控制 · 数学 2021-04-20 Wenjie Li , Mohamad Assaad , Shiqi Zheng

We propose a federated version of adaptive gradient methods, particularly AdaGrad and Adam, within the framework of over-the-air model training. This approach capitalizes on the inherent superposition property of wireless channels,…

机器学习 · 计算机科学 2024-03-12 Chenhao Wang , Zihan Chen , Nikolaos Pappas , Howard H. Yang , Tony Q. S. Quek , H. Vincent Poor

Stochastic Gradient Decent (SGD) is one of the core techniques behind the success of deep neural networks. The gradient provides information on the direction in which a function has the steepest rate of change. The main problem with basic…

In this work, we introduce a learning model designed to meet the needs of applications in which computational resources are limited, and robustness and interpretability are prioritized. Learning problems can be formulated as constrained…

系统与控制 · 电气工程与系统科学 2025-09-26 Christos Mavridis , John Baras

Distributionally robust optimization (DRO) problems are increasingly seen as a viable method to train machine learning models for improved model generalization. These min-max formulations, however, are more difficult to solve. We therefore…

机器学习 · 统计学 2020-11-03 Soumyadip Ghosh , Mark Squillante , Ebisa Wollega

In federated learning (FL), model training performance is strongly impacted by data heterogeneity across clients. Client-drift compensation methods have recently emerged as a solution to this issue, introducing correction terms into local…

机器学习 · 计算机科学 2025-05-20 Evan Chen , Shiqiang Wang , Jianing Zhang , Dong-Jun Han , Chaoyue Liu , Christopher Brinton

In several recently proposed stochastic optimization methods (e.g. RMSProp, Adam, Adadelta), parameter updates are scaled by the inverse square roots of exponential moving averages of squared past gradients. Maintaining these per-parameter…

机器学习 · 计算机科学 2018-04-13 Noam Shazeer , Mitchell Stern

The practical performance of online stochastic gradient descent algorithms is highly dependent on the chosen step size, which must be tediously hand-tuned in many applications. The same is true for more advanced variants of stochastic…

最优化与控制 · 数学 2015-11-10 Pierre-Yves Massé , Yann Ollivier

Gradient-based iterative optimization methods are the workhorse of modern machine learning. They crucially rely on careful tuning of parameters like learning rate and momentum. However, one typically sets them using heuristic approaches…

机器学习 · 计算机科学 2025-12-05 Dravyansh Sharma

Stochastic gradient-based descent (SGD), have long been central to training large language models (LLMs). However, their effectiveness is increasingly being questioned, particularly in large-scale applications where empirical evidence…

机器学习 · 计算机科学 2025-07-03 Di Zhang , Yihang Zhang

The successes of deep learning, variational inference, and many other fields have been aided by specialized implementations of reverse-mode automatic differentiation (AD) to compute gradients of mega-dimensional objectives. The AD…

机器学习 · 计算机科学 2021-03-16 Deniz Oktay , Nick McGreivy , Joshua Aduol , Alex Beatson , Ryan P. Adams

Stochastic optimization is a cornerstone of modern machine learning. This paper studies the generalization performance of two classical stochastic optimization algorithms: stochastic gradient descent (SGD) and Nesterov's accelerated…

机器学习 · 计算机科学 2026-03-20 Shaojie Li , Pengwei Tang , Yong Liu

Training deep neural networks is challenging. To accelerate training and enhance performance, we propose PadamP, a novel optimization algorithm. PadamP is derived by applying the adaptive estimation of the p-th power of the second-order…

最优化与控制 · 数学 2025-03-14 Yongqi Li , Xiaowei Zhang