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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

Loss function learning is a new meta-learning paradigm that aims to automate the essential task of designing a loss function for a machine learning model. Existing techniques for loss function learning have shown promising results, often…

机器学习 · 计算机科学 2025-10-14 Christian Raymond , Qi Chen , Bing Xue , Mengjie Zhang

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

We present a novel universal gradient method for solving convex optimization problems. Our algorithm, Dual Averaging with Distance Adaptation (DADA), is based on the classical scheme of dual averaging and dynamically adjusts its…

最优化与控制 · 数学 2026-04-22 Mohammad Moshtaghifar , Anton Rodomanov , Daniil Vankov , Sebastian Stich

Adjusting the learning rate schedule in stochastic gradient methods is an important unresolved problem which requires tuning in practice. If certain parameters of the loss function such as smoothness or strong convexity constants are known,…

机器学习 · 统计学 2020-11-23 Xiaoxia Wu , Rachel Ward , Léon Bottou

We introduce a notion of inexact model of a convex objective function, which allows for errors both in the function and in its gradient. For this situation, a gradient method with an adaptive adjustment of some parameters of the model is…

最优化与控制 · 数学 2021-10-12 Fedor S. Stonyakin

Adaptive gradient methods (AGMs) have become popular in optimizing the nonconvex problems in deep learning area. We revisit AGMs and identify that the adaptive learning rate (A-LR) used by AGMs varies significantly across the dimensions of…

机器学习 · 计算机科学 2019-09-12 Qianqian Tong , Guannan Liang , Jinbo Bi

This paper establishes the theoretical foundations of the online scaled gradient methods (OSGM), a framework that utilizes online learning to adapt stepsizes and provably accelerate first-order methods. OSGM quantifies the effectiveness of…

最优化与控制 · 数学 2025-09-08 Wenzhi Gao , Ya-Chi Chu , Yinyu Ye , Madeleine Udell

Applications involving dictionary learning, non-negative matrix factorization, subspace clustering, and parallel factor tensor decomposition tasks motivate well algorithms for per-block-convex and non-smooth optimization problems. By…

机器学习 · 计算机科学 2017-01-27 Konstantinos Slavakis , Georgios B. Giannakis

Biased regularization and fine-tuning are two recent meta-learning approaches. They have been shown to be effective to tackle distributions of tasks, in which the tasks' target vectors are all close to a common meta-parameter vector.…

机器学习 · 计算机科学 2020-08-26 Giulia Denevi , Massimiliano Pontil , Carlo Ciliberto

Large-scale optimization problems require algorithms both effective and efficient. One such popular and proven algorithm is Stochastic Gradient Descent which uses first-order gradient information to solve these problems. This paper studies…

最优化与控制 · 数学 2021-11-11 Theodoros Mamalis , Dusan Stipanovic , Petros Voulgaris

The performance of gradient-based optimization methods, such as standard gradient descent (GD), greatly depends on the choice of learning rate. However, it can require a non-trivial amount of user tuning effort to select an appropriate…

机器学习 · 计算机科学 2025-10-14 Nikola Surjanovic , Alexandre Bouchard-Côté , Trevor Campbell

Adaptive gradient approaches that automatically adjust the learning rate on a per-feature basis have been very popular for training deep networks. This rich class of algorithms includes Adagrad, RMSprop, Adam, and recent extensions. All…

机器学习 · 计算机科学 2019-05-28 Jihun Yun , Aurelie C. Lozano , Eunho Yang

Continual learning aims to alleviate catastrophic forgetting when handling consecutive tasks under non-stationary distributions. Gradient-based meta-learning algorithms have shown the capability to implicitly solve the transfer-interference…

机器学习 · 计算机科学 2022-10-04 Xiaohan Zou , Tong Lin

We propose a general method called truncated gradient to induce sparsity in the weights of online learning algorithms with convex loss functions. This method has several essential properties: The degree of sparsity is continuous -- a…

机器学习 · 计算机科学 2008-07-04 John Langford , Lihong Li , Tong Zhang

This paper introduces an iterative algorithm for training nonparametric additive models that enjoys favorable memory storage and computational requirements. The algorithm can be viewed as the functional counterpart of stochastic gradient…

机器学习 · 统计学 2026-01-01 Xin Chen , Jason M. Klusowski

Drawing inspiration from gradient-based meta-learning methods with infinitely small gradient steps, we introduce Continuous-Time Meta-Learning (COMLN), a meta-learning algorithm where adaptation follows the dynamics of a gradient vector…

机器学习 · 计算机科学 2022-03-04 Tristan Deleu , David Kanaa , Leo Feng , Giancarlo Kerg , Yoshua Bengio , Guillaume Lajoie , Pierre-Luc Bacon

Recently, several universal methods have been proposed for online convex optimization, and attain minimax rates for multiple types of convex functions simultaneously. However, they need to design and optimize one surrogate loss for each…

机器学习 · 计算机科学 2024-11-21 Lijun Zhang , Yibo Wang , Guanghui Wang , Jinfeng Yi , Tianbao Yang

In the last decades, due to the huge technological growth observed, it has become increasingly common that a collection of temporal data rapidly accumulates in vast amounts. This provides an opportunity for extracting valuable information…

机器学习 · 计算机科学 2023-02-22 Felipe Elorrieta , Lucas Osses , Matias Cáceres , Susana Eyheramendy , Wilfredo Palma

Meta-learning methods typically follow a two-loop framework, where each loop potentially suffers from notorious overfitting, hindering rapid adaptation and generalization to new tasks. Existing schemes solve it by enhancing the…

机器学习 · 计算机科学 2023-06-16 Ren Wang , Haoliang Sun , Qi Wei , Xiushan Nie , Yuling Ma , Yilong Yin
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