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We study distributed stochastic convex optimization under the delayed gradient model where the server nodes perform parameter updates, while the worker nodes compute stochastic gradients. We discuss, analyze, and experiment with a setup…

机器学习 · 统计学 2015-08-21 Suvrit Sra , Adams Wei Yu , Mu Li , Alexander J. Smola

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

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

The vast majority of successful deep neural networks are trained using variants of stochastic gradient descent (SGD) algorithms. Recent attempts to improve SGD can be broadly categorized into two approaches: (1) adaptive learning rate…

机器学习 · 计算机科学 2019-12-04 Michael R. Zhang , James Lucas , Geoffrey Hinton , Jimmy Ba

Deep neural networks have excelled on a wide range of problems, from vision to language and game playing. Neural networks very gradually incorporate information into weights as they process data, requiring very low learning rates. If the…

Approximating Stochastic Gradient Descent (SGD) as a Stochastic Differential Equation (SDE) has allowed researchers to enjoy the benefits of studying a continuous optimization trajectory while carefully preserving the stochasticity of SGD.…

机器学习 · 计算机科学 2024-11-04 Sadhika Malladi , Kaifeng Lyu , Abhishek Panigrahi , Sanjeev Arora

We present a manifestly covariant formulation of the gradient descent method, ensuring consistency across arbitrary coordinate systems and general curved trainable spaces. The optimization dynamics is defined using a covariant force vector…

机器学习 · 计算机科学 2025-04-15 Dmitry Guskov , Vitaly Vanchurin

In real-world applications, data often come in a growing manner, where the data volume and the number of classes may increase dynamically. This will bring a critical challenge for learning: given the increasing data volume or the number of…

机器学习 · 计算机科学 2021-07-02 Shuaicheng Niu , Jiaxiang Wu , Guanghui Xu , Yifan Zhang , Yong Guo , Peilin Zhao , Peng Wang , Mingkui Tan

In this paper, we study the finite-sum convex optimization problem focusing on the general convex case. Recently, the study of variance reduced (VR) methods and their accelerated variants has made exciting progress. However, the step size…

最优化与控制 · 数学 2022-01-31 Zijian Liu , Ta Duy Nguyen , Alina Ene , Huy L. Nguyen

Purpose: To propose an alternating learning approach to learn the sampling pattern (SP) and the parameters of variational networks (VN) in accelerated parallel magnetic resonance imaging (MRI). Methods: The approach alternates between…

图像与视频处理 · 电气工程与系统科学 2021-10-29 Marcelo V. W. Zibetti , Florian Knoll , Ravinder R. Regatte

Foundation models excel across diverse tasks, but adapting them to specialized applications often requires fine-tuning, an approach that is memory and compute-intensive. Parameter-efficient fine-tuning (PEFT) methods mitigate this by…

机器学习 · 计算机科学 2026-04-24 Abel Gurung , Joseph Campbell

We introduce AdaAct, a novel optimization algorithm that adjusts learning rates according to activation variance. Our method enhances the stability of neuron outputs by incorporating neuron-wise adaptivity during the training process, which…

机器学习 · 计算机科学 2025-06-11 Hyunseok Seung , Jaewoo Lee , Hyunsuk Ko

Neural networks require a large amount of annotated data to learn. Meta-learning algorithms propose a way to decrease the number of training samples to only a few. One of the most prominent optimization-based meta-learning algorithms is…

机器学习 · 计算机科学 2022-06-14 Kostiantyn Khabarlak

Parameter-Efficient Fine-Tuning (PEFT), especially Low-Rank Adaptation (LoRA), has emerged as a promising approach to fine-tuning large language models(LLMs) while reducing computational and memory overhead. However, LoRA assumes a uniform…

机器学习 · 计算机科学 2025-12-15 Hao Zhang , Zhenjia Li , Runfeng Bao , Yifan Gao , Xi Xiao , Heng Zhang , Shuyang Zhang , Bo Huang , Yuhang Wu , Tianyang Wang , Hao Xu

This paper investigates the distributed stochastic nonconvex and nonsmooth composite optimization problem. Existing stochastic typically rely on uniform step size strictly bounded by global network parameters, such as the maximum node…

最优化与控制 · 数学 2026-03-10 Yangming Zhang , Yongyang Xiong , Jinming Xu , Keyou You , Yang Shi

This paper deals with nonconvex stochastic optimization problems in deep learning and provides appropriate learning rates with which adaptive learning rate optimization algorithms, such as Adam and AMSGrad, can approximate a stationary…

最优化与控制 · 数学 2020-11-24 Hideaki Iiduka

A pruning-aware adaptive gradient method is proposed which classifies the variables in two sets before updating them using different strategies. This technique extends the ``relevant/irrelevant" approach of Ding (2019) and Zimmer et al.…

最优化与控制 · 数学 2025-02-13 Margherita Porcelli , Giovanni Seraghiti , Philippe L. Toint

Adaptive gradient optimizers like Adam(W) are the default training algorithms for many deep learning architectures, such as transformers. Their diagonal preconditioner is based on the gradient outer product which is incorporated into the…

机器学习 · 计算机科学 2024-10-08 Wu Lin , Felix Dangel , Runa Eschenhagen , Juhan Bae , Richard E. Turner , Alireza Makhzani

Large language models (LLMs) have achieved remarkable performance across a wide range of tasks, but their increasing parameter sizes significantly slow down inference. Speculative decoding mitigates this issue by leveraging a smaller draft…

计算与语言 · 计算机科学 2026-05-27 Kuan-Wei Lu , Ding-Yong Hong , Pangfeng Liu , Jan-Jan Wu

Meta-reinforcement learning (meta-RL) aims to learn from multiple training tasks the ability to adapt efficiently to unseen test tasks. Despite the success, existing meta-RL algorithms are known to be sensitive to the task distribution…

机器学习 · 计算机科学 2021-03-02 Zichuan Lin , Garrett Thomas , Guangwen Yang , Tengyu Ma
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