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Zeroth-order optimization (ZO) has demonstrated remarkable promise in efficient fine-tuning tasks for Large Language Models (LLMs). In particular, recent advances incorporate the low-rankness of gradients, introducing low-rank ZO estimators…

机器学习 · 计算机科学 2025-02-03 Yan Sun , Tiansheng Huang , Liang Ding , Li Shen , Dacheng Tao

Recent developments have shown that Muon-type optimizers based on linear minimization oracles (LMOs) over non-Euclidean norm balls have the potential to get superior practical performance than Adam-type methods in the training of large…

机器学习 · 计算机科学 2026-04-14 Xun Qian , Alexander Gaponov , Grigory Malinovsky , Peter Richtárik

We propose \texttt{FedGLOMO}, a novel federated learning (FL) algorithm with an iteration complexity of $\mathcal{O}(\epsilon^{-1.5})$ to converge to an $\epsilon$-stationary point (i.e., $\mathbb{E}[\|\nabla f(\bm{x})\|^2] \leq \epsilon$)…

Differential learning rate (DLR), a technique that applies different learning rates to different model parameters, has been widely used in deep learning and achieved empirical success via its various forms. For example, parameter-efficient…

机器学习 · 计算机科学 2025-05-20 Shiyun Xu , Zhiqi Bu , Yiliang Zhang , Ian Barnett

Zeroth-order (ZO) optimization has become a popular technique for solving machine learning (ML) problems when first-order (FO) information is difficult or impossible to obtain. However, the scalability of ZO optimization remains an open…

With the promise of federated learning (FL) to allow for geographically-distributed and highly personalized services, the efficient exchange of model updates between clients and servers becomes crucial. FL, though decentralized, often faces…

分布式、并行与集群计算 · 计算机科学 2024-04-25 Grant Wilkins , Sheng Di , Jon C. Calhoun , Zilinghan Li , Kibaek Kim , Robert Underwood , Richard Mortier , Franck Cappello

Second-order optimization methods offer superior convergence rates but are often bottlenecked by the wall-clock cost of Hessian computation and factorization. In the moderate-dimensional regime where the full Hessian fits in memory,…

最优化与控制 · 数学 2026-05-18 El Mahdi Chayti , Martin Jaggi

In this work, we develop first-order (Hessian-free) and zero-order (derivative-free) implementations of the Cubically regularized Newton method for solving general non-convex optimization problems. For that, we employ finite difference…

最优化与控制 · 数学 2023-09-06 Nikita Doikov , Geovani Nunes Grapiglia

Zero Redundancy Optimizer (ZeRO) has been used to train a wide range of large language models on massive GPUs clusters due to its ease of use, efficiency, and good scalability. However, when training on low-bandwidth clusters, or at scale…

分布式、并行与集群计算 · 计算机科学 2023-06-21 Guanhua Wang , Heyang Qin , Sam Ade Jacobs , Connor Holmes , Samyam Rajbhandari , Olatunji Ruwase , Feng Yan , Lei Yang , Yuxiong He

Hierarchical federated learning (HFL) has emerged as a key architecture for large-scale wireless and Internet of Things systems, where devices communicate with nearby edge servers before reaching the cloud. In these environments, uplink…

分布式、并行与集群计算 · 计算机科学 2026-02-03 Amirreza Kazemi , Seyed Mohammad Azimi-Abarghouyi , Gabor Fodor , Carlo Fischione

Slow and costly communication is often the main bottleneck in distributed optimization, especially in federated learning where it occurs over wireless networks. We introduce BiCoLoR, a communication-efficient optimization algorithm that…

最优化与控制 · 数学 2026-01-21 Laurent Condat , Artavazd Maranjyan , Peter Richtárik

Federated learning (FL) aims to minimize the communication complexity of training a model over heterogeneous data distributed across many clients. A common approach is local methods, where clients take multiple optimization steps over local…

机器学习 · 计算机科学 2023-04-18 Charlie Hou , Kiran K. Thekumparampil , Giulia Fanti , Sewoong Oh

Zeroth-order optimization is the process of minimizing an objective $f(x)$, given oracle access to evaluations at adaptively chosen inputs $x$. In this paper, we present two simple yet powerful GradientLess Descent (GLD) algorithms that do…

机器学习 · 计算机科学 2020-05-20 Daniel Golovin , John Karro , Greg Kochanski , Chansoo Lee , Xingyou Song , Qiuyi Zhang

Fine-tuning large pretrained language models (LLMs) is a cornerstone of modern NLP, yet its growing memory demands (driven by backpropagation and large optimizer States) limit deployment in resource-constrained settings. Zero-order (ZO)…

Federated learning systems have been identified as an efficient approach to scaling distributed model training with a large amount of participants or data owners while guaranteeing data privacy. To apply the current most popular pre-trained…

分布式、并行与集群计算 · 计算机科学 2025-03-04 Qianli Liu , Zhaorui Zhang , Xin Yao , Benben Liu

In Distributed optimization and Learning, and even more in the modern framework of federated learning, communication, which is slow and costly, is critical. We introduce LoCoDL, a communication-efficient algorithm that leverages the two…

最优化与控制 · 数学 2025-03-03 Laurent Condat , Artavazd Maranjyan , Peter Richtárik

A significant bottleneck in federated learning (FL) is the network communication cost of sending model updates from client devices to the central server. We present a comprehensive empirical study of the statistics of model updates in FL,…

机器学习 · 计算机科学 2022-05-23 Nicole Mitchell , Johannes Ballé , Zachary Charles , Jakub Konečný

Large Language Models (LLMs) perform well on many NLP tasks, but fine-tuning them on resource-constrained mobile devices is challenging due to high memory and computation costs, despite growing demands for privacy-preserving…

机器学习 · 计算机科学 2026-01-21 He Sun , Jinrui Zhou , Li Li , Mingjun Xiao

In this letter, we first propose a \underline{Z}eroth-\underline{O}rder c\underline{O}ordinate \underline{M}ethod~(ZOOM) to solve the stochastic optimization problem over a decentralized network with only zeroth-order~(ZO) oracle feedback…

最优化与控制 · 数学 2022-10-11 Shengjun Zhang , Tan Shen , Hongwei Sun , Yunlong Dong , Dong Xie , Heng Zhang

We introduce LOREN, a curvature-aware zeroth-order (ZO) optimization method for fine-tuning large language models (LLMs). Existing ZO methods, which estimate gradients via finite differences using random perturbations, often suffer from…

机器学习 · 计算机科学 2025-11-12 Hyunseok Seung , Jaewoo Lee , Hyunsuk Ko