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Federated bilevel optimization has received increasing attention in various emerging machine learning and communication applications. Recently, several Hessian-vector-based algorithms have been proposed to solve the federated bilevel…

Machine Learning · Computer Science 2023-02-13 Minhui Huang , Dewei Zhang , Kaiyi Ji

We propose an adaptive variance-reduction method, called AdaSpider, for minimization of $L$-smooth, non-convex functions with a finite-sum structure. In essence, AdaSpider combines an AdaGrad-inspired [Duchi et al., 2011, McMahan &…

Optimization and Control · Mathematics 2022-11-04 Ali Kavis , Stratis Skoulakis , Kimon Antonakopoulos , Leello Tadesse Dadi , Volkan Cevher

Bilevel Optimization has witnessed notable progress recently with new emerging efficient algorithms and has been applied to many machine learning tasks such as data cleaning, few-shot learning, and neural architecture search. However,…

Machine Learning · Computer Science 2022-05-04 Junyi Li , Feihu Huang , Heng Huang

Optimization algorithms such as AdaGrad and Adam have significantly advanced the training of deep models by dynamically adjusting the learning rate during the optimization process. However, adhoc tuning of learning rates poses a challenge,…

Machine Learning · Computer Science 2024-12-30 Yuanzhe Tao , Huizhuo Yuan , Xun Zhou , Yuan Cao , Quanquan Gu

This paper considers the smooth bilevel optimization in which the lower-level problem is strongly convex and the upper-level problem is possibly nonconvex. We focus on the stochastic setting where the algorithm can access the unbiased…

Machine Learning · Computer Science 2025-12-16 Zhuanghua Liu , Luo Luo

We consider the problem of decentralized deep learning where multiple agents collaborate to learn from a distributed dataset. While there exist several decentralized deep learning approaches, the majority consider a central parameter-server…

Machine Learning · Computer Science 2020-12-01 Aditya Balu , Zhanhong Jiang , Sin Yong Tan , Chinmay Hedge , Young M Lee , Soumik Sarkar

This paper proposes a novel proximal-gradient algorithm for a decentralized optimization problem with a composite objective containing smooth and non-smooth terms. Specifically, the smooth and nonsmooth terms are dealt with by gradient and…

Optimization and Control · Mathematics 2021-02-02 Zhi Li , Wei Shi , Ming Yan

Bayesian optimization (BO) is a promising approach for hyperparameter optimization of deep neural networks (DNNs), where each model training can take minutes to hours. In BO, a computationally cheap surrogate model is employed to learn the…

Machine Learning · Computer Science 2023-09-27 Romain Egele , Isabelle Guyon , Venkatram Vishwanath , Prasanna Balaprakash

A class of multi-level algorithms for unconstrained nonlinear optimization is presented which does not require the evaluation of the objective function. The class contains the momentum-less AdaGrad method as a particular (single-level)…

Optimization and Control · Mathematics 2023-02-15 S. Gratton , A. Kopanicakova , Ph. L. Toint

Based on the use of different exponential bases to define class-dependent error bounds, a new and highly efficient asymmetric boosting scheme, coined as AdaBoostDB (Double-Base), is proposed. Supported by a fully theoretical derivation…

Computer Vision and Pattern Recognition · Computer Science 2015-07-09 Iago Landesa-Vázquez , José Luis Alba-Castro

Stochastic gradient descent is the method of choice for large scale optimization of machine learning objective functions. Yet, its performance is greatly variable and heavily depends on the choice of the stepsizes. This has motivated a…

Machine Learning · Statistics 2019-02-28 Xiaoyu Li , Francesco Orabona

We propose an adaptive step-size rule for decentralized optimization. Choosing a step-size that balances convergence and stability is challenging. This is amplified in the decentralized setting as agents observe only local (possibly…

Optimization and Control · Mathematics 2026-02-17 Aaron Fainman , Stefan Vlaski

Optimizers like Adam and AdaGrad have been very successful in training large-scale neural networks. Yet, the performance of these methods is heavily dependent on a carefully tuned learning rate schedule. We show that in many large-scale…

Machine Learning · Computer Science 2022-02-02 Ehsan Amid , Rohan Anil , Christopher Fifty , Manfred K. Warmuth

Scaling to arbitrarily large bundle adjustment problems requires data and compute to be distributed across multiple devices. Centralized methods in prior works are only able to solve small or medium size problems due to overhead in…

Computer Vision and Pattern Recognition · Computer Science 2023-08-10 Taosha Fan , Joseph Ortiz , Ming Hsiao , Maurizio Monge , Jing Dong , Todd Murphey , Mustafa Mukadam

In this paper, we propose two novel decentralized optimization frameworks for multi-agent nonlinear optimal control problems in robotics. The aim of this work is to suggest architectures that inherit the computational efficiency and…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Augustinos D. Saravanos , Yuichiro Aoyama , Hongchang Zhu , Evangelos A. Theodorou

Hyperparameter tuning is an active area of research in machine learning, where the aim is to identify the optimal hyperparameters that provide the best performance on the validation set. Hyperparameter tuning is often achieved using naive…

Machine Learning · Computer Science 2020-07-23 Ankur Sinha , Tanmay Khandait , Raja Mohanty

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…

Optimization and Control · Mathematics 2023-02-21 Feihu Huang , Junyi Li , Shangqian Gao

Decentralized learning is crucial in supporting on-device learning over large distributed datasets, eliminating the need for a central server. However, the communication overhead remains a major bottleneck for the practical realization of…

Machine Learning · Computer Science 2024-04-10 Sai Aparna Aketi , Abolfazl Hashemi , Kaushik Roy

In this paper, we study the (decentralized) distributed optimization problem with high-dimensional sparse structure. Building upon the FedDA algorithm, we propose a (Decentralized) FedDA-GT algorithm, which combines the \textbf{gradient…

Optimization and Control · Mathematics 2023-12-12 Jiadong Liang , Yang Peng , Zhihua Zhang

Decentralized stochastic optimization has emerged as a fundamental paradigm for large-scale machine learning. However, practical implementations often rely on biased gradient estimators arising from communication compression or inexact…

Optimization and Control · Mathematics 2026-04-10 Qing Xu , Yiwei Liao , Wenqi Fan , Xingxing You , Songyi Dian
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