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In modern decentralized applications, ensuring communication efficiency and privacy for the users are the key challenges. In order to train machine-learning models, the algorithm has to communicate to the data center and sample data for its…

最优化与控制 · 数学 2024-04-04 Hoang Huy Nguyen , Yan Li , Tuo Zhao

Scalable decentralized optimization in large-scale systems hinges on efficient communication. A common way to reduce communication overhead is to perform multiple local updates between two communication rounds, as in federated learning.…

最优化与控制 · 数学 2025-11-10 Jie Liu , Zuang Wang , Yongqiang Wang

Bilevel optimization is an important class of optimization problems where one optimization problem is nested within another. While various methods have emerged to address unconstrained general bilevel optimization problems, there has been a…

最优化与控制 · 数学 2024-03-15 Nazanin Abolfazli , Ruichen Jiang , Aryan Mokhtari , Erfan Yazdandoost Hamedani

Gradient tracking methods have emerged as one of the most popular approaches for solving decentralized optimization problems over networks. In this setting, each node in the network has a portion of the global objective function, and the…

最优化与控制 · 数学 2023-11-27 Albert S. Berahas , Raghu Bollapragada , Shagun Gupta

In this paper, we consider a large network containing many regions such that each region is equipped with a worker with some data processing and communication capability. For such a network, some workers may become stragglers due to the…

系统与控制 · 电气工程与系统科学 2022-04-14 Elie Atallah , Nazanin Rahnavard , Qiyu Sun

Bilevel optimization has been developed for many machine learning tasks with large-scale and high-dimensional data. This paper considers a constrained bilevel optimization problem, where the lower-level optimization problem is convex with…

机器学习 · 计算机科学 2023-08-22 Siyuan Xu , Minghui Zhu

Motivated by emerging applications in wireless sensor networks and large-scale data processing, we consider distributed optimization over directed networks where the agents communicate their information locally to their neighbors to…

最优化与控制 · 数学 2021-03-22 Farzad Yousefian

Bilevel optimization have gained growing interests, with numerous applications found in meta learning, minimax games, reinforcement learning, and nested composition optimization. This paper studies the problem of distributed bilevel…

机器学习 · 统计学 2022-06-23 Shuoguang Yang , Xuezhou Zhang , Mengdi Wang

Existing KBQA methods have traditionally relied on multi-stage methodologies, involving tasks such as entity linking, subgraph retrieval and query structure generation. However, multi-stage approaches are dependent on the accuracy of…

计算与语言 · 计算机科学 2025-06-06 Jaebok Lee , Hyeonjeong Shin

Decentralized methods to solve finite-sum minimization problems are important in many signal processing and machine learning tasks where the data is distributed over a network of nodes and raw data sharing is not permitted due to privacy…

机器学习 · 计算机科学 2020-02-14 Ran Xin , Soummya Kar , Usman A. Khan

Bilevel optimization plays an essential role in many machine learning tasks, ranging from hyperparameter optimization to meta-learning. Existing studies on bilevel optimization, however, focus on either centralized or synchronous…

机器学习 · 计算机科学 2023-02-27 Yang Jiao , Kai Yang , Tiancheng Wu , Dongjin Song , Chengtao Jian

In machine learning, the goal of multi-task learning (MTL) is to optimize multiple objectives together. Recent works, for example, Multiple Gradient Descent Algorithm (MGDA) and its variants, show promising results with dynamically adjusted…

机器学习 · 计算机科学 2026-03-10 Xuxing Chen , Yun He , Jiayi Xu , Minhui Huang , Xiaoyi Liu , Boyang Liu , Fei Tian , Xiaohan Wei , Rong Jin , Sem Park , Bo Long , Xue Feng

Bilevel optimization recently has received tremendous attention due to its great success in solving important machine learning problems like meta learning, reinforcement learning, and hyperparameter optimization. Extending single-agent…

最优化与控制 · 数学 2023-06-02 Xuxing Chen , Minhui Huang , Shiqian Ma , Krishnakumar Balasubramanian

Bilevel optimization provides a powerful framework for modelling hierarchical decision-making systems. This work presents a sensitivity-based algorithm that addresses the bilevel structure directly by treating the lower-level optimal…

最优化与控制 · 数学 2026-05-28 Eduardo Nolasco , Ross D. King , Vassilios S. Vassiliadis

This paper investigates a class of stochastic bilevel optimization problems where the upper-level function is nonconvex with potentially unbounded smoothness and the lower-level problem is strongly convex. These problems have significant…

机器学习 · 计算机科学 2025-01-16 Xiaochuan Gong , Jie Hao , Mingrui Liu

Decentralized optimization is a powerful paradigm that finds applications in engineering and learning design. This work studies decentralized composite optimization problems with non-smooth regularization terms. Most existing gradient-based…

最优化与控制 · 数学 2019-10-29 Sulaiman A. Alghunaim , Kun Yuan , Ali H. Sayed

This paper proposes a novel family of primal-dual-based distributed algorithms for smooth, convex, multi-agent optimization over networks that uses only gradient information and gossip communications. The algorithms can also employ…

最优化与控制 · 数学 2020-03-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

Hierarchical decision making problems, such as bilevel programs and Stackelberg games, are attracting increasing interest in both the engineering and machine learning communities. Yet, existing solution methods lack either convergence…

Bilevel optimization is a central tool in machine learning for high-dimensional hyperparameter tuning. Its applications are vast; for instance, in imaging it can be used for learning data-adaptive regularizers and optimizing forward…

最优化与控制 · 数学 2025-11-11 Mohammad Sadegh Salehi , Subhadip Mukherjee , Lindon Roberts , Matthias J. Ehrhardt

In recent years, decentralized learning has emerged as a powerful tool not only for large-scale machine learning, but also for preserving privacy. One of the key challenges in decentralized learning is that the data distribution held by…

最优化与控制 · 数学 2022-09-23 Yuki Takezawa , Kenta Niwa , Makoto Yamada