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Adversarial attacks pose significant challenges in many machine learning applications, particularly in the setting of distributed training and federated learning, where malicious agents seek to corrupt the training process with the goal of…

机器学习 · 计算机科学 2025-06-10 Nicolás García Trillos , Aditya Kumar Akash , Sixu Li , Konstantin Riedl , Yuhua Zhu

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

机器学习 · 计算机科学 2017-07-06 Jakub Konečný

Bilevel Optimization has experienced significant advancements recently with the introduction of new efficient algorithms. Mirroring the success in single-level optimization, stochastic gradient-based algorithms are widely used in bilevel…

最优化与控制 · 数学 2024-11-12 Junyi Li , Heng Huang

The proliferation of the Internet of Things (IoT) and widespread use of devices with sensing, computing, and communication capabilities have motivated intelligent applications empowered by artificial intelligence. The classical artificial…

机器学习 · 计算机科学 2022-06-24 Zunming Chen , Hongyan Cui , Ensen Wu , Yu Xi

Adaptive optimization is critical in federated learning, where enabling adaptivity on both the server and client sides has proven essential for achieving optimal performance. However, the scalability of such jointly adaptive systems is…

机器学习 · 计算机科学 2025-10-28 Su Hyeong Lee , Sidharth Sharma , Manzil Zaheer , Tian Li

Multilevel optimization has gained renewed interest in machine learning due to its promise in applications such as hyperparameter tuning and continual learning. However, existing methods struggle with the inherent difficulty of efficiently…

机器学习 · 计算机科学 2024-10-16 Yuntian Gu , Xuzheng Chen

In Federated Learning (FL), a number of clients or devices collaborate to train a model without sharing their data. Models are optimized locally at each client and further communicated to a central hub for aggregation. While FL is an…

机器学习 · 计算机科学 2023-07-25 Farshid Varno , Marzie Saghayi , Laya Rafiee Sevyeri , Sharut Gupta , Stan Matwin , Mohammad Havaei

Bilevel optimization deals with nested problems in which a leader takes the first decision to minimize their objective function while accounting for a follower's best-response reaction. Constrained bilevel problems with integer variables…

最优化与控制 · 数学 2024-11-04 Justin Dumouchelle , Esther Julien , Jannis Kurtz , Elias B. Khalil

Federated learning (FL) is an emerging learning paradigm to tackle massively distributed data. In Federated Learning, a set of clients jointly perform a machine learning task under the coordination of a server. The FedAvg algorithm is one…

机器学习 · 计算机科学 2023-02-14 Junyi Li , Feihu Huang , Heng Huang

Bilevel optimization reveals the inner structure of otherwise oblique optimization problems, such as hyperparameter tuning, neural architecture search, and meta-learning. A common goal in bilevel optimization is to minimize a…

最优化与控制 · 数学 2026-04-29 Lesi Chen , Jing Xu , Jingzhao Zhang

Federated learning is a distributed and privacy-preserving approach to train a statistical model collaboratively from decentralized data of different parties. However, when datasets of participants are not independent and identically…

机器学习 · 计算机科学 2023-01-24 Li Ju , Tianru Zhang , Salman Toor , Andreas Hellander

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

Constrained bilevel optimization tackles nested structures present in constrained learning tasks like constrained meta-learning, adversarial learning, and distributed bilevel optimization. However, existing bilevel optimization methods…

最优化与控制 · 数学 2024-06-05 Wei Yao , Haian Yin , Shangzhi Zeng , Jin Zhang

In this paper, we propose a novel distributed algorithm to optimize the emergent macroscopic behavior of large-scale multi-agent systems via microscopic actions. We cast this task as a bilevel optimization problem, where the upper level…

最优化与控制 · 数学 2026-04-14 Riccardo Brumali , Guido Carnevale , Sonia Martínez , Giuseppe Notarstefano

Federated Learning (FL) is a distributed machine learning approach that enables model training in communication efficient and privacy-preserving manner. The standard optimization method in FL is Federated Averaging (FedAvg), which performs…

机器学习 · 计算机科学 2023-09-21 Zeyi Tao , Jindi Wu , Qun Li

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

We study a class of bilevel convex optimization problems where the goal is to find the minimizer of an objective function in the upper level, among the set of all optimal solutions of an optimization problem in the lower level. A wide range…

最优化与控制 · 数学 2018-09-27 Mostafa Amini , Farzad Yousefian

Bilevel optimization methods are increasingly relevant within machine learning, especially for tasks such as hyperparameter optimization and meta-learning. Compared to the offline setting, online bilevel optimization (OBO) offers a more…

最优化与控制 · 数学 2024-09-17 Jason Bohne , David Rosenberg , Gary Kazantsev , Pawel Polak

Federated learning has emerged in the last decade as a distributed optimization paradigm due to the rapidly increasing number of portable devices able to support the heavy computational needs related to the training of machine learning…

机器学习 · 计算机科学 2024-10-10 Emanuel Buttaci , Giuseppe Carlo Calafiore

This paper considers a class of distributed bilevel optimization (DBO) problems with a coupled inner-level subproblem. Existing approaches typically rely on hypergradient estimations involving computationally expensive Hessian evaluation.…

最优化与控制 · 数学 2026-02-27 Youcheng Niu , Jinming Xu , Ying Sun , Li Chai , Jiming Chen