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Distributed optimization is fundamental to modern machine learning applications like federated learning, but existing methods often struggle with ill-conditioned problems and face stability-versus-speed tradeoffs. We introduce fractional…

Machine Learning · Computer Science 2024-12-04 Andrei Lixandru , Marcel van Gerven , Sergio Pequito

Federated learning (FL) is a decentralized and privacy-preserving machine learning technique in which a group of clients collaborate with a server to learn a global model without sharing clients' data. One challenge associated with FL is…

Machine Learning · Computer Science 2022-01-27 Canh T. Dinh , Nguyen H. Tran , Tuan Dung Nguyen

In recent years, there has been a surge of machine learning applications developed with hierarchical structure, which can be approached from Bi-Level Optimization (BLO) perspective. However, most existing gradient-based methods overlook the…

Optimization and Control · Mathematics 2025-12-16 Risheng Liu , Yaohua Liu , Shangzhi Zeng , Jin Zhang

Federated learning (FL) has become a hot research area in enabling the collaborative training of machine learning models among multiple clients that hold sensitive local data. Nevertheless, unconstrained federated optimization has been…

Machine Learning · Computer Science 2022-08-31 Ying Cui , Yangchen Li , Chencheng Ye

With the success that the field of bilevel optimization has seen in recent years, similar methodologies have started being applied to solving more difficult applications that arise in trilevel optimization. At the helm of these applications…

Optimization and Control · Mathematics 2025-05-13 Tommaso Giovannelli , Griffin Dean Kent , Luis Nunes Vicente

Federated learning (FL) has gained a lot of attention in recent years for building privacy-preserving collaborative learning systems. However, FL algorithms for constrained machine learning problems are still limited, particularly when the…

Machine Learning · Computer Science 2024-08-20 Ali Dadras , Sourasekhar Banerjee , Karthik Prakhya , Alp Yurtsever

Bilevel optimization is a fundamental tool in hierarchical decision-making and has been widely applied to machine learning tasks such as hyperparameter tuning, meta-learning, and continual learning. While significant progress has been made…

Optimization and Control · Mathematics 2025-04-25 Nazanin Abolfazli , Sina Sharifi , Mahyar Fazlyab , Erfan Yazdandoost Hamedani

Multitask learning (MTL) can utilize the relatedness between multiple tasks for performance improvement. The advent of multimodal data allows tasks to be referenced by multiple indices. High-order tensors are capable of providing efficient…

Machine Learning · Computer Science 2023-08-23 Jiani Liu , Qinghua Tao , Ce Zhu , Yipeng Liu , Johan A. K. Suykens

Learning from the collective knowledge of data dispersed across private sources can provide neural networks with enhanced generalization capabilities. Federated learning, a method for collaboratively training a machine learning model across…

Machine Learning · Computer Science 2024-05-20 Matt Gorbett , Hossein Shirazi , Indrakshi Ray

Motivated by the emergence of federated learning (FL), we design and analyze federated methods for addressing: (i) Nondifferentiable nonconvex optimization; (ii) Bilevel optimization; (iii) Minimax problems; and (iv) Two-stage stochastic…

Optimization and Control · Mathematics 2025-07-04 Yuyang Qiu , Uday V. Shanbhag , Farzad Yousefian

There is an increasing interest in a fast-growing machine learning technique called Federated Learning, in which the model training is distributed over mobile user equipments (UEs), exploiting UEs' local computation and training data.…

Machine Learning · Computer Science 2020-12-23 Canh T. Dinh , Nguyen H. Tran , Minh N. H. Nguyen , Choong Seon Hong , Wei Bao , Albert Y. Zomaya , Vincent Gramoli

This paper considers the simple bilevel optimization (SBO) problem, which minimizes a composite convex function over the optimal solution set of another composite convex minimization problem. We first show that this bilevel problem is…

Optimization and Control · Mathematics 2025-07-11 Rujun Jiang , Xu Shi , Weizheng Song , Jiulin Wang

In this paper, we consider non-convex stochastic bilevel optimization (SBO) problems that have many applications in machine learning. Although numerous studies have proposed stochastic algorithms for solving these problems, they are limited…

Optimization and Control · Mathematics 2021-06-15 Zhishuai Guo , Quanqi Hu , Lijun Zhang , Tianbao Yang

Federated Learning (FL) is a decentralized learning approach that protects sensitive information by utilizing local model parameters rather than sharing clients' raw datasets. While this privacy-preserving method is widely employed across…

Machine Learning · Computer Science 2024-11-20 Yasaman Saadati , M. Hadi Amini

Heterogeneity in federated learning (FL) is a critical and challenging aspect that significantly impacts model performance and convergence. In this paper, we propose a novel framework by formulating heterogeneous FL as a hierarchical…

Optimization and Control · Mathematics 2025-09-11 Yuyang Qiu , Kibaek Kim , Farzad Yousefian

Federated learning (FL) is a widely employed distributed paradigm for collaboratively training machine learning models from multiple clients without sharing local data. In practice, FL encounters challenges in dealing with partial client…

Machine Learning · Computer Science 2024-10-30 Xin Liu , Wei li , Dazhi Zhan , Yu Pan , Xin Ma , Yu Ding , Zhisong Pan

Non-Independent and Identically Distributed (non- IID) data distribution among clients is considered as the key factor that degrades the performance of federated learning (FL). Several approaches to handle non-IID data such as personalized…

Machine Learning · Computer Science 2022-10-12 Canh T. Dinh , Tung T. Vu , Nguyen H. Tran , Minh N. Dao , Hongyu Zhang

Traditionally, multitask learning (MTL) assumes that all the tasks are related. This can lead to negative transfer when tasks are indeed incoherent. Recently, a number of approaches have been proposed that alleviate this problem by…

Machine Learning · Computer Science 2012-06-22 Wenliang Zhong , James Kwok

This paper firstly proposes a convex bilevel optimization paradigm to formulate and optimize popular learning and vision problems in real-world scenarios. Different from conventional approaches, which directly design their iteration schemes…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Risheng Liu , Long Ma , Xiaoming Yuan , Shangzhi Zeng , Jin Zhang

Out-of-Distribution (OOD) generalization in machine learning is a burgeoning area of study. Its primary goal is to enhance the adaptability and resilience of machine learning models when faced with new, unseen, and potentially adversarial…

Machine Learning · Computer Science 2024-11-05 Chengtao Jian , Kai Yang , Yang Jiao