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Bilevel optimization has recently attracted considerable attention due to its abundant applications in machine learning problems. However, existing methods rely on prior knowledge of problem parameters to determine stepsizes, resulting in…

Machine Learning · Computer Science 2024-10-10 Yifan Yang , Hao Ban , Minhui Huang , Shiqian Ma , Kaiyi Ji

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…

Machine Learning · Computer Science 2023-02-27 Yang Jiao , Kai Yang , Tiancheng Wu , Dongjin Song , Chengtao Jian

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…

Optimization and Control · Mathematics 2023-06-02 Xuxing Chen , Minhui Huang , Shiqian Ma , Krishnakumar Balasubramanian

Bilevel optimization has gained significant attention in recent years due to its broad applications in machine learning. This paper focuses on bilevel optimization in decentralized networks and proposes a novel single-loop algorithm for…

Optimization and Control · Mathematics 2024-04-24 Youran Dong , Shiqian Ma , Junfeng Yang , Chao Yin

Bilevel optimization has found extensive applications in modern machine learning problems such as hyperparameter optimization, neural architecture search, meta-learning, etc. While bilevel problems with a unique inner minimal point (e.g.,…

Optimization and Control · Mathematics 2022-06-09 Daouda Sow , Kaiyi Ji , Ziwei Guan , Yingbin Liang

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…

Machine Learning · Computer Science 2025-01-16 Xiaochuan Gong , Jie Hao , Mingrui Liu

Bilevel optimization is a popular hierarchical model in machine learning, and has been widely applied to many machine learning tasks such as meta learning, hyperparameter learning and policy optimization. Although many bilevel optimization…

Machine Learning · Computer Science 2022-11-15 Feihu Huang

Stochastic bilevel optimization (SBO) is becoming increasingly essential in machine learning due to its versatility in handling nested structures. To address large-scale SBO, decentralized approaches have emerged as effective paradigms in…

Optimization and Control · Mathematics 2025-11-27 Boao Kong , Shuchen Zhu , Songtao Lu , Xinmeng Huang , Kun Yuan

Adam has become one of the most popular optimizers for training modern deep neural networks, such as transformers. However, its applicability is largely restricted to single-level optimization problems. In this paper, we aim to extend…

Machine Learning · Computer Science 2025-03-07 Xiaochuan Gong , Jie Hao , Mingrui Liu

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.…

Optimization and Control · Mathematics 2026-02-27 Youcheng Niu , Jinming Xu , Ying Sun , Li Chai , Jiming Chen

Stochastic multi-level compositional optimization problems cover many new machine learning paradigms, e.g., multi-step model-agnostic meta-learning, which require efficient optimization algorithms for large-scale data. This paper studies…

Machine Learning · Computer Science 2024-06-03 Hongchang Gao

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…

Optimization and Control · Mathematics 2025-11-11 Mohammad Sadegh Salehi , Subhadip Mukherjee , Lindon Roberts , Matthias J. Ehrhardt

Existing methods for solving Riemannian bilevel optimization (RBO) problems require prior knowledge of the problem's first- and second-order information and curvature parameter of the Riemannian manifold to determine step sizes, which poses…

Optimization and Control · Mathematics 2025-10-14 Xu Shi , Rufeng Xiao , Rujun Jiang

Decentralized learning recently has received increasing attention in machine learning due to its advantages in implementation simplicity and system robustness, data privacy. Meanwhile, the adaptive gradient methods show superior…

Machine Learning · Computer Science 2024-08-20 Feihu Huang , Jianyu Zhao

We study decentralized optimization over networks where agents cooperatively minimize a smooth (strongly) convex sum of local losses while communicating only with immediate neighbors. Prevailing decentralized methods require either…

Optimization and Control · Mathematics 2026-05-04 Xiaokai Chen , Ilya Kuruzov , Gesualdo Scutari

Bilevel optimization, crucial for hyperparameter tuning, meta-learning and reinforcement learning, remains less explored in the decentralized learning paradigm, such as decentralized federated learning (DFL). Typically, decentralized…

Machine Learning · Computer Science 2024-10-21 Min Wen , Chengchang Liu , Ahmed Abdelmoniem , Yipeng Zhou , Yuedong Xu

Decentralized stochastic bilevel optimization (DSBO) is a powerful tool for various machine learning tasks, including decentralized meta-learning and hyperparameter tuning. Existing DSBO methods primarily address problems with strongly…

Optimization and Control · Mathematics 2026-02-02 Yaoshuai Ma , Xiao Wang , Wei Yao , Jin Zhang

Hyperparameter tuning, particularly the selection of an appropriate learning rate in adaptive gradient training methods, remains a challenge. To tackle this challenge, in this paper, we propose a novel parameter-free optimizer,…

Machine Learning · Computer Science 2024-05-28 Yijiang Pang , Shuyang Yu , Bao Hoang , Jiayu Zhou

This paper consider solving a class of nonconvex-strongly-convex distributed stochastic bilevel optimization (DSBO) problems with personalized inner-level objectives. Most existing algorithms require computational loops for hypergradient…

Optimization and Control · Mathematics 2025-04-08 Youcheng Niu , Jinming Xu , Ying Sun , Yan Huang , Li Chai

We study decentralized optimization where multiple agents minimize the average of their (strongly) convex, smooth losses over a communication graph. Convergence of the existing decentralized methods generally hinges on an apriori, proper…

Optimization and Control · Mathematics 2025-08-01 Ilya Kuruzov , Xiaokai Chen , Gesualdo Scutari , Alexander Gasnikov
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