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相关论文: Reducing Contextual Stochastic Bilevel Optimizatio…

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Bilevel optimization (BO) is useful for solving a variety of important machine learning problems including but not limited to hyperparameter optimization, meta-learning, continual learning, and reinforcement learning. Conventional BO…

机器学习 · 计算机科学 2022-09-20 Mao Ye , Bo Liu , Stephen Wright , Peter Stone , Qiang Liu

In this paper, we revisit the bilevel optimization problem, in which the upper-level objective function is generally nonconvex and the lower-level objective function is strongly convex. Although this type of problem has been studied…

最优化与控制 · 数学 2025-04-08 Yifan Yang , Peiyao Xiao , Kaiyi Ji

Bilevel optimization, with broad applications in machine learning, has an intricate hierarchical structure. Gradient-based methods have emerged as a common approach to large-scale bilevel problems. However, the computation of the…

最优化与控制 · 数学 2025-02-27 Yan Yang , Bin Gao , Ya-xiang Yuan

In this work, we propose derivative-free framework for bilevel optimization. We consider both the upper and lower-level problems with bound constraints on the variables, as well as general nonlinear constraints, assuming that first-order…

最优化与控制 · 数学 2026-03-24 Edoardo Cesaroni , Giampaolo Liuzzi , Stefano Lucidi

While stochastic bilevel optimization methods have been extensively studied for addressing large-scale nested optimization problems in machine learning, it remains an open question whether the optimal complexity bounds for solving bilevel…

最优化与控制 · 数学 2026-03-24 Tianshu Chu , Dachuan Xu , Wei Yao , Jin Zhang

Consensus-based optimization (CBO) is a versatile multi-particle metaheuristic optimization method suitable for performing nonconvex and nonsmooth global optimizations in high dimensions. It has proven effective in various applications…

最优化与控制 · 数学 2026-05-12 Massimo Fornasier , Peter Richtárik , Konstantin Riedl , Lukang Sun

Bilevel learning has gained prominence in machine learning, inverse problems, and imaging applications, including hyperparameter optimization, learning data-adaptive regularizers, and optimizing forward operators. The large-scale nature of…

最优化与控制 · 数学 2025-05-20 Mohammad Sadegh Salehi , Subhadip Mukherjee , Lindon Roberts , Matthias J. Ehrhardt

We tackle the general differentiable meta learning problem that is ubiquitous in modern deep learning, including hyperparameter optimization, loss function learning, few-shot learning, invariance learning and more. These problems are often…

机器学习 · 计算机科学 2024-10-15 Minyoung Kim , Timothy M. Hospedales

We propose Discrete Consensus-Based Optimization (DCBO), a fully discrete version of the Consensus-Based Optimization (CBO) framework. DCBO is a multi-agent method for the global optimization of possibly non-convex and non-differentiable…

最优化与控制 · 数学 2024-04-17 Junhyeok Byeon , Seung-Yeal Ha , Joong-Ho Won

In many high-throughput experimental design settings, such as those common in biochemical engineering, batched queries are more cost effective than one-by-one sequential queries. Furthermore, it is often not possible to directly choose…

机器学习 · 计算机科学 2019-04-18 Kevin K. Yang , Yuxin Chen , Alycia Lee , Yisong Yue

Stochastic bilevel optimization finds widespread applications in machine learning, including meta-learning, hyperparameter optimization, and neural architecture search. To extend stochastic bilevel optimization to distributed data, several…

机器学习 · 计算机科学 2026-05-26 Yihan Zhang , My T. Thai , Jie Wu , Hongchang Gao

Bilevel optimization has garnered significant attention in the machine learning community recently, particularly regarding the development of efficient numerical methods. While substantial progress has been made in developing efficient…

最优化与控制 · 数学 2026-02-04 Qichao Cao , Shangzhi Zeng , Jin Zhang

Bilevel optimization (BLO) offers a principled framework for hierarchical decision-making and has been widely applied in machine learning tasks such as hyperparameter optimization and meta-learning. While existing BLO methods are mostly…

最优化与控制 · 数学 2025-10-20 Zhuo Chen , Xinjian Xu , Shihui Ying , Tieyong Zeng

Recently, lower-level constrained bilevel optimization has attracted increasing attention. However, existing methods mostly focus on either deterministic cases or problems with linear constraints. The main challenge in stochastic cases with…

最优化与控制 · 数学 2025-10-13 Hantao Nie , Jiaxiang Li , Zaiwen Wen

Bilevel optimization (BLO) problem, where two optimization problems (referred to as upper- and lower-level problems) are coupled hierarchically, has wide applications in areas such as machine learning and operations research. Recently, many…

最优化与控制 · 数学 2025-05-19 Xiaotian Jiang , Ioannis Tsaknakis , Prashant Khanduri , Mingyi Hong

The rapid discovery of new chemical compounds is essential for advancing global health and developing treatments. While generative models show promise in creating novel molecules, challenges remain in ensuring the real-world applicability…

生物大分子 · 定量生物学 2025-09-29 Onur Boyar , Hiroyuki Hanada , Ichiro Takeuchi

Inverse problems are key issues in several scientific areas, including signal processing and medical imaging. Data-driven approaches for inverse problems aim for learning model and regularization parameters from observed data samples, and…

最优化与控制 · 数学 2024-11-28 Mathias Staudigl , Simon Weissmann , Tristan van Leeuwen

Large Language Models (LLMs) have enabled self-improving AI systems that iteratively generate, evaluate, and refine their outcomes. Recent studies show that prompt-optimization-based self-improvement can outperform state-of-the-art…

人工智能 · 计算机科学 2026-01-07 Enoch Hyunwook Kang , Hema Yoganarasimhan

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…

最优化与控制 · 数学 2025-04-08 Youcheng Niu , Jinming Xu , Ying Sun , Yan Huang , Li Chai

Bayesian optimization (BO) is increasingly employed in critical applications to find the optimal design with minimal cost. While BO is known for its sample efficiency, relying solely on costly high-fidelity data can still result in high…

人工智能 · 计算机科学 2025-03-25 Zahra Zanjani Foumani , Ramin Bostanabad