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Bayesian optimization (BO) is a popular global optimization scheme for sample-efficient optimization in domains with expensive function evaluations. The existing BO techniques are capable of finding a single global optimum solution.…

最优化与控制 · 数学 2023-08-08 Yongsheng Mei , Tian Lan , Mahdi Imani , Suresh Subramaniam

We study how to allocate a fixed supervised fine-tuning budget when three objectives must be balanced at once: multi-turn safety alignment, low over-refusal on benign boundary queries, and instruction following under verifiable constraints.…

密码学与安全 · 计算机科学 2026-03-20 Yipu Dou , Wang Yang

Many control problems require repeated tuning and adaptation of controllers across distinct closed-loop tasks, where data efficiency and adaptability are critical. We propose a hierarchical Bayesian optimization (BO) framework that is…

系统与控制 · 电气工程与系统科学 2026-03-27 Sebastian Hirt , Lukas Theiner , Maik Pfefferkorn , Rolf Findeisen

The closed-loop performance of model predictive controllers (MPCs) is sensitive to the choice of prediction models, controller formulation, and tuning parameters. However, prediction models are typically optimized for prediction accuracy…

系统与控制 · 电气工程与系统科学 2020-11-25 Farshud Sorourifar , Georgios Makrygirgos , Ali Mesbah , Joel A. Paulson

The aim of black-box optimization is to optimize an objective function within the constraints of a given evaluation budget. In this problem, it is generally assumed that the computational cost for evaluating a point is large; thus, it is…

机器学习 · 统计学 2019-12-03 Masahiro Nomura , Kenshi Abe

Optimizing discrete black-box functions is key in several domains, e.g. protein engineering and drug design. Due to the lack of gradient information and the need for sample efficiency, Bayesian optimization is an ideal candidate for these…

We present mlrMBO, a flexible and comprehensive R toolbox for model-based optimization (MBO), also known as Bayesian optimization, which addresses the problem of expensive black-box optimization by approximating the given objective function…

机器学习 · 统计学 2018-12-04 Bernd Bischl , Jakob Richter , Jakob Bossek , Daniel Horn , Janek Thomas , Michel Lang

Real-world black-box optimization often involves time-consuming or costly experiments and simulations. Multi-fidelity optimization (MFO) stands out as a cost-effective strategy that balances high-fidelity accuracy with computational…

机器学习 · 计算机科学 2024-02-16 Ke Li , Fan Li

We present a novel adaptive optimization algorithm for black-box multi-objective optimization problems with binary constraints on the foundation of Bayes optimization. Our method is based on probabilistic regression and classification…

机器学习 · 统计学 2021-03-01 Raoul Heese , Michael Bortz

Multi-objective optimization is central to many engineering and machine learning applications, where multiple objectives must be optimized in balance. While multi-gradient based optimization methods combine these objectives in each step,…

最优化与控制 · 数学 2026-05-13 Trang H. Tran , Luis Nunes Vicente

Subset selection with cost constraints aims to select a subset from a ground set to maximize a monotone objective function without exceeding a given budget, which has various applications such as influence maximization and maximum coverage.…

数据结构与算法 · 计算机科学 2024-09-10 Dan-Xuan Liu , Chao Qian

Bayesian optimization (BO) is a popular framework to optimize black-box functions. In many applications, the objective function can be evaluated at multiple fidelities to enable a trade-off between the cost and accuracy. To reduce the…

机器学习 · 计算机科学 2020-12-11 Shibo Li , Wei Xing , Mike Kirby , Shandian Zhe

Optimization has found numerous applications in engineering, particularly since 1960s. Many optimization applications in engineering have more than one objective (or performance criterion). Such applications require multi-objective (or…

化学物理 · 物理学 2024-07-16 Zhiyuan Wang , Seyed Reza Nabavi , Gade Pandu Rangaiah

Bayesian optimization (BO) is an efficient framework for optimization of black-box objectives when function evaluations are costly and gradient information is not easily accessible. BO has been successfully applied to automate the task of…

机器学习 · 计算机科学 2024-07-09 Pallavi Mitra , Felix Biessmann

Multiobjective combinatorial optimization (MOCO) problems can be found in many real-world applications. However, exactly solving these problems would be very challenging, particularly when they are NP-hard. Many handcrafted heuristic…

机器学习 · 计算机科学 2022-05-10 Xi Lin , Zhiyuan Yang , Qingfu Zhang

With modern requirements, there is an increasing tendency of considering multiple objectives/criteria simultaneously in many Software Engineering (SE) scenarios. Such a multi-objective optimization scenario comes with an important issue --…

软件工程 · 计算机科学 2020-12-01 Miqing Li , Tao Chen , Xin Yao

Recently, multi-fidelity Bayesian optimization (MFBO) has been successfully applied to many engineering design optimization problems, where the cost of high-fidelity simulations and experiments can be prohibitive. However, challenges remain…

The global optimization of a high-dimensional black-box function under black-box constraints is a pervasive task in machine learning, control, and engineering. These problems are challenging since the feasible set is typically non-convex…

机器学习 · 计算机科学 2021-03-02 David Eriksson , Matthias Poloczek

Unknown constraints arise in many types of expensive black-box optimization problems. Several methods have been proposed recently for performing Bayesian optimization with constraints, based on the expected improvement (EI) heuristic.…

Prediction+optimization is a common real-world paradigm where we have to predict problem parameters before solving the optimization problem. However, the criteria by which the prediction model is trained are often inconsistent with the goal…

机器学习 · 计算机科学 2021-11-23 Kai Yan , Jie Yan , Chuan Luo , Liting Chen , Qingwei Lin , Dongmei Zhang