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Black-box optimization (BBO) algorithms are concerned with finding the best solutions for problems with missing analytical details. Most classical methods for such problems are based on strong and fixed a priori assumptions, such as…

机器学习 · 计算机科学 2023-02-01 Minfang Lu , Shuai Ning , Shuangrong Liu , Fengyang Sun , Bo Zhang , Bo Yang , Lin Wang

A mathematical framework for modelling constrained mixed-variable optimization problems is presented in a blackbox optimization context. The framework introduces a new notation and allows solution strategies. The notation framework allows…

最优化与控制 · 数学 2022-04-05 Charles Audet , Edward Hallé-Hannan , Sébastien Le Digabel

Solving optimization problems with unknown parameters often requires learning a predictive model to predict the values of the unknown parameters and then solving the problem using these values. Recent work has shown that including the…

机器学习 · 计算机科学 2020-10-23 Kai Wang , Bryan Wilder , Andrew Perrault , Milind Tambe

There are several measures for fairness in ranking, based on different underlying assumptions and perspectives. PL optimization with the REINFORCE algorithm can be used for optimizing black-box objective functions over permutations. In…

机器学习 · 计算机科学 2022-05-02 Ali Vardasbi , Fatemeh Sarvi , Maarten de Rijke

The optimization of large-scale multibody systems is a numerically challenging task, in particular when considering multiple conflicting criteria at the same time. In this situation, we need to approximate the Pareto set of optimal…

Bayesian Optimisation (BO) methods seek to find global optima of objective functions which are only available as a black-box or are expensive to evaluate. Such methods construct a surrogate model for the objective function, quantifying the…

机器学习 · 统计学 2023-01-10 Enrico Crovini , Simon L. Cotter , Konstantinos Zygalakis , Andrew B. Duncan

Data-driven optimization has found many successful applications in the real world and received increased attention in the field of evolutionary optimization. Most existing algorithms assume that the data used for optimization is always…

神经与进化计算 · 计算机科学 2021-06-24 Jinjin Xu , Yaochu Jin , Wenli Du

Bayesian optimization (BO) is an effective method of finding the global optima of black-box functions. Recently BO has been applied to neural architecture search and shows better performance than pure evolutionary strategies. All these…

机器学习 · 计算机科学 2019-05-16 Lizheng Ma , Jiaxu Cui , Bo Yang

Local optimization presents a promising approach to expensive, high-dimensional black-box optimization by sidestepping the need to globally explore the search space. For objective functions whose gradient cannot be evaluated directly,…

机器学习 · 计算机科学 2023-01-18 Quan Nguyen , Kaiwen Wu , Jacob R. Gardner , Roman Garnett

Multiobjective simulation optimization (MOSO) problems are optimization problems with multiple conflicting objectives, where evaluation of at least one of the objectives depends on a black-box numerical code or real-world experiment, which…

最优化与控制 · 数学 2025-01-13 Tyler H. Chang , Stefan M. Wild

Explainable AI is a crucial component for edge services, as it ensures reliable decision making based on complex AI models. Surrogate models are a prominent approach of XAI where human-interpretable models, such as a linear regression…

机器学习 · 计算机科学 2025-03-12 Foivos Charalampakos , Thomas Tsouparopoulos , Iordanis Koutsopoulos

Recent works in learning-integrated optimization have shown promise in settings where the optimization problem is only partially observed or where general-purpose optimizers perform poorly without expert tuning. By learning an optimizer…

机器学习 · 计算机科学 2023-11-06 Arman Zharmagambetov , Brandon Amos , Aaron Ferber , Taoan Huang , Bistra Dilkina , Yuandong Tian

Machine learning models play a vital role in time series forecasting. These models, however, often overlook an important element: point uncertainty estimates. Incorporating these estimates is crucial for effective risk management, informed…

机器学习 · 计算机科学 2024-09-11 Leonid Erlygin , Vladimir Zholobov , Valeriia Baklanova , Evgeny Sokolovskiy , Alexey Zaytsev

Black-box optimization problems, which are common in many real-world applications, require optimization through input-output interactions without access to internal workings. This often leads to significant computational resources being…

神经与进化计算 · 计算机科学 2024-03-25 Hao Hao , Xiaoqun Zhang , Aimin Zhou

The challenges of black box optimization arise due to imprecise responses and limited output information. This article describes new results on optimizing multivariable functions using an Order Oracle, which provides access only to the…

最优化与控制 · 数学 2024-09-20 Boris Chervonenkis , Andrei Krasnov , Alexander Gasnikov , Aleksandr Lobanov

We propose a practical Bayesian optimization method over sets, to minimize a black-box function that takes a set as a single input. Because set inputs are permutation-invariant, traditional Gaussian process-based Bayesian optimization…

机器学习 · 统计学 2021-01-26 Jungtaek Kim , Michael McCourt , Tackgeun You , Saehoon Kim , Seungjin Choi

Bayesian optimization (BO) is one of the most powerful strategies to solve computationally expensive-to-evaluate blackbox optimization problems. However, BO methods are conventionally used for optimization problems of small dimension…

最优化与控制 · 数学 2025-02-10 Rémy Priem , Youssef Diouane , Nathalie Bartoli , Sylvain Dubreuil , Paul Saves

Bayesian optimization (BO) is a framework for global optimization of expensive-to-evaluate objective functions. Classical BO methods assume that the objective function is a black box. However, internal information about objective function…

机器学习 · 计算机科学 2022-01-04 Raul Astudillo , Peter I. Frazier

Majorization-minimization schemes are a broad class of iterative methods targeting general optimization problems, including nonconvex, nonsmooth and stochastic. These algorithms minimize successively a sequence of upper bounds of the…

最优化与控制 · 数学 2024-01-11 Daniela Lupu , Ion Necoara

We introduce and study various algorithms for solving nonconvex minimization with inequality constraints, based on the construction of convex surrogate envelopes that majorize the objective and the constraints. In the case where the…

最优化与控制 · 数学 2025-06-11 Nuozhou Wang , Junyu Zhang , Shuzhong Zhang