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Bayesian optimization is a highly efficient approach to optimizing objective functions which are expensive to query. These objectives are typically represented by Gaussian process (GP) surrogate models which are easy to optimize and support…

机器学习 · 计算机科学 2024-05-09 Yucen Lily Li , Tim G. J. Rudner , Andrew Gordon Wilson

Heuristic optimisation algorithms explore the search space by sampling solutions, evaluating their fitness, and biasing the search in the direction of promising solutions. However, in many cases, this fitness function involves executing…

神经与进化计算 · 计算机科学 2024-10-07 Pablo S. Naharro , Pablo Toharia , Antonio LaTorre , José-María Peña

Solutions to multi-objective optimization problems can generally not be compared or ordered, due to the lack of orderability of the single objectives. Furthermore, decision-makers are often made to believe that scaled objectives can be…

最优化与控制 · 数学 2022-05-31 Sebastian Hönel , Welf Löwe

This paper describes a simple, but effective sampling method for optimizing and learning a discrete approximation (or surrogate) of a multi-dimensional function along a one-dimensional line segment of interest. The method does not rely on…

最优化与控制 · 数学 2023-07-21 Dimitri J. Papageorgiou , Jan Kronqvist , Krishnan Kumaran

This paper studies the challenging black-box adversarial attack that aims to generate adversarial examples against a black-box model by only using output feedback of the model to input queries. Some previous methods improve the query…

机器学习 · 计算机科学 2024-05-30 Shuyu Cheng , Yibo Miao , Yinpeng Dong , Xiao Yang , Xiao-Shan Gao , Jun Zhu

In this paper, we introduce a novel approach for addressing the multi-objective optimization problem in large language model merging via black-box multi-objective optimization algorithms. The goal of model merging is to combine multiple…

计算与语言 · 计算机科学 2024-11-26 Bingdong Li , Zixiang Di , Yanting Yang , Hong Qian , Peng Yang , Hao Hao , Ke Tang , Aimin Zhou

We consider the problem of optimizing a grey-box objective function, i.e., nested function composed of both black-box and white-box functions. A general formulation for such grey-box problems is given, which covers the existing grey-box…

机器学习 · 计算机科学 2023-08-03 Wenjie Xu , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

In recent years, solving optimization problems involving black-box simulators has become a point of focus for the machine learning community due to their ubiquity in science and engineering. The simulators describe a forward process…

机器学习 · 计算机科学 2024-06-07 Fabio Valerio Massoli , Tim Bakker , Thomas Hehn , Tribhuvanesh Orekondy , Arash Behboodi

We propose a new uncertainty estimator for gradient-free optimisation of black-box simulators using deep generative surrogate models. Optimisation of these simulators is especially challenging for stochastic simulators and higher…

机器学习 · 计算机科学 2024-11-05 Tigran Ramazyan , Mikhail Hushchyn , Denis Derkach

Parametric shape optimization aims at minimizing an objective function f(x) where x are CAD parameters. This task is difficult when f is the output of an expensive-to-evaluate numerical simulator and the number of CAD parameters is large.…

机器学习 · 统计学 2021-05-06 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

The Majorization-Minimization (MM) framework is widely used to derive efficient algorithms for specific problems that require the optimization of a cost function (which can be convex or not). It is based on a sequential optimization of a…

最优化与控制 · 数学 2024-05-07 Carlos Alejandro Lopez , Jaume Riba

In offline data-driven multi-objective optimization (MOO), optimization is performed using surrogate models trained only on an offline dataset. These surrogate models contain inherent errors and uncertainty. This epistemic uncertainty can…

神经与进化计算 · 计算机科学 2026-04-30 Huanbo Lyu , Miqing Li , Shiqiao Zhou , Daniel Herring , Jelena Ninic , Zheming Zuo , Lingfeng Wang , James Andrews , Fabian Spill , Shuo Wang

Some real-world problems revolve to solve the optimization problem \max_{x\in\mathcal{X}}f\left(x\right) where f\left(.\right) is a black-box function and X might be the set of non-vectorial objects (e.g., distributions) where we can only…

机器学习 · 计算机科学 2017-09-20 Trung Le , Khanh Nguyen , Tu Dinh Nguyen , Dinh Phung

Global optimization of black-box functions is challenging in high dimensions. We introduce a conceptual adaptive random search framework, Branching Adaptive Surrogate Search Optimization (BASSO), that combines partitioning and surrogate…

最优化与控制 · 数学 2025-04-28 Pariyakorn Maneekul , Zelda B. Zabinsky , Giulia Pedrielli

Surrogate Optimization (SO) algorithms have shown promise for optimizing expensive black-box functions. However, their performance is heavily influenced by hyperparameters related to sampling and surrogate fitting, which poses a challenge…

机器学习 · 计算机科学 2023-10-13 Nazanin Nezami , Hadis Anahideh

The present paper proposes a Bayesian framework for inverse problems that seamlessly integrates optimization and inversion to enable rapid surrogate modeling, accurate parameter inference, and rigorous uncertainty quantification. Bayesian…

计算工程、金融与科学 · 计算机科学 2026-02-05 Mihaela Chiappetta , Massimo Carraturo , Alexander Raßloff , Markus Kästner , Ferdinando Auricchio

Most real-world optimization problems are difficult to solve with traditional statistical techniques or with metaheuristics. The main difficulty is related to the existence of a considerable number of local optima, which may result in the…

神经与进化计算 · 计算机科学 2022-06-08 Gloria Pietropolli , Giuliamaria Menara , Mauro Castelli

In many optimization problems arising from scientific, engineering and artificial intelligence applications, objective and constraint functions are available only as the output of a black-box or simulation oracle that does not provide…

最优化与控制 · 数学 2019-08-15 Jeffrey Larson , Matt Menickelly , Stefan M. Wild

Bayesian optimisation (BO) has been widely used to solve problems with expensive function evaluations. In multi-objective optimisation problems, BO aims to find a set of approximated Pareto optimal solutions. There are typically two ways to…

机器学习 · 计算机科学 2022-08-16 Tinkle Chugh

In this paper, a branch and bound algorithm that incorporates the decision maker's preference information is proposed for multiobjective optimization. In the proposed algorithm, a new discarding test is designed to check whether a box…

最优化与控制 · 数学 2023-02-28 Weitian Wu , Xinmin Yang