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We consider the problem of offline black-box optimization, where the goal is to discover optimal designs (e.g., molecules or materials) from past experimental data. A key challenge in this setting is data scarcity: in many scientific…

机器学习 · 计算机科学 2026-05-22 Azza Fadhel , The Hung Tran , Trong Nghia Hoang , Jana Doppa

In this paper, the global optimization problem $\min_{y\in S} F(y)$ with $S$ being a hyperinterval in $\Re^N$ and $F(y)$ satisfying the Lipschitz condition with an unknown Lipschitz constant is considered. It is supposed that the function…

最优化与控制 · 数学 2015-09-14 Daniela Lera , Yaroslav D. Sergeyev

We consider model-based derivative-free optimization (DFO) for large-scale problems, based on iterative minimization in random subspaces. We provide the first worst-case complexity bound for such methods for convergence to approximate…

最优化与控制 · 数学 2024-12-20 Coralia Cartis , Lindon Roberts

It has been shown that cooperative coevolution (CC) can effectively deal with large scale optimization problems (LSOPs) through a divide-and-conquer strategy. However, its performance is severely restricted by the current…

神经与进化计算 · 计算机科学 2018-02-28 Zhigang Ren , Bei Pang , Yongsheng Liang , An Chen , Yipeng Zhang

Bayesian optimization has recently emerged as a popular method for the sample-efficient optimization of expensive black-box functions. However, the application to high-dimensional problems with several thousand observations remains…

机器学习 · 计算机科学 2020-02-26 David Eriksson , Michael Pearce , Jacob R Gardner , Ryan Turner , Matthias Poloczek

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

Gradient-free optimization methods, such as surrogate based optimization (SBO) methods, and genetic (GAs), or evolutionary (EAs) algorithms have gained popularity in the field of constrained optimization of expensive black-box functions.…

最优化与控制 · 数学 2021-07-22 Ahmed Abouhussein , Nusrat Islam , Yulia T. Peet

Self-Organizing Maps (SOM) are a classical method for unsupervised learning, vector quantization, and topographic mapping of high-dimensional data. However, existing SOM formulations often involve a trade-off between computational…

机器学习 · 计算机科学 2026-04-16 Seiki Ubukata , Akira Notsu , Katsuhiro Honda

Performing multi-objective Bayesian optimisation by scalarising the objectives avoids the computation of expensive multi-dimensional integral-based acquisition functions, instead of allowing one-dimensional standard acquisition…

机器学习 · 计算机科学 2021-04-13 Clym Stock-Williams , Tinkle Chugh , Alma Rahat , Wei Yu

In simulation-based engineering, design choices are often obtained following the optimization of complex blackbox models. These models frequently involve mixed-variable domains with quantitative and categorical variables. Unlike…

Recent deep reinforcement learning methods have achieved remarkable success in solving multi-objective combinatorial optimization problems (MOCOPs) by decomposing them into multiple subproblems, each associated with a specific weight…

人工智能 · 计算机科学 2026-03-23 Mingfeng Fan , Jianan Zhou , Yifeng Zhang , Yaoxin Wu , Jinbiao Chen , Guillaume Adrien Sartoretti

Dimension reduction is a fundamental tool for analyzing high-dimensional data in supervised learning. Traditional methods for estimating intrinsic order often prioritize model-specific structural assumptions over predictive utility. This…

统计方法学 · 统计学 2026-01-16 Yue Yu , Guanghui Wang , Liu Liu , Changliang Zou

Training object detectors with only image-level annotations is very challenging because the target objects are often surrounded by a large number of background clutters. Many existing approaches tackle this problem through object proposal…

计算机视觉与模式识别 · 计算机科学 2017-08-08 Wenhui Jiang , Thuyen Ngo , B. S. Manjunath , Zhicheng Zhao , Fei Su

We investigate the static portfolio selection problem of S-shaped and non-concave utility maximization under first-order and second-order stochastic dominance (SD) constraints. In many S-shaped utility optimization problems, one should…

数理金融 · 定量金融 2026-03-16 Zeyun Hu , Yang Liu

A multi-fidelity (MF) active learning method is presented for design optimization problems characterized by noisy evaluations of the performance metrics. Namely, a generalized MF surrogate model is used for design-space exploration,…

Semantic segmentation consists of predicting a semantic label for each image pixel. While existing deep learning approaches achieve high accuracy, they often overlook the ordinal relationships between classes, which can provide critical…

计算机视觉与模式识别 · 计算机科学 2025-02-06 Ricardo P. M. Cruz , Rafael Cristino , Jaime S. Cardoso

As distributed systems increase in size, the need for scalable algorithms becomes more and more important. We argue that in the context of system identification, an essential building block of any scalable algorithm is the ability to…

最优化与控制 · 数学 2014-07-23 Nikolai Matni , Anders Rantzer

In this paper, a robust sequential quadratic programming method for constrained optimization is generalized to problem with an {expectation} objective function {and} deterministic equality and inequality constraints. A stochastic line…

最优化与控制 · 数学 2024-10-07 Songqiang Qiu , Vyacheslav Kungurtsev

We study the numerical integration problem for functions with infinitely many variables. The function spaces of integrands we consider are weighted reproducing kernel Hilbert spaces with norms related to the ANOVA decomposition of the…

数值分析 · 数学 2021-09-21 Josef Dick , Michael Gnewuch

Simulations of large scale dynamical systems in multi-query or real-time contexts require efficient surrogate modelling techniques, as e.g. achieved via Model Order Reduction (MOR). Recently, symplectic methods like the complex singular…

数值分析 · 数学 2023-03-08 Robin Herkert , Patrick Buchfink , Bernard Haasdonk , Johannes Rettberg , Jörg Fehr