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We consider the problem of approximating an unknown function from point evaluations. This problem is a crucial subproblem in many modern (nonlinear) approximation schemes. When obtaining these point evaluations is costly, minimising the…

数值分析 · 数学 2025-12-03 Philipp Trunschke , Anthony Nouy

Black-box optimization refers to the optimization problem whose objective function and/or constraint sets are either unknown, inaccessible, or non-existent. In many applications, especially with the involvement of humans, the only way to…

We study the problem of minimizing a convex function on a nonempty, finite subset of the integer lattice when the function cannot be evaluated at noninteger points. We propose a new underestimator that does not require access to…

最优化与控制 · 数学 2021-08-19 Jeffrey Larson , Sven Leyffer , Prashant Palkar , Stefan M. Wild

This paper studies the black-box optimization task which aims to find the maxima of a black-box function using a static set of its observed input-output pairs. This is often achieved via learning and optimizing a surrogate function with…

机器学习 · 计算机科学 2025-10-24 Manh Cuong Dao , The Hung Tran , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang

Derivative-Free Optimization (DFO) involves methods that rely solely on evaluations of the objective function. One of the earliest strategies for designing DFO methods is to adapt first-order methods by replacing gradients with…

最优化与控制 · 数学 2025-02-12 Timothé Taminiau , Estelle Massart , Geovani Nunes Grapiglia

Sampling techniques are used in many fields, including design of experiments, image processing, and graphics. The techniques in each field are designed to meet the constraints specific to that field such as uniform coverage of the range of…

机器学习 · 计算机科学 2023-06-08 Chandrika Kamath

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

Surrogate models are used to alleviate the computational burden in engineering tasks, which require the repeated evaluation of computationally demanding models of physical systems, such as the efficient propagation of uncertainties. For…

机器学习 · 统计学 2022-09-28 Felix Schneider , Iason Papaioannou , Gerhard Müller

Derivative-free optimization algorithms are particularly useful for tackling blackbox optimization problems where the objective function arises from complex and expensive procedures that preclude the use of classical gradient-based methods.…

最优化与控制 · 数学 2026-03-31 El Houcine Bergou , Youssef Diouane , Vyacheslav Kungurtsev , Clément W. Royer

This paper is concerned with the approximation of continuously differentiable functions with high-dimensional input by a composition of two functions: a feature map that extracts few features from the input space, and a profile function…

数值分析 · 数学 2026-02-13 Alexandre Pasco , Anthony Nouy

A surrogate-based topology optimisation algorithm for linear elastic structures under parametric loads and boundary conditions is proposed. Instead of learning the parametric solution of the state (and adjoint) problems or the optimisation…

数值分析 · 数学 2025-11-04 Matteo Giacomini , Antonio Huerta

Carefully designed activation functions can improve the performance of neural networks in many machine learning tasks. However, it is difficult for humans to construct optimal activation functions, and current activation function search…

机器学习 · 计算机科学 2023-11-10 Garrett Bingham , Risto Miikkulainen

We consider black-box optimization in which only an extremely limited number of function evaluations, on the order of around 100, are affordable and the function evaluations must be performed in even fewer batches of a limited number of…

机器学习 · 计算机科学 2021-03-19 Carlos Ansotegui , Meinolf Sellmann , Tapan Shah , Kevin Tierney

Bayesian optimization (BO) has well-documented merits for optimizing black-box functions with an expensive evaluation cost. Such functions emerge in applications as diverse as hyperparameter tuning, drug discovery, and robotics. BO hinges…

机器学习 · 统计学 2026-05-28 Qin Lu , Konstantinos D. Polyzos , Bingcong Li , Georgios B. Giannakis

Many important problems in science and engineering, such as drug design, involve optimizing an expensive black-box objective function over a complex, high-dimensional, and structured input space. Although machine learning techniques have…

机器学习 · 计算机科学 2020-10-27 Austin Tripp , Erik Daxberger , José Miguel Hernández-Lobato

Parallel black box optimization consists in estimating the optimum of a function using $\lambda$ parallel evaluations of $f$. Averaging the $\mu$ best individuals among the $\lambda$ evaluations is known to provide better estimates of the…

最优化与控制 · 数学 2021-08-11 Laurent Meunier , Iskander Legheraba , Yann Chevaleyre , Olivier Teytaud

Inexpensive surrogates are useful for reducing the cost of science and engineering studies involving large-scale, complex computational models with many input parameters. A ridge approximation is one class of surrogate that models a…

数值分析 · 数学 2019-03-01 Jeffrey M. Hokanson , Paul G. Constantine

How can robots learn and adapt to new tasks and situations with little data? Systematic exploration and simulation are crucial tools for efficient robot learning. We present a novel black-box policy search algorithm focused on…

机器人学 · 计算机科学 2025-02-11 Shiming He , Alexander von Rohr , Dominik Baumann , Ji Xiang , Sebastian Trimpe

This paper proposes a technique for training a neural network by minimizing a surrogate loss that approximates the target evaluation metric, which may be non-differentiable. The surrogate is learned via a deep embedding where the Euclidean…

计算机视觉与模式识别 · 计算机科学 2020-07-20 Yash Patel , Tomas Hodan , Jiri Matas

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