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We address the problem of training models with black-box and hard-to-optimize metrics by expressing the metric as a monotonic function of a small number of easy-to-optimize surrogates. We pose the training problem as an optimization over a…

Machine Learning · Computer Science 2020-02-21 Qijia Jiang , Olaoluwa Adigun , Harikrishna Narasimhan , Mahdi Milani Fard , Maya Gupta

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…

Machine Learning · Computer Science 2024-09-11 Leonid Erlygin , Vladimir Zholobov , Valeriia Baklanova , Evgeny Sokolovskiy , Alexey Zaytsev

In this paper, a new sequential surrogate-based optimization (SSBO) algorithm is developed, which aims to improve the global search ability and local search efficiency for the global optimization of expensive black-box models. The proposed…

Machine Learning · Statistics 2018-11-30 Chunlin Gong , Xu Li , Hua Su , Jinlei Guo , Liangxian Gu

Bayesian optimisation is a popular, surrogate model-based approach for optimising expensive black-box functions. Given a surrogate model, the next location to expensively evaluate is chosen via maximisation of a cheap-to-query acquisition…

Machine Learning · Computer Science 2020-03-31 George De Ath , Richard M. Everson , Jonathan E. Fieldsend , Alma A. M. Rahat

Diverse domains of science and engineering use parameterised mechanistic models. Engineers and scientists can often hypothesise several rival models to explain a specific process or phenomenon. Consider a model discrimination setting where…

Machine Learning · Computer Science 2021-11-02 Simon Olofsson , Eduardo S. Schultz , Adel Mhamdi , Alexander Mitsos , Marc Peter Deisenroth , Ruth Misener

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

Optimization and Control · Mathematics 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

We introduce a surrogate-based black-box optimization method, termed Polynomial-model-based optimization (PMBO). The algorithm alternates polynomial approximation with Bayesian optimization steps, using Gaussian processes to model the error…

Optimization and Control · Mathematics 2024-03-13 Janina Schreiber , Pau Batlle , Damar Wicaksono , Michael Hecht

MATSuMoTo is the MATLAB Surrogate Model Toolbox for computationally expensive, black-box, global optimization problems that may have continuous, mixed-integer, or pure integer variables. Due to the black-box nature of the objective…

Optimization and Control · Mathematics 2014-04-17 Juliane Mueller

When a black-box optimization objective can only be evaluated with costly or noisy measurements, most standard optimization algorithms are unsuited to find the optimal solution. Specialized algorithms that deal with exactly this situation…

Machine Learning · Computer Science 2021-06-11 Laurens Bliek , Sicco Verwer , Mathijs de Weerdt

Bayesian Optimization (BO) is a powerful method for optimizing black-box functions by combining prior knowledge with ongoing function evaluations. BO constructs a probabilistic surrogate model of the objective function given the covariates,…

Machine Learning · Statistics 2025-08-26 Roi Naveiro , Becky Tang

In recent years, surrogate models have been successfully used in likelihood-free inference to decrease the number of simulator evaluations. The current state-of-the-art performance for this task has been achieved by Bayesian Optimization…

Machine Learning · Computer Science 2021-10-06 Alexander Aushev , Henri Pesonen , Markus Heinonen , Jukka Corander , Samuel Kaski

Multidisciplinary design optimization methods aim at adapting numerical optimization techniques to the design of engineering systems involving multiple disciplines. In this context, a large number of mixed continuous, integer and…

Offline design optimization problem arises in numerous science and engineering applications including material and chemical design, where expensive online experimentation necessitates the use of in silico surrogate functions to predict and…

Machine Learning · Computer Science 2025-03-05 Minh Hoang , Azza Fadhel , Aryan Deshwal , Janardhan Rao Doppa , Trong Nghia Hoang

Spatial prediction refers to the estimation of unobserved values from spatially distributed observations. Although recent advances have improved the capacity to model diverse observation types, adoption in practice remains limited in…

Machine Learning · Statistics 2025-10-10 Yuta Shikuri , Hironori Fujisawa

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.…

Machine Learning · Statistics 2021-05-06 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

In climate systems, physiological models, optics, and many more, surrogate models are developed to reconstruct chaotic dynamical systems. We introduce four data-driven measures using global attractor properties to evaluate the quality of…

Computational Physics · Physics 2025-06-12 Luci Fumagalli , Kathy Lüdge , Jana de Wiljes , Heikki Haario , Lina Jaurigue

Learning controller parameters from closed-loop data has been shown to improve closed-loop performance. Bayesian optimization, a widely used black-box and sample-efficient learning method, constructs a probabilistic surrogate of the…

Machine Learning · Computer Science 2025-12-15 Sebastian Hirt , Valentinus Suwanto , Hendrik Alsmeier , Maik Pfefferkorn , Rolf Findeisen

We consider minimizing functions for which it is expensive to compute the (possibly stochastic) gradient. Such functions are prevalent in reinforcement learning, imitation learning and adversarial training. Our target optimization framework…

Machine Learning · Computer Science 2023-06-09 Jonathan Wilder Lavington , Sharan Vaswani , Reza Babanezhad , Mark Schmidt , Nicolas Le Roux

Explicitly accounting for uncertainties is paramount to the safety of engineering structures. Optimization which is often carried out at the early stage of the structural design offers an ideal framework for this task. When the…

Methodology · Statistics 2022-12-14 M. Moustapha , A. Galimshina , G. Habert , B. Sudret

This work aims at developing new methodologies to optimize computational costly complex systems (e.g., aeronautical engineering systems). The proposed surrogate-based method (often called Bayesian optimization) uses adaptive sampling to…