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In automotive industry, client needs evolve quickly in a competitiveness context, particularly, regarding the fan involved in the engine cooling module. This study has been done in cooperation with the automotive supplier Valeo. Here, we…

Applications · Statistics 2024-10-30 Agnès Lagnoux , T. M. Ngoc Nguyen , Bruno Demory , Manuel Henner

Surrogate-based optimization relies on so-called infill criteria (acquisition functions) to decide which point to evaluate next. When Kriging is used as the surrogate model of choice (also called Bayesian optimization), one of the most…

Neural and Evolutionary Computing · Computer Science 2020-02-18 Frederik Rehbach , Martin Zaefferer , Boris Naujoks , Thomas Bartz-Beielstein

Kriging is a widely employed technique, in particular for computer experiments, in machine learning or in geostatistics. An important challenge for Kriging is the computational burden when the data set is large. This article focuses on a…

Statistics Theory · Mathematics 2021-03-01 François Bachoc , Nicolas Durrande , Didier Rullière , Clément Chevalier

We propose a method with better predictions at extreme values than the standard method of Kriging. We construct our predictor in two ways: by penalizing the mean squared error through conditional bias and by penalizing the conditional…

Methodology · Statistics 2018-08-28 Minyong R. Lee , Art B. Owen

This paper presents a wind farm layout optimization framework that integrates polynomial chaos expansion, a Kriging model, and the expected improvement algorithm. The proposed framework addresses the computational challenges associated with…

Optimization and Control · Mathematics 2025-02-18 Yi-Xiao Shao , Zhen-Fan Wang , Shine Win Naung , Kai Zhang , Yufeng Yao , Dai Zhou

To obtain more accurate model parameters and improve prediction accuracy, we proposed a regularized Kriging model that penalizes the hyperparameter theta in the Gaussian stochastic process, termed the Theta-regularized Kriging. We derived…

Computation · Statistics 2026-04-17 Xuelin Xie , Xiliang Lu

Algorithmic recourse recommendations, such as Karimi et al.'s (2021) causal recourse (CR), inform stakeholders of how to act to revert unfavourable decisions. However, some actions lead to acceptance (i.e., revert the model's decision) but…

Machine Learning · Statistics 2025-05-30 Gunnar König , Timo Freiesleben , Moritz Grosse-Wentrup

As models in various fields are becoming more complex, associated computational demands have been increasing significantly. Reliability analysis for these systems when failure probabilities are small is significantly challenging, requiring…

Applications · Statistics 2020-02-05 Zeyu Wang , Abdollah Shafieezadeh

In many global optimization problems motivated by engineering applications, the number of function evaluations is severely limited by time or cost. To ensure that each evaluation contributes to the localization of good candidates for the…

Numerical Analysis · Mathematics 2025-10-20 Julien Villemonteix , Emmanuel Vazquez , Eric Walter

Fixed-budget theory is concerned with computing or bounding the fitness value achievable by randomized search heuristics within a given budget of fitness function evaluations. Despite recent progress in fixed-budget theory, there is a lack…

Neural and Evolutionary Computing · Computer Science 2020-06-15 Timo Kötzing , Carsten Witt

Overconservatism has long been recognized as a major issue with robust optimization, despite its key advantages of tractability, performance guarantee, and limited information. To address this issue, a new criterion is proposed that can…

Optimization and Control · Mathematics 2026-03-20 Yingjie Lan

The expected improvement (EI) algorithm is a popular strategy for information collection in optimization under uncertainty. The algorithm is widely known to be too greedy, but nevertheless enjoys wide use due to its simplicity and ability…

Machine Learning · Computer Science 2017-05-30 Chao Qin , Diego Klabjan , Daniel Russo

Machine learning-based reliability analysis methods have shown great advancements for their computational efficiency and accuracy. Recently, many efficient learning strategies have been proposed to enhance the computational performance.…

Machine Learning · Statistics 2024-04-23 Lisang Zhou , Ziqian Luo , Xueting Pan

We propose a novel parameter estimation procedure that works efficiently for conditional random fields (CRF). This algorithm is an extension to the maximum likelihood estimation (MLE), using loss functions defined by Bregman divergences…

Machine Learning · Computer Science 2015-08-11 Yuan Cao

Gradient boosting of prediction rules is an efficient approach to learn potentially interpretable yet accurate probabilistic models. However, actual interpretability requires to limit the number and size of the generated rules, and existing…

Machine Learning · Computer Science 2024-02-27 Fan Yang , Pierre Le Bodic , Michael Kamp , Mario Boley

In complex simulation environments, certain parameter space regions may result in non-convergent or unphysical outcomes. All parameters can therefore be labeled with a binary class describing whether or not they lead to valid results. In…

Applications · Statistics 2019-02-19 Raoul Heese , Michal Walczak , Tobias Seidel , Norbert Asprion , Michael Bortz

We study global optimization (GOP) in the framework of non-linear inverse problems with a unique solution. These problems are in general ill-posed. Evaluation of the objective function is often expensive, as it implies the solution of a…

Numerical Analysis · Mathematics 2007-05-23 W. Jacquet , B. Truyen , P. de Groen , I. Lemahieu , J. Cornelis

Shifted combinatorial optimization is a new nonlinear optimization framework, which is a broad extension of standard combinatorial optimization, involving the choice of several feasible solutions at a time. It captures well studied and…

Optimization and Control · Mathematics 2017-06-08 Martin Koutecky , Asaf Levin , Syed M. Meesum , Shmuel Onn

Spatial prediction requires expensive computation to invert the spatial covariance matrix it depends on and also has considerable storage needs. This work concentrates on computationally efficient algorithms for prediction using very large…

Computation · Statistics 2019-06-11 Roberto Rivera

Option-critic learning is a general-purpose reinforcement learning (RL) framework that aims to address the issue of long term credit assignment by leveraging temporal abstractions. However, when dealing with extended timescales, discounting…

Machine Learning · Computer Science 2019-11-21 Akshay Dharmavaram , Matthew Riemer , Shalabh Bhatnagar
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