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System reliability analysis aims at computing the probability of failure of an engineering system given a set of uncertain inputs and limit state functions. Active-learning solution schemes have been shown to be a viable tool but as of yet…

Methodology · Statistics 2024-05-10 Maliki Moustapha , Pietro Parisi , Stefano Marelli , Bruno Sudret

A reinforcement learning-enhanced genetic algorithm (RLGA) is proposed for wind farm layout optimization (WFLO) problems. While genetic algorithms (GAs) are among the most effective and accessible methods for WFLO, their performance and…

Neural and Evolutionary Computing · Computer Science 2024-12-11 Guodan Dong , Jianhua Qin , Chutian Wu , Chang Xu , Xiaolei Yang

We propose an extension of the concept of Expected Improvement criterion commonly used in Kriging based optimization. We extend it for more complex Kriging models, e.g. models using derivatives. The target field of application are CFD…

Machine Learning · Statistics 2009-08-25 Łukasz Łaniewski-Wołłk

This paper investigates the use of fractional order (FO) controllers for a microgrid. The microgrid employs various autonomous generation systems like wind turbine generator (WTG), solar photovoltaic (PV), diesel energy generator (DEG) and…

Systems and Control · Computer Science 2014-08-21 Indranil Pan , Saptarshi Das

Combination of low-tensor rank techniques and the Fast Fourier transform (FFT) based methods had turned out to be prominent in accelerating various statistical operations such as Kriging, computing conditional covariance, geostatistical…

Computation · Statistics 2019-04-23 Sergey Dolgov , Alexander Litvinenko , Dishi Liu

Exact Kriging and conditional simulation (CS) for uncertainty quantification are computationally infeasible for modern spatial analyses with large numbers of observations and dense prediction grids. We present a rapid approximation to the…

Methodology · Statistics 2026-05-29 Ziyu Li , Gregory Fasshauer , Douglas Nychka

In spatial statistics, a common method for prediction over a Gaussian random field (GRF) is maximum likelihood estimation combined with kriging. For massive data sets, kriging is computationally intensive, both in terms of CPU time and…

Methodology · Statistics 2018-09-28 Karl T. Pazdernik , Ranjan Maitra , Douglas Nychka , Stephen Sain

We introduce a gradient-free data-driven framework for optimizing the power output of a wind farm based on a Bayesian approach and large-eddy simulations. In contrast with conventional wind farm layout optimization strategies, which make…

Fluid Dynamics · Physics 2023-02-03 Nikolaos Bempedelis , Luca Magri

Coverage planning and optimization is one of the most crucial tasks for a radio network operator. Efficient coverage optimization requires accurate coverage estimation. This estimation relies on geo-located field measurements which are…

Other Computer Science · Computer Science 2016-03-16 Hajer Braham , Sana Ben Jemaa , Gersende Fort , Eric Moulines , Berna Sayrac

For estimation and predictions of random fields it is increasingly acknowledged that the kriging variance may be a poor representative of true uncertainty. Experimental designs based on more elaborate criteria that are appropriate for…

Methodology · Statistics 2013-05-15 Werner G. Müller , Luc Pronzato , Joao Rendas , Helmut Waldl

The increasing uncertainty in modern power systems, driven by the integration of intermittent energy sources and variable loads, underscores the need for probabilistic transient stability assessment. However, existing assessment methods…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Jingyu Liu , Xiaoting Wang , Xiaozhe Wang

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

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

Kriging is a fundamental tool for spatial prediction, but its computational complexity of $O(N^3)$ becomes prohibitive for large datasets. While local kriging using $K$-nearest neighbors addresses this issue, the selection of $K$ typically…

Methodology · Statistics 2026-02-04 Francisco Cuevas-Pacheco , Jonathan Acosta

We propose explicitly incorporating large-scale load siting into a stochastic nodal power system capacity expansion planning model that concurrently co-optimizes generation, transmission and storage expansion. The potential operational…

Optimization and Control · Mathematics 2026-04-17 Tomas Valencia Zuluaga , Simon Pang , Jean-Paul Watson

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

Basis adaptation in Homogeneous Chaos spaces rely on a suitable rotation of the underlying Gaussian germ. Several rotations have been proposed in the literature resulting in adaptations with different convergence properties. In this paper…

High-dimensional complex multi-parameter problems are prevalent in engineering, exceeding the capabilities of traditional surrogate models designed for low/medium-dimensional problems. These models face the curse of dimensionality,…

Methodology · Statistics 2023-07-06 Yili Zhang , Hanyan Huang , Mei Xiong , Zengquan Yao

A cost-effective multi-objective shape optimization strategy is proposed for high-Reynolds number flows involving complex phenomena such as boundary layer transition, shock-wave interactions, and turbulent wakes. These processes are poorly…

Fluid Dynamics · Physics 2025-03-25 Camille Matar , Paola Cinnella , Xavier Gloerfelt

In reliability engineering, conventional surrogate models encounter the "curse of dimensionality" as the number of random variables increases. While the active learning Kriging surrogate approaches with high-dimensional model representation…

Machine Learning · Computer Science 2025-09-10 Wenxiong Li , Hanyu Liao , Suiyin Chen