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Kriging-based surrogate models have become very popular during the last decades to approximate a computer code output from few simulations. In practical applications, it is very common to sequentially add new simulations to obtain more…

Statistics Theory · Mathematics 2012-10-31 Loic Le Gratiet , Claire Cannamela

Reliability-based design optimization (RBDO) is traditionally formulated as a nested optimization and reliability problem. Although surrogate models are generally employed to improve efficiency, the approach remains computationally…

Computation · Statistics 2026-04-08 M. Moustapha , B. Sudret

Several methods have been proposed in the literature to solve reliability-based optimization problems, where failure probabilities are design constraints. However, few methods address the problem of life-cycle cost or risk optimization,…

Computation · Statistics 2020-07-09 H. M. Kroetz , M. Moustapha , A. T. Beck , B. Sudret

Some popular functions used to test global optimization algorithms have multiple local optima, all with the same value, making them all global optima. It is easy to make them more challenging by fortifying them via adding a localized bump…

Optimization and Control · Mathematics 2021-07-19 Charles F. Jekel , Raphael T. Haftka

We investigate two new strategies for the numerical solution of optimal stopping problems within the Regression Monte Carlo (RMC) framework of Longstaff and Schwartz. First, we propose the use of stochastic kriging (Gaussian process)…

Computational Finance · Quantitative Finance 2016-10-27 Michael Ludkovski

Computer experiments have become an indispensable alternative to complex physical and engineering experiments. The Kriging model is the most widely used surrogate model, with the core goal of minimizing the discrepancy between the surrogate…

Methodology · Statistics 2026-01-26 Ruonan Zheng , Min-Qian Liu , Yongdao Zhou , Xuan Chen

This paper proposes a unified framework for the global optimization of a continuous function in a bounded rectangular domain. Specifically, we show that: (1) under the optimal strategy for a two-armed decision model, the sample mean…

Optimization and Control · Mathematics 2025-11-11 Xiaohong Chen , Zengjing Chen , Wayne Yuan Gao , Xiaodong Yan , Guodong Zhang

Engineering design involves demanding models encompassing many decision variables and uncontrollable parameters. In addition, unavoidable aleatoric and epistemic uncertainties can be very impactful and add further complexity. The…

Systems and Control · Electrical Eng. & Systems 2026-02-27 Enrico Ampellio , Blazhe Gjorgiev , Giovanni Sansavini

Designing the architecture for an artificial neural network is a cumbersome task because of the numerous parameters to configure, including activation functions, layer types, and hyper-parameters. With the large number of parameters for…

Machine Learning · Computer Science 2018-10-15 Bas van Stein , Hao Wang , Thomas Bäck

A global optimization framework, acronymed COMBEO (Change OfMeasure Based Evolutionary Optimization), is proposed. An important aspect in the development is a set of derivative-free additive directional terms obtainable through a change of…

Methodology · Statistics 2014-11-10 Saikat Sarkar , Debasish Roy

The optimal and robust design of structures has gained much attention in the past ten years due to the ever increasing need for manufacturers to build robust systems at the lowest cost. Reliability-based design optimization (RBDO) allows…

Applications · Statistics 2017-04-12 Vincent Dubourg , Jean-Marc Bourinet , Bruno Sudret

Multimodal optimization is often encountered in engineering problems, especially when different and alternative solutions are sought. Evolutionary algorithms can efficiently tackle multimodal optimization thanks to their features such as…

Neural and Evolutionary Computing · Computer Science 2024-10-11 Kemal Erdem Yenin , Reha Oguz Sayin , Kuzey Arar , Kadir Kaan Atalay , Fabio Stroppa

The aim of this study is to assess the performances of the global optimisation (GO) method (Bone position estimation from skin marker co-ordinates using GO with joint constraints. Journal of Biomechanics 32, 129-134) within the upper limb…

Optimization and Control · Mathematics 2009-06-19 Emmanuel Roux , Stéphane Bouilland , Anne-Pascale Godillon-Maquinghen , Denis Bouttens

We consider an optimization problem of an expensive-to-evaluate black-box function, in which we can obtain noisy function values in parallel. For this problem, parallel Bayesian optimization (PBO) is a promising approach, which aims to…

Machine Learning · Computer Science 2026-03-13 Shuhei Sugiura , Ichiro Takeuchi , Shion Takeno

This paper reports on continuing research into the modelling of an order picking process within a Crossdocking distribution centre using Simulation Optimisation. The aim of this project is to optimise a discrete event simulation model and…

Artificial Intelligence · Computer Science 2010-07-05 Adrian Adewunmi , Uwe Aickelin

Risk-sensitive control balances performance with resilience to unlikely events in uncertain systems. This paper introduces ergodic-risk criteria, which capture long-term cumulative risks through probabilistic limit theorems. By ensuring the…

Optimization and Control · Mathematics 2025-03-11 Shahriar Talebi , Na Li

A large number of optimization algorithms have been developed by researchers to solve a variety of complex problems in operations management area. We present a novel optimization algorithm belonging to the class of swarm intelligence…

Adaptation and Self-Organizing Systems · Physics 2016-08-05 Ilario De Vincenzo , Ilaria Giannoccaro , Giuseppe Carbone

A cooperative group optimization (CGO) system is presented to implement CGO cases by integrating the advantages of the cooperative group and low-level algorithm portfolio design. Following the nature-inspired paradigm of a cooperative…

Neural and Evolutionary Computing · Computer Science 2018-08-07 Xiao-Feng Xie , Jiming Liu , Zun-Jing Wang

Gaussian processes~(Kriging) are interpolating data-driven models that are frequently applied in various disciplines. Often, Gaussian processes are trained on datasets and are subsequently embedded as surrogate models in optimization…

Optimization and Control · Mathematics 2024-01-17 Artur M. Schweidtmann , Dominik Bongartz , Daniel Grothe , Tim Kerkenhoff , Xiaopeng Lin , Jaromil Najman , Alexander Mitsos

In the financial system, bailout strategies play a pivotal role in mitigating substantial losses resulting from systemic risk. However, the lack of a closed-form objective function to the optimal bailout problem poses significant challenges…

Risk Management · Quantitative Finance 2025-08-27 Shuhua Xiao , Jiali Ma , Li Xia , Shushang Zhu