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Physical systems are modelled and investigated within simulation software in an increasing range of applications. In reality an investigation of the system is often performed by empirical test scenarios which are related to typical…

Machine Learning · Statistics 2018-10-05 Dirk Surmann , Uwe Ligges , Claus Weihs

The two-layer computer simulators are commonly used to mimic multi-physics phenomena or systems. Usually, the outputs of the first-layer simulator (also called the inner simulator) are partial inputs of the second-layer simulator (also…

Methodology · Statistics 2023-05-23 Yan Wang , Dianpeng Wang , Xiaowei Yue

Computer simulations serve as powerful tools for scientists and engineers to gain insights into complex systems. Less costly than physical experiments, computer experiments sometimes involve large number of trials. Conventional design…

Methodology · Statistics 2025-06-06 Xu He , Junpeng Gong , Zhaohui Li

Space-filling designs are crucial for efficient computer experiments, enabling accurate surrogate modeling and uncertainty quantification in many scientific and engineering applications, such as digital twin systems and cyber-physical…

Methodology · Statistics 2025-08-06 Xinwei Deng , Lulu Kang , C. Devon Lin

Sliced Latin hypercube designs (SLHDs) are widely used in computer experiments with both quantitative and qualitative factors and in batches. Optimal SLHDs achieve better space-filling property on the whole experimental region. However,…

Statistics Theory · Mathematics 2019-08-07 Jing Zhang , Jin Xu , Kai Jia , Yimin Yin , Zhengming Wang

In the paradigm of computer experiments, the choice of an experimental design is an important issue. When no information is available about the black-box function to be approximated, an exploratory design have to be used. In this context,…

Computation · Statistics 2011-05-25 Yves Auffray , Pierre Barbillon , Jean-Michel Marin

Learning-to-rank is an applied domain of supervised machine learning. As feature selection has been found to be effective for improving the accuracy of learning models in general, it is intriguing to investigate this process for…

Machine Learning · Computer Science 2023-10-23 Mohd. Sayemul Haque , Md. Fahim , Muhammad Ibrahim

Quantitative assessment of the uncertainties tainting the results of computer simulations is nowadays a major topic of interest in both industrial and scientific communities. One of the key issues in such studies is to get information about…

Statistics Theory · Mathematics 2023-12-05 Guillaume Damblin , Mathieu Couplet , Bertrand Iooss

This research concerns design optimization problems involving numerous design parameters and large computational models. These problems generally consist in non-convex constrained optimization problems in large and sometimes complex search…

Optimization and Control · Mathematics 2024-12-20 A. Batou

Efficient Latin hypercube designs (LHDs), including maximin distance LHDs, maximum projection LHDs and orthogonal LHDs, are widely used in computer experiments. It is challenging to construct such designs with flexible sizes, especially for…

Methodology · Statistics 2021-01-12 Hongzhi Wang , Qian Xiao , Abhyuday Mandal

Bayesian Optimization with multi-objective acquisition functions such as q-Expected Hypervolume Improvement (qEHVI) requires efficient candidate optimization to maximize acquisition function values. Traditional approaches rely on continuous…

Machine Learning · Computer Science 2026-01-13 Sk Md Ahnaf Akif Alvi , Raymundo Arróyave , Douglas Allaire

Space-filling designs such as scrambled-Hammersley, Latin Hypercube Sampling and Jittered Sampling have been proposed for fully parallel hyperparameter search, and were shown to be more effective than random or grid search. In this paper,…

Machine Learning · Computer Science 2020-01-22 M. -L. Cauwet , C. Couprie , J. Dehos , P. Luc , J. Rapin , M. Riviere , F. Teytaud , O. Teytaud

Designs of experiments for multivariate case are reviewed. Fast algorithm of construction of good Latin hypercube designs is developed.

Methodology · Statistics 2009-07-13 Andrey Pepelyshev

Local search metaheuristics like tabu search or simulated annealing are popular heuristic optimization algorithms for finding near-optimal solutions for combinatorial optimization problems. However, it is still challenging for researchers…

Neural and Evolutionary Computing · Computer Science 2024-07-30 Rubén Ruiz-Torrubiano

Demonstrating quantum speedup for approximate optimization of classical spin glasses is of current interest. Such a demonstration must be done with respect to the best-known scaling of classical heuristics at a given optimality gap of a…

Disordered Systems and Neural Networks · Physics 2026-02-04 Adil A. Gangat

Using classical simulated annealing to maximise a function $\psi$ defined on a subset of $\R^d$, the probability $\p(\psi(\theta\_n)\leq \psi\_{\max}-\epsilon)$ tends to zero at a logarithmic rate as $n$ increases; here $\theta\_n$ is the…

Probability · Mathematics 2016-08-16 Sylvain Rubenthaler , Tobias Rydén , Magnus Wiktorsson

Regularized linear models, such as Lasso, have attracted great attention in statistical learning and data science. However, there is sporadic work on constructing efficient data collection for regularized linear models. In this work, we…

Methodology · Statistics 2021-04-06 C. Devon Lin , Peter Chien , Xinwei Deng

Latin Hypercube Sampling (LHS) is a prominent tool in simulation design, with a variety of applications in high-dimensional and computationally expensive problems. LHS allows for various optimization strategies, most notably to ensure…

Methodology · Statistics 2025-09-04 Matteo Boschini , Davide Gerosa , Alessandro Crespi , Matteo Falcone

Simulated annealing is a popular method for approaching the solution of a global optimization problem. Existing results on its performance apply to discrete combinatorial optimization where the optimization variables can assume only a…

Machine Learning · Statistics 2007-09-20 A. Lecchini-Visintini , J. Lygeros , J. Maciejowski

In this article the most fundamental decomposition-based optimization method - block coordinate search, based on the sequential decomposition of problems in subproblems - and building performance simulation programs are used to reason about…

Optimization and Control · Mathematics 2016-09-12 Gian Luca Brunetti
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