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Computer experiments have become ubiquitous in science and engineering. Commonly, runs of these simulations demand considerable time and computing, making experimental design extremely important in gaining high quality information with…

统计理论 · 数学 2017-05-15 Benjamin Haaland , Wenjia Wang , Vaibhav Maheshwari

Computer simulators are nowadays widely used to understand complex physical systems in many areas such as aerospace, renewable energy, climate modeling, and manufacturing. One fundamental issue in the study of computer simulators is known…

统计方法学 · 统计学 2019-02-05 Feng Yang , C. Devon Lin , Pritam Ranjan

Simulation models often have parameters as input and return outputs to understand the behavior of complex systems. Calibration is the process of estimating the values of the parameters in a simulation model in light of observed data from…

统计方法学 · 统计学 2024-11-15 Özge Sürer

One way to investigate the precision of estimates likely to result from planned experiments and planned epidemiological studies is to simulate a large number of possible outcomes and analyse the sets of possible results. This appears to be…

统计计算 · 统计学 2013-06-28 G. K. Robinson , L. M. Ryan

We introduce statistical techniques required to handle complex computer models with potential applications to astronomy. Computer experiments play a critical role in almost all fields of scientific research and engineering. These computer…

天体物理仪器与方法 · 物理学 2021-09-01 Joshua Lukemire , Qian Xiao , Abhyuday Mandal , Weng Kee Wong

The halo occupation distribution (HOD) approach has proven to be an effective method for modeling galaxy clustering and bias. In this approach, galaxies of a given type are probabilistically assigned to individual halos in N-body…

宇宙学与河外天体物理 · 物理学 2017-03-15 Juliana Kwan , Katrin Heitmann , Salman Habib , Nikhil Padmanabhan , Hal Finkel , Nick Frontiere , Adrian Pope

In cosmology, emulators play a crucial role by providing fast and accurate predictions of complex physical models, enabling efficient exploration of high-dimensional parameter spaces that would be computationally prohibitive with direct…

宇宙学与河外天体物理 · 物理学 2026-04-10 Deaglan J. Bartlett , Shivam Pandey

In an era where scientific experiments can be very costly, multi-fidelity emulators provide a useful tool for cost-efficient predictive scientific computing. For scientific applications, the experimenter is often limited by a tight…

统计方法学 · 统计学 2023-10-30 Chih-Li Sung , Yi Ji , Simon Mak , Wenjia Wang , Tao Tang

We present methods for emulating the matter power spectrum by combining information from cosmological $N$-body simulations at different resolutions. An emulator allows estimation of simulation output by interpolating across the parameter…

宇宙学与河外天体物理 · 物理学 2021-11-17 Ming-Feng Ho , Simeon Bird , Christian R. Shelton

We investigate the merits of replication, and provide methods for optimal design (including replicates), with the goal of obtaining globally accurate emulation of noisy computer simulation experiments. We first show that replication can be…

统计方法学 · 统计学 2019-01-28 Mickael Binois , Jiangeng Huang , Robert B Gramacy , Mike Ludkovski

Cosmological probes pose an inverse problem where the measurement result is obtained through observations, and the objective is to infer values of model parameters which characterize the underlying physical system -- our Universe. Modern…

天体物理仪器与方法 · 物理学 2019-05-21 Timur Takhtaganov , Zarija Lukic , Juliane Mueller , Dmitriy Morozov

Calibration of expensive simulation models involves an emulator based on simulation outputs generated across various parameter settings to replace the actual model. Noisy outputs of stochastic simulation models require many simulation…

统计方法学 · 统计学 2025-05-08 Özge Sürer

Hardware implementations of complex functions regularly deploy piecewise polynomial approximations. This work determines the complete design space of piecewise polynomial approximations meeting a given accuracy specification. Knowledge of…

硬件体系结构 · 计算机科学 2022-05-20 Bryce Orloski , Samuel Coward , Theo Drane

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…

统计方法学 · 统计学 2025-08-06 Xinwei Deng , Lulu Kang , C. Devon Lin

Large-scale computer experiments are becoming increasingly important in science. A multi-step procedure is introduced to statisticians for modeling such experiments, which builds an accurate interpolator in multiple steps. In practice, the…

统计理论 · 数学 2012-03-13 Ben Haaland , Peter Z. G. Qian

Performing a computer experiment can be viewed as observing a mapping between the model parameters and the corresponding model outputs predicted by the computer model. In view of this, experimental design for computer experiments can be…

统计计算 · 统计学 2017-12-29 Chang-Han Rhee , Enlu Zhou , Peng Qiu

The quality of an estimated nonlinear model highly depends on the data quality that was used for the system identification. By using a Gaussian Process-based optimal input design approach, a so-called space-filling dataset can be generated…

系统与控制 · 电气工程与系统科学 2026-05-13 Máté Kiss , Maarten Schoukens , Roland Tóth

The problem of model selection with a limited number of experimental trials has received considerable attention in cognitive science, where the role of experiments is to discriminate between theories expressed as computational models.…

Design-based simulations - procedures that hold realized outcomes fixed and generate variation by resampling treatment assignment or shocks - are widely used in both methodological and applied work to assess inference procedures. This paper…

计量经济学 · 经济学 2026-03-13 Bruno Ferman

I will briefly present my work on cosmological parameters estimation. Classical methods for parameters estimation involve the exploration of the parameter space on a precalculated grid of cosmological models. Here we try to estimate the…

天体物理学 · 物理学 2007-05-23 Stephane Bargot
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