Sobol序列
采样(信号处理)
拉丁超立方体抽样
灵敏度(控制系统)
校准
颂歌
超立方体
计算机科学
趋同(经济学)
数学
算法
数学优化
应用数学
统计
蒙特卡罗方法
滤波器(信号处理)
工程类
经济增长
经济
计算机视觉
并行计算
电子工程
作者
Marissa Renardy,Louis R. Joslyn,Jess A. Millar,Denise E. Kirschner
标识
DOI:10.1016/j.mbs.2021.108593
摘要
Computational and mathematical models in biology rely heavily on the parameters that characterize them. However, robust estimates for their values are typically elusive and thus a large parameter space becomes necessary for model study, particularly to make translationally impactful predictions. Sampling schemes exploring parameter spaces for models are used for a variety of purposes in systems biology, including model calibration and sensitivity analysis. Typically, random sampling is used; however, when models have a high number of unknown parameters or the models are highly complex, computational cost becomes an important factor. This issue can be reduced through the use of efficient sampling schemes such as Latin hypercube sampling (LHS) and Sobol sequences. In this work, we compare and contrast three sampling schemes - random sampling, LHS, and Sobol sequences - for the purposes of performing both parameter sensitivity analysis and model calibration. In addition, we apply these analyses to different types of computational and mathematical models of varying complexity: a simple ODE model, a complex ODE model, and an agent-based model. In general, the sampling scheme had little effect when used for calibration efforts, but when applied to sensitivity analyses, Sobol sequences exhibited faster convergence. While the observed benefit to convergence is relatively small, Sobol sequences are computationally less expensive to compute than LHS samples and also have the benefit of being deterministic, which allows for better reproducibility of results.
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