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Probabilistic PCA based spatio-temporal multi-modeling for distributed parameter processes

机译:基于概率PCA的分布式参数流程的时空多模型

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Data-based modeling of unknown distributed parameter systems (DPSs) is very challenging due to their infinite-dimensional, nonlinear and even time-varying dynamics. To get a low-order model for applications, the principal component analysis (PCA) is often used. However, as a linear dimension reduction, it only leads to one set of fixed spatial bases. Therefore a good performance for nonlinear and time-varying DPSs could not be guaranteed. In this study, a probabilistic PCA based spatio-temporal multi-modeling is proposed. Due to its multi-modeling mechanism, a better performance can be achieved, which is demonstrated by simulations.
机译:基于数据的未知分布式参数系统(DPS)的建模是由于它们的无限维度,非线性甚至时变动力学引起的非常具有挑战性。要获得应用程序的低阶模型,通常使用主成分分析(PCA)。然而,作为线性尺寸减少,它只导致一组固定的空间基础。因此,不能保证非线性和时变DPS的良好性能。在该研究中,提出了一种基于概率的PCA的时空多建模。由于其多建模机制,可以实现更好的性能,这是通过模拟证明的。

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