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Non-Parametric Model Structure Identification and Parametric Efficiency in Nonlinear State Dependent Parameter Models

机译:非参数模型结构识别和非线性状态依赖参数模型中的参数效率

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Although neuro-fuzzy models provide a very useful general approach to the data-based modelling of nonlinear systems, their normal 'black box' nature is often a deterrent to their use in many of the natural sciences, where representation in terms of differential equations, or equivalent difference equations, is normally required and where the internal functioning and physical meaning of the model system is an important aspect of the modelling exercise. Moreover, identification of the model's internal structure can lead to considerable simplification of the model and the avoidance of over-parameterization, with important consequences as regards the statistical efficiency of the model parameter estimates. This paper introduces a non-parametric approach to model structure identification, based on recursive fixed interval smoothing, and shows how it can prove advantageous in the final parametric modelling of stochastic dynamic systems.
机译:虽然神经模糊模型为非线性系统的基于数据建模提供了一个非常有用的一般方法,但它们的正常“黑匣子”性质通常是对许多自然科学的使用,往往是一种威慑,其中在微分方程方面的表示,通常需要等效差分方程,并且模型系统的内部功能和物理含义是建模锻炼的重要方面。此外,模型的内部结构的识别可能导致模型的相当大,简化了模型和避免过参数化,以及模型参数估计的统计效率的重要后果。本文介绍了一种基于递归固定间隔平滑的模型结构识别的非参数方法,并展示了如何在随机动态系统的最终参数化建模中证明它。

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