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Smoothing Models are based on spatial smoothing of independent events.
We develop computationally efficient, Bayesian spatial smoothing models that acknowledge the design weights.
While it is appealing to use spatial smoothing models, and many approaches have been suggested for this endeavor, it is rare for spatial models to incorporate the weighting scheme, leaving the analysis potentially subject to bias.
To some extent, this problem can be addressed by applying smoothing models to the risk estimates that take the overall distribution of rates into account (Rezaeian et al. 2007).
Version 4 also added time series forecasting and new smoothing models, such as the seasonal smoothing method, called Winter's Method, and the ARIMA (Autoregressive Integrated Moving Average).
To estimate expression profiles as continuous functions over time, we used cubic B-spline smoothing models, following methods previously established for microarray data [26], [27], [28] with the modifications described below and in Fig. S2.
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A smoothing model should be chosen according to the expected smoothness of compound concentration trends i.e. how likely they are to exhibit rapid fluctuations.
Two-point coupling smoothing model.
Three-point coupling smoothing model.
There are two methods for modeling of the penalty: three-point coupling smoothing model and two-point coupling smoothing model.
The Gaussian smoothing model is introduced in [22].
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