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Notably, our technique excels in capturing singularities, if present, within the function with minimal Gibbs oscillations, without necessitating the explicit specification of singularity locations. To the best of our knowledge, prior research has not explored the use of piecewise non-linear approximation...
however, a logarithmic transformation (base e) of the publication data was favored over a Poisson model for the following reasons: (1) with regard to growth rates of science, unrestricted growth can be assumed, in which the logarithmic transformation leads to a simple linear regression function....
The DPS algorithm is a combinatorial algorithm that excels the classical GNC in term of speed and SNR resistance. However, its running time slows down considerably for large signals. The main reason for this bottleneck is the size and the number of linear systems that need to be solved. We...
,xti(1≤i≤k) denotes the approximate linear function of 𝑥𝑡𝑖−1+1,𝑥𝑡𝑖−1+2,…,𝑥𝑡𝑖xti−1+1,xti−1+2,…,xti. Since 𝑡𝑖ti indicates the moment when the trend of the time series changes, it is often referred to as a turning point. 2.2.2. Return...