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We then describe concrete applications to lattice models with polynomial interactions (i.e., the discretePd-models of Euclidean quantum field theory).
This paper examines various model structures including ARX and step-response models with polynomial or spline nonlinearities and their corresponding identification strategies.
The final RC prediction models were SVR models with polynomial kernels (of degree three) comprising only features with an average z-score of 1.5 and above (about 7% of the total).
We also discuss the variability of spline models with polynomial degrees m = 2,3, 4 and K = 0 interior knots.
For the area, A, of the ruled surface between MHC α-helices, the models with polynomial degrees 2 and 3 yield rather similar mean values.
For B4405, the central points at positions 369 and 737 show larger fluctuations for models with polynomial degrees 3 and 4 than for the model with degree 2; see Figure 4.
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After we established the different models with polynomials and splines with 1 or 2 nodes in combination with polynomials of degree 1 to 7 yielding 21 models on the basis of the PC, we used the cAIC to determine the most appropriate model for our α-helix.
An alternative for developing meta-models with polynomial functions in high-dimensional problems is offered by the newly emerged low-rank approximations (LRA) approach.
The PSO SVM model with polynomial kernel function outperformed other SVM models.
An analytical model with polynomial nonlinearity in the contact between rotors and stators is considered.
A 'subblockwise' linear channel model with polynomial fitting is introduced to facilitate the separated channel estimation of S → R and R → D. 3.
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