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Carrera's Unified Formulation is applied to obtain several refined models with orders of expansion in the thickness direction, from linear to fourth-order, for displacements and temperature.
Since most recent results on biomedical NER indicate that better performance results can be obtained by combining annotations from systems with different characteristics [27], we initially considered CRF models with orders 1 to 4 to achieve such heterogeneity.
Then those models with orders of temporal fractional derivative of less than one directly lead to subdiffusion processes, while the models containing orders greater than one indicate the superdiffusion processes.
In this work, we considered only lags of first order, but it is relatively straightforward to generalize this method to analyze SVAR models with orders higher than one.
Markov models with orders of six or above were not examined in the present analysis due to the limited size of prokaryotic genomes resulting in insufficient sample sizes for parameter estimation.
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The IDD results for the conventional LP, PZLP, WLP, and SLP models with order and for the HOLP model with order are shown in Figure 10.
In addition to Order 1, we trained many bi-directional parsing models with Order 0, 2 and 3 using Mallet.
But for reasons we have explained in Section 3.2, all Mallet models are asymmetric and bi-directional parsing models with Order 0 will still produce different results.
Magnetic anomalies were calculated using the CM4 main field model with orders up to 15 (Sabaka et al. 2004).
The optimal model order is typically chosen by estimating several AR models with different orders and determining which model order is optimal with respect to 2 standard information criteria, the Akaike information criterion (AIC) and the Bayesian information criterion (BIC).
An AR model with order is assumed in all the experiments.
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