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ANN is universally applicable for modeling nonlinear responses whereas RSM approximates responses in terms of an explicit quadratic function of the independent experimental factors (Marchitan et al. 2010; Maran and Priya 2015).
We used Tanh functions for modeling nonlinear responses as regulatory effects of microbes.
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To our understanding, Tanh functions have been used to model nonlinear responses in some microbial studies, such as dose influences of pathogens [ 25], regulatory effects of microbes [ 26], influences of microbial compositions (phospholipids fatty acids) [ 27].
ANNs are especially useful for modeling highly nonlinear responses.
This approach makes use of Gaussian processes (GP) to account for possibly nonlinear dynamics of the hidden TFA, and to model nonlinear target gene responses of regulated genes.
Thus, while the inability of impulse responses to model nonlinear systems hampers the performance of the AEC system in the first place, this inability is exploited here to estimate an otherwise inaccessible intermediate signal to guide the estimation of the nonlinear components (described in the next paragraphs).
As a standard model of cochlear filtering, the Gammatone filter bank can model the nonlinear response and frequency selectivity of basilar membranes in human ears by means of low-order causal filters with few parameters, and its impulse response function is represented as, g f, t = t a − 1 e − 2 π b t cos 2 π f t, t ≥ 0 0, t < 0 (3). Figure 2 Principle of the TSCC feature extraction algorithm.
Mohr-Coulomb failure criterion was used to model the nonlinear response of the soil.
Based upon the reduced model, cable׳s nonlinear responses under non-ideal support excitations(and also the coupled responses) are found, with stability and bifurcation characteristics determined.
By means of 3D structural models, detailed nonlinear response history analyses are performed for a set of seismic records at several increasing intensities.
A 3D progressive damage model was developed to predict the damage characteristics in the face sheets in combination with a viscoplastic-damage model to simulate the nonlinear response of the core.
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