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In order to account for potential multicolinearity, we also estimated our specifications using ridge regression methods instead of ordinary least squares.
It was found that the FEAR method performs better than the earlier applied MLR and ridge regression methods, since the significant main effects are more accurately estimated and because fewer effects are incorrectly considered being either significant or non-significant.
Elastic net regularization [ 71] is a technique that conbines the L1 and L2 penalties of the lasso and ridge regression methods.
Parameters for both lasso and ridge regression methods were obtained by minimizing the mean squared error function using nested 3-fold cross-validation on the training dataset.
A bottom-up approach is introduced to generate end-use indoor and outdoor water profiles by applying GLM and Ridge regression methods to Residential End Uses of Water, Version 2 (REU II-2016) dataset and investigating the influence of demographic and climate factors, as well as utility rate structures on patterns of consumption.
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We also discuss the performance of the proposed estimators compare to the alternative ridge regression method due to Liu (1993).
The FEAR method is compared with Multiple Linear Regression (MLR) methods, as forward selection and stepwise regression, and with the alternative ridge regression method.
Using the ridge regression method, leave-one-out cross-validation scheme demonstrates recognition accuracies of 75.5% for the extraversion trait and 68.6% for the leadership trait.
(C ) A 2D nonlinearity was estimated by ridge regression method from the samples marked in (B ).
MatLab code for the Cox regression based ridge regression method is provided by Bøvelstad et al. [ 36].
We hypothesized a nonlinear function f that takes inputs from the OSN spike rate y and its rate of change dy/ dt and whose output corresponds to the PN spike rate z; for example, z = f (y, d y d t ), and f was estimated using a 2D ridge regression method on 100 × 100 grids (Kim et al., 2011).
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