Table 1 The main notations used in Fig. 4.

From: Enhanced ANN-based ensemble method for bridge damage characterization using limited dataset

Notation

Explanation

1

\(x=\left[ {{x_1},{x_2},{x_3},{x_4}} \right]\)

The dataset with the primary 4 inputs attributes

2

\(\widehat {{{y_i}}},~i=1,2,3\)

The predicted output of the enhanced input-doubling method for the i-Zone after first level of the enhanced ensemble

3

The enhanced input-doubling method

A weak predictor at the first level of the enhanced cascade ensemble

4

GRNN

General Regression Neural Network – a weak predictor at the second level of the enhanced cascade ensemble

5

\(\acute{x}=\left[ {{{\hat {y}}_1},{{\hat {y}}_2},{{\hat {y}}_3}} \right]\)

New training dataset for the second level of the cascade ensemble that contains predicted output of the enhanced input-doubling method for each 3 Zones

6

\(y_{i}^{{pred}},~i=1,2,3\)

The final predicted output of the enhanced ANN-based ensemble method for the i-Zone