Table 3 Equations of the chosen regression metrics.
From: Advanced predictive machine and deep learning models for round-ended CFST column
Metric | Equation | Â |
|---|---|---|
\(\:{\varvec{R}}^{2}\) | \(\:1-\frac{{\sum\:}_{i=1}^{n}{\left({y}_{i}-\widehat{{y}_{i}}\right)}^{2}}{{\sum\:}_{i=1}^{n}{\left({y}_{i\:}-\stackrel{-}{y}\right)}^{2}}\) | (1) |
RMSE | \(\:\sqrt{\frac{\sum\:_{i=1}^{\:n}{\left({y}_{i}-\widehat{{y}_{i}}\right)}^{2}}{n}\:}\) | (2) |
MAE | \(\:\frac{\sum\:_{i=1}^{\:n}\left|{y}_{i}-\widehat{{y}_{i}}\right|}{n}\) | (3) |
MAPE | \(\:\frac{\sum\:\left|\frac{{y}_{i}-\widehat{{y}_{i}}}{{y}_{i}}\right|}{n}\:\times\:\:100\) | (4) |
MBE | \(\:\frac{\sum\:\left(\widehat{{y}_{i}}\--{y}_{i}\right)}{n}\) | (5) |
