Correction to: Optimization of CVC shifting mode for hot strip mill based on the proposed LightGBM prediction model of roll shifting

Correction to: The International Journal of Advanced Manufacturing Technology

https://doi.org/10.1007/s00170-021-07395-7

The original article contained symbol mistakes regarding formulas (10) and (11):

$$ \left|{x}_i^j-{\overline{x}}^j\right|>3\delta; i,\dots, n;j,\dots, m $$

(10)

Where x^j and δ are the average value and standard deviation of j-th variable, n and m are the numbers of samples and variables, respectively.

$$ {\mathrm{R}}^2=1-\frac{\sum_{i=1}^N{\left({y}_i-{\hat{y}}_i\right)}^2}{\sum_{i=1}^N{\left({y}_i-{\overline{y}}_i\right)}^2} $$

(11)

where N is the number of testing samples, y_i is the average value of measured shifting position, ${\hat{y}}_i$ and y_i are the predicted and measured shifting positions, respectively.

The correct symbols regarding formulas (10) and (11) are shown below:

$$ \left|{x}_i^j-{\overline{x}}^j\right|>3\delta; i,\dots, n;j,\dots, m $$

(10)

Where $\overline {x^j}$ and δ are the average value and standard deviation of j-th variable, n and m are the numbers of samples and variables, respectively.

$$ {\mathrm{R}}^2=1-\frac{\sum_{i=1}^N{\left({y}_i-{\hat{y}}_i\right)}^2}{\sum_{i=1}^N{\left({y}_i-{\overline{y}}_i\right)}^2} $$

(11)

where N is the number of testing samples, $\overline{y_i}$ is the average value of measured shifting position, ${\hat{y}}_i$ and y_i are the predicted and measured shifting positions, respectively.

The original article has been corrected.