An Incremental Learning Ensemble Strategy for Industrial Process Soft Sensors

Algorithm 1

Incremental learning ensemble strategy.

Input

(i) sub datasets are drawn from original data set. Here, , .

(ii) The number of sub learning machines is .

(iii) The coefficients of determination are and .

For

  Initialize . Here, , is the amount of data.

  For

(1) Calculate . is a distribution, and is the weight of .

(2) Randomly choose the training sub dataset and the testing sub dataset according to .

(3) The sub learning machine is trained by to obtain a soft sensor model .

(4) Calculate the error of using and :

(5) Calculate the error rate . If , give up , and return to step (2).

(6) Calculate , where or 3. Obtain the ensemble soft sensor model according to :

(7) Calculate the error of using . If , give up , and return to step (2).

(8) Calculate to update the weights:

Output: Obtain the ensemble soft sensor model according to :