Applying Machine Learning to Chemical Industry: A Self-Adaptive GA-BP Neural Network-Based Predictor of Gasoline Octane Number

Algorithm 1

BP neural network training algorithms.

 BPBtrain(){

  Initialize network’'s weights and thresholds;

 While termination conditions are not met {

  For each training sample X in the samples {

 // Forward propagation of inputs

 For Each cell j of the hidden or output layer {

    ;

     // The net input to the computational cell is relative to the previous layer i

    ;

     // Calculate the output of cell j. Choose the sigmod function as the activation function

    }// Reverse propagation error

  For each cell j of the output layer{

    ;// Calculate error

 }

  From the last to the first hidden layer, for each cell j of the hidden layer{

      ;

      // k is a neuron in the next layer of j

      }

  For each weight wij in the network {

    ;

     // weighted value added, where is the learning rate

    ;

     // weight update

    }

  For each deviation in the network {

    // Value added deviation

    ;// Deviation update

    }

   }

  }

 }